Fraction attraction answer key 2020 free practice sheets

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Fractionattractionanswerkey2020freepracticesheets

Fractionattractionworksheetanswers.Fractionattractionworksheetanswerkey.Fractionattractionanswerkey.Fractionattractionworksheet.

Initiallytheparticlewasatrestatx=0.Forlargenthe,wavelengthoftheemittedradiationisproportionalto,[OnlineMay7,2012],(a)n,(b)n3,(c)n4,(d)n2,47.WaveOptics,,Topic1:Wavefront,InterferenceofLight,CoherentandIncoherentSources,Topic2:Young’sDoubleSlitExperiment,Topic3:Difraction,PolarisationofLightandResolvingPower,P-433–P-448,,,,25.Thevelolcityofthe12kgmassis,4ms–1.ItisheldintheXZplaneinamagneticfieldB.03,2020(I)],(a)2.121cm,(b)2.124cm,(c)2.125cm,(d)2.123cm,Theleastcountofthemainscaleofaverniercallipersis,1mm.Awaverepresentedbytheequationy1=acos(kx–wt)is,superimposedwithanotherwavetoformastationarywave,suchthatthepointx–0isnode.2019II],(c),,R(T)=R0e,,(a),,ræ11ö,ç-÷,4pèabø,,(b),,ræ11ö,ç-÷,2pèabø,,ræ11ö,ræ11ö,(d),ç+÷,ç+÷,4pèabø,2pèabø,Inaconductor,ifthenumberofconductionelectrons,perunitvolumeis8.5×1028m–3andmeanfreetimeis,25fs(femtosecond),

it’sapproximateresistivityis:,(me=9.1×10–31kg),[9Apr.Atestparticleismovingincircularorbitinthegravitational,,(b)r=R,,5,R,3,9,29.(b)QTheE.M.wavearetransverseinnaturei.e.,,rr,kÉr,=H,=,…(i),m,r,rB,whereH=,m,rr,r,k´H,and,…(ii),=-E,we,r,r,r,r,kis^Handkisalso^toE,rr,ThedirectionofwavepropagationisparalleltoE´B.,Thedirectionofpolarizationisparalleltoelectricfield.,43.(a)Using,I=neAvd,,\Driftspeedvd=,,1,neA,,=0.02mms–1,´1.6´10-19´5´10-6,rl,12.Ifthedissociationenergy,ofthemoleculeis,,n2,2n2,(b),(c)infinite(d)n,2n-1,n-1,33.Ataspecificinstantemissionofradioactivecompoundis,deflectedinamagneticfield.Theangularspeedthecoilacquiresafterrotating,by60°willbe:,[Sep.Afterinterference,theratioofthemaximum,intensitytotheminimumintensityis16.Themaximumforce,exertedbythesystemontheflooris(takeg=10ms–2),[OnlineApril9,2014],,to:,,1kg,,(g=gravitationalacceleration),(a),,éæTö2ùA,ê1-çM÷ú,ëèTøûMg,éæTö2ùA,êçM÷-1ú,ëèTø,ûMg,,55.,,56.,,[2015],,éæTö2ùA,(b)ê1-çT÷úMg,ëêèMøúû,,éæT,êçM,ëèT,,2,ùMg,ö,(d),(c),÷-1ú,ø,ûA,Aparticlemoveswithsimpleharmonicmotioninastraight,line.(d)Forathinuniformsquaresheet,,I1=I2=I3=,,ma2,12,,2,,I1,I2,,I3Page118:P-109,,SystemofParticlesandRotationalMotion,,ThemomentofinertiaoftherodaboutOis,,12,ml.Whatistheposition,oftheparticleattimet=5s?,[10Jan.The,,r,,correspondingmagneticfieldB,atthatpointwillbe:,[9April2019I],(a)18.9×10–8k̂T,(b)2.1×10–8k̂T,19.,,20.,,21.,,(c)6.3×10–8k̂T,(d)18.9×108k̂T,50W/m2energydensityofsunlightisnormallyincident,onthesurfaceofasolarpanel.Acoilissuspendedinauniformmagneticfield,withthe,planeofthecoilparalleltothemagneticlinesofforce.,Whenacurrentispassedthroughthecoilitstarts,oscillating;Itisverydifficulttostop.Ifonejunctionofthecoupleiskepthotandthe,otheriskeptcold,then,anelectriccurrentwill,[2006],(a)flowfromAntimonytoBismuthatthehotjunction,(b)flowfromBismuthtoAntimonyatthecoldjunction,(c)nowflowthroughthethermocouple,(d)flowfromAntimonytoBismuthatthecoldjunction,Twosourcesofequalemfareconnectedtoanexternal,resistanceR.TwowiresW1andW2havethesameradiusrand,respectivedensitiesr1andr2suchthatr2=4r1.45,(b)1.50,(c)1.47,(d)1.42,Twomolesofheliumgasismixedwiththreemolesof,hydrogenmolecules(takentoberigid).Whenp-njunctiondiodeisforwardbiasedthen,[2004],(a)boththedepletionregionandbarrierheightarereduced,(b)thedepletionregioniswidenedandbarrierheightis,reduced,(c)thedepletionregionisreducedandbarrierheightis,increased,(d)Boththedepletionregionandbarrierheightare,increased,45.Ifitsposition,isx=0att=0,thenitsdisplacementafterunittime(t=,1)is,[2007],(a)v0+g/2+f,(b)v0+2g+3f,(c)v0+g/2+f/3,(d)v0+g+f,Aparticlelocatedatx=0attimet=0,startsmoving,alongwiththepositivex-directionwithavelocity'v'that,variesasv=ax.Sep.(a)Len'sformulaisgivenby,111,=fvu,Forconvexlens,,1,1,1,1,1,=+,Þ,=,30v60,60v,,Similarlyforconcavelens,,m=1+,,Using,54.,,Þm–1=,,514,=,=1.55,99,(a)Forminimumsphericalaberrationseparation,,d=f1–f2=2cm,Resultantfocallength=F=10cm,,\,,53.,,1,æm–1ö,=2ç,÷9,28,è280ø,,10,=–5cm,2,u=(10–6)=–4cm.,Byusingmirrorformula,,,\Focallengthf=,,Case-2,,1æm–1ö,=ç,÷,f1èRø,,TheimageIgetsformedat60cmtotherightofthelens,anditwillbeinverted.,Theraysfromtheimage(I)formedfurtherfallsonthe,convexmirrorformsanotherimage.The,frequencyofresultingoscillationis:,[12Jan2019,I],A,,2,3,s,s,(b),3,2,3,s,(c),(d)23s,2,45.Thespeedsofthesatelliteandthemeteoriteare,thesame,Justbeforethecollision.(a)K.E.ofsimpleharmonicmotion,1,=mw2(a2-x2),2Page225:P-216,,62.,,Physics,,(d)Theequationofmotionforthependulum,for,dampedharmonicmotion,F=–kx-bv,Þma+kx+bv=0,d2x,,dx,m2+kx+b,=0,dt,dt,,Þ,,k,bdx,+x+,=0,mdt,dt2m,,d2x,,Þ,,dt,,2,,+,,bdxk,+x=0,mdtm,,…(1),,Letx=eltisthesolutionoftheequation(1),dx,d2x,=leltÞ,=l2elt,dt,dt2,Substitutingintheequation(1),b,k,l2elt+lelt+elt=0,m,m,b,k,l2+l+=0,m,m,,b,b2,k,±,-4,2,m,m,-b±,m,l=,=,2,Solvingtheequation(1)forx,,-,,x=,,b2-4km,2m,wehave,,-b,t,2,em,,k,+b,w=w02-l2wherew0=,l=,m,2,12,Theaveragelife==,lb,63.Thatismmaxislessthan=1.67,3,3,Butdmwillbelessthan40°so,,mmaxcanbe,,mk2),30.Charges–qand+qlocatedatAandB,respectively,,constituteanelectricdipole.Aninsectcrawlsupahemisphericalsurfaceveryslowly.,Thecoefficientoffrictionbetweentheinsectandthe,surfaceis1/3.Timetakenbya836Wheatertoheatonelitreofwater,from10°Cto40°Cis,[2004],(a)150s,(b)100s,(c)50s,(d)200s,106.Statement1:Noworkisrequiredtobedonetomovea,testchargebetweenanytwopointsonanequipotential,surface.,Statement2:Electriclinesofforceattheequipotential,surfacesaremutuallyperpendiculartoeachother.,[OnlineApril25,2013],(a)Statement1istrue,Statement2istrue,Statement2is,thecorrectexplanationofStatement1.,(b)Statement1istrue,Statement2istrue,Statement2is,notthecorrectexplanationofStatement1.,(c)Statement1istrue,Statement2isfalse.,(d)Statement1isfalse,Statement2istrue.,,41.The,velocityofsoundis320m/s.2019II],(a)45°,(b)60°,(c)75°,(d)90°,,(c)3d,,3.,,S,,(d),,Anobjectisgraduallymovingawayfromthefocalpoint,ofaconcavemirroralongtheaxisofthemirror.Thevalueofreversebiasis,knownas,(a)cutoffvoltage,,(b)zenervoltage,,(c)inversevoltage,,(d)criticalvoltage,,Aphotonmaterializesintoanelectron-positronpair.(d)Thevoltmeterofresistance10kWisparalleltothe,resistanceof400W.Thedisplacementofadampedharmonicoscillatorisgiven,byx(t)=e–0.1t.Aplaneelectromagneticwavehavingafrequency,v=23.9GHzpropagatesalongthepositivez-directionin,freespace.03,2020(II)],(a)ML2T–2,(b)ML0T–3,(c)M2L0T–1,(d)MLT–2,IfspeedV,areaAandforceFarechosenasfundamental,units,thenthedimensionofYoung'smoduluswillbe:,[Sep.(a)Workfunction,f=6.2eV=6.2×1.6×10–19J,Stoppingpotential,V=5volt,FromtheEinstein’sphotoelectricequation,hc,-f=eV0,l,hc,Þl=,f+eV0,Þmc=,,=,,6.6´10,,-34,,´3´108,,»10,,-7,,m,1.6´10(6.2+5),Thisrangeliesinultravioletrange.,64.Themagnitudeofthe,torqueontheloopaboutz-axisisgivenby:,[Sep.Theelectronofahydrogenatommakesatransitionfrom,the(n+1)thorbittothenthorbit.(b)n1=n2,T®Same,r®Same,l®Same,Frequencyofvibration,,T,8,=,´1000=40m/s,m,5,Here,T=tensionandµ=mass/length,v40,m,Wavelengthofwavel==,n100,Separationb/wsuccessivenodes,,l,40,20,=,=,m=20cm,22´100100,33.Thepitchoftheresultinghelicalpathofprotonsis,closeto:(Massoftheproton=1.67×10–27kg,chargeof,theproton=1.69×10–19C),[Sep.Page129:P-120,,69.,,AsatelliteofmassmrevolvesaroundtheearthofradiusR,ataheightxfromitssurface.B,,Y2=A.AB,Y1=AB,B,Y3=B.AB,,ByexpandingthisBoolenexpression,,Y=A.B+B.A,Thusthetruthtableforthisexpressionshouldbe(a).,91.2019I],(a)40J,(b)80J(c)100J,(d),20J,200gwaterisheatedfrom40°Cto60°C.ThevalueofTis:,[11Jan.(Seefigure)D,EandFarethemid-pointsofits,sidesasshownandGisthecentreofthetriangle.Theterminalvelocityofasmallsphereofradiusaina,viscousliquidisproportionalto[OnlineMay26,2012],(a)a2,(b)a3,(c)a,(d)a–1,–3,48.(b)AccordingtoBrewster’slaw,refractiveindexofmaterial(m)isequaltotangentofpolarisingangle,Qtanib=μ=,,1.5,μ,,1,1.5,fandf2becomesnegative,|Focallength||Focallength|,=30cm,=120cm,60cm,20cm,,57.,,70cm,(a)60cmfromtheconvexlens,(b)60cmfromtheconcavelens,(c)70cmfromtheconvexlens,(d)70cmfromtheconcavelens,Tofindthefocallengthofaconvexmirror,astudentrecords,thefollowingdata:,[OnlineApril9,2016],ObjectPinConvexLensConvexMirrorImagePin,22.2cm,32.2cm,45.8cm,71.2cm,Thefocallengthoftheconvexlensisf1andthatofmirror,isf2.Thecoreofanytransformerislaminatedsoasto[2003],(a)reducetheenergylossduetoeddycurrents,(b)makeitlightweight,(c)makeitrobustandstrong,(d)increasethesecondaryvoltage,68.2019I],(Refractiveindexofwater=1.33),,20.ThesurfacetensionisT,,densityofliquidisrandLisitslatentheatof,vaporization.,[2013],(a)rL/T,,(b),,T/rL(c)T/rL,,(d)2T/rL,,38.Ifthesemi-majoraxisof,Earth’sorbitisae=1.5×1011m,thatofMarsorbitam=,2.28×1011m,takenKepler’slawsgivetheestimateoftime,forMangalyantoreachMarsfromEarthtobecloseto:,[OnlineApril9,2014],Marsorbit,O,,M,,am,,ae,Sun,,E,,6.,,Takethemeandistanceofthemoonandthesunfromthe,earthtobe0.4×106kmand150×106kmrespectively.,Theirmassesare8×1022kgand2×1030kgrespectively.,Theradiusoftheearthis6400km.Theangle,betweenthetwomirrorswillbe:,[9Jan.2019II],R1,,R2,,+,,B,,–,(b)Brown,Blue,Black,(d)Grey,Black,Brown,,125.Atthecentreofthespheresisapointcharge,Q.(b)ThekineticenergyofaparticleexecutingS.H.M.at,anyinstanttisgivenby,1222,mawsinwt,2,where,m=massofparticle,a=amplitude,w=angularfrequency,t=time,,K=,,Theaveragevalueofsin2wtoveracycleis,,1,.,2,,1ö,æ1öæ,1,2,\KE=mw2a2çè÷øçèQ<sinq>=÷ø,2,2,2,=,,1,1,22,mwa=ma2(2pn)2,4,4,2,,(Qw=2pn),,22,,or,<K>=pman,31.E.l/2=3(K.TheconnectorhaslengthlandresistanceR.2020I],(a)1.1ev,(b)0.8ev,(c)1.6ev,(d)1.8ev,30.Ofthe,fourchoicesgivenaftertheStatements,choosetheone,thatbestdescribesthetwoStatements.,Statement1:Ifyoupushonacartbeingpulledbyahorse,sothatitdoesnotmove,thecartpushesyoubackwithan,equalandoppositeforce.,Statement2:Thecartdoesnotmovebecausetheforce,describedinstatement1canceleachother.,[OnlineMay26,2012],,a,,a,,(a)gcoseca,(b)g/tana,(c)gtana,(d)g,17.(c)Graph(p)isforasimplediode.,Graph(q)isshowingtheVBreakdownusedforzener,diode.,Graph(r)isforsolarcellwhichshowscut-offvoltage,andopencircuitcurrent.,Graph(s)showsthevariationofresistancehandhence,currentwithintensityoflight.,24.(b),51.Aconcave,mirroroffocallength5cmisplacedattheorigin(seefigure),Identifythecorrectstatements:[OnlineApril15,2018],(A)Theimageexecutesperiodicmotion,(B)Theimageexecutesnon-periodicmotion,(C)Theturningpointsoftheimageareasymmetricw.r.t,theimageofthepointatx=10cm,(D)Thedistancebetweentheturningpointsofthe,oscillationoftheimageis,,8.,,9.,,100,21,,x0=10cm,,x=0,,(a)(B),(D),,(b)(B),(C),,(c)(A),(C),(D),,(d)(A),(D),,60cm,,(b)–24cm,,(c),,–60cm,,(d)24cm,,Acarisfittedwithaconvexside-viewmirroroffocallength,20cm.ACarnotengine,whoseefficiencyis40%,takesinheat,fromasourcemaintainedatatemperatureof500K.Atwopointcharges4qand–qarefixedonthex-axisat,,IfD>>d,thepotentialenergyofthesystemisbestgiven,by,[9April2019I],(a),,1é-q2-qQdù,1é-q22qQdù,+,ê,ú,ê,2ú(b),4pÎ0ëd2Dû,4pÎ0ëd,D2û,,(c),,1éq2qQdù,1éq2qQdù,+2ú(d),-2ú,ê+,ê4pÎ0ëd,4pÎ0ëd,Dû,Dû,,36.(d)Vibrationofatomsandmolecules700nmto1mm,Radioactivedecayofthenucleus<10–3nm,Magnetronvalve1mmto0.1m,55.Thepotentialdifferencemeasuredbya,voltmeterof10kWacross400Wresistoriscloseto:,[Sep.Thevoltage,ofelectricmainis220V.2019I],(a)9×106J,(b)6×104J,(c)108J,(d)3×102J,Anidealgasisenclosedinacylinderatpressureof2atm,andtemperature,300K.Thevalueoftheelectricfieldatthecentreofthe,discis,,s,.If,onpassinga,currentof6mAitproducesadeflectionof2°,itsfigure,ofmeritiscloseto:,[Sep.(a)ForceactingonconductorBduetoconductorAis,givenbyrelation,F=,,m0I1I2l,2pr,,\F=,,W=òFdx=ò3.0´10-4e-0.2x´10´3dx,,=,,5cm,,Tsinq,,q,,(b)Workdoneinmovingtheconductoris,,,-3,,3cm,,l-lengthofconductorB,r-distancebetweentwoconductors,,T,,R,Tsinq,,9´10-3,´[1-e-0.4],0.2,2.97×10–3,9×10–3´(0.33),=,=,2,2,Powerrequiredtomovetheconductoris,,W,P=,t,2.97´10-3,P=,=2.97W,(0.2)´5´10-3,87.Maximumtensionthattheropecanbearis360,N.Thegeneralequationforitspath,is:,[9Jan.Whenatadistanceof10R(Ristheradiusofthe,earth)fromtheearthscentre,ithasaspeedof12km/s.,Neglectingtheeffectofearthsatmosphere,whatwillbe,thespeedoftheasteroidwhenithitsthesurfaceofthe,earth(escapevelocityfromtheearthis11.2km/s)?2019I],,C,alsoperfectlyinelastically,,A,m,(a)6.5m/sand6.3m/s(b)3.2m/sand6.3m/s,(c)6.5m/sand3.2m/s(d)3.2m/sand12.6m/s,70.02,2020(I)],(a)1.27mm,(b)2.87nm,(c)2nm,(d)2.05mm,InaYoung'sdoubleslitexperiment,16fringesareobserved,inacertainsegmentofthescreenwhenlightofwavelength,700nmisused.Themaximumvalueofemfgeneratedin,thecoilis,[2006],(a)N.A.B.R.w,(b)N.A.B,(c)N.A.B.R.,(d)N.A.B.w,Thephasedifferencebetweenthealternatingcurrentand,p,emfis.Thereisnegligiblefrictionbetweencartand,ground.Then,[2012],r,rrr,r,(a)X||Bandk||BÉ,rrr,rr,(b)X||Eandk||E´B,rrr,rr,(c)X||Bandk||E´B,r,rr,rr,(d)X||Eandk||BÉ,Anelectromagneticwavewithfrequencywand,wavelengthltravelsinthe+ydirection.Thevaluesofmodulationindex,andlowersidebandfrequencyare:[12April2019II],(a)0.5and10kHz,(b)0.4and10kHz,(c)0.3and9kHz,(d)0.5and9kHz,Amessagesignaloffrequency100MHzandpeak,voltage100Visusedtoexecuteamplitudemodulationon,acarrierwaveoffrequency300GHzandpeakvoltage400,V.The,amplitudeofoscillationsafter13collisionsis:,(M=10,m=5,u=1,k=1).,[OnlineApril16,2018],,(a),,1,2,,(b),,1,3,,(c),,2,3,,(d),,3,5,,79.Twocoilsareplacedclosetoeachother.UsingEinstein'sphotoelectric,equationwehave,12,mv1=4-f0,...(i),2,12,mv2=2.5-f0,...(ii),2,12,mv1,4-f0,Þ2,=,122.5-f0,mv2,2,4-f0,Þ(2)2=,Þ10-4f0=4-f0,2.5-f0,,f0=2eV,24.,,(a)GraphofVsandfgivenatB(5.5,0),Minimumenergyforejectionofelectron,=Workfunction(f).,f=hVjouleorf=,\f=,,hV,eV(forV=0),e,,6.62´10-34´5.5´1014,1.6´10,,-19,,KEmax=,,-48,,eV=2.27eV,,hc,-f,l,,hc,hc,-f=,-f,l,500,,...(1),,hc,-f,200,Dividingequation(2)by(1),,,Again,3KEmax=,,...(2),,hc,3KEmax3200-f,==,hc,KEmax,1,-f,500,,Puttingthevalueofhc=1237.5andsolvingweget,work,function,f=0.61eV.,27.2019(I)],,g,g,g,g,(b),(c),(d),30,5,10,20,AwireoflengthLandmassperunitlength6.0×10–3kgm–1,isputundertensionof540N.LetLnbethe,wavelengthoftheemittedphotoninthetransitionfrom,thenthstatetothegroundstate.(d)Galvanometerofresistance(G)convertedintoa,voltmeterofrange0-1V.,ig,,R1,,V=1=ig(G+R1),,...(i),,Toincreasetherangeofvoltmeter0-2V,G,,R1,,R2,,...(ii),,Dividingeq.Thereforethevalueofshuntresistancerequired,toconverttheabovegalvanometerintoanammeterofrange,0–10mAis:,[10April2019,I],(a)500W(b)100W(c)200W(d)10W,Amovingcoilgalvanometerhasresistance50Wandit,indicatesfulldeflectionat4mAcurrent.2019II],(a)666Hz,(b)753Hz,(c)500Hz,(d)333Hz,Twositarstrings,AandB,playingthenote'Dha'areslightly,outoftuneandproducebeatsandfrequency5Hz.The,tensionofthestringBisslightlyincreasedandthebeat,frequencyisfoundtodecreaseby3Hz.Thebodystartsfromrestand,movesinastraightline.2019II],(a)Th=Tc,(b)Th=2Tc,(c)Th=1.5Tc,(d)Th=0.5Tc,42.TheactualvalueofresistanceR,showninthefigureis30,W.Theco-ordinatesofamovingparticleatanytime‘t’are,givenbyx=at3andy=bt3.The,equivalentinductanceLpisgivenby,1,1,1,1,1113,=+,+,=++==1,LpL1L2L33333,,\Lp=1,62.Atequilibrium,theanglethatthe,pendulummakeswiththeverticalis:,[8April2019I],(takeg=10m/s2),(a)tan–1(2.0)(b)tan–1(0.2),(c)tan–1(5.0)(d)tan–1(0.5),ForauniformlychargedringofradiusR,theelectricfield,onitsaxishasthelargestmagnitudeatadistancehfrom,itscentre.Ifthecatchingprocessiscompletedin0.1s,,theforceoftheblowexertedbytheballonthehandofthe,playerisequalto,[2006],(a)150N(b)3N,(c)30N,(d)300N,Aparticleofmass0.3kgsubjecttoaforceF=–kxwith,k=15N/m.(b)Here,Displacement,x=2×10–2cospt,Velocityisgivenby,,3,,ld,rg,,k1+k2,m,,cPage226:P-217,,Oscillations,,70.,,(a)Timeperiod,t=2p,,l,,geff,,Þ1+,,;,,l,g,,Inair,t0=2p,,Þ,,Buoyant,force,,4,´1000Vg,3,,1000,æ4ö,Vg,Netforce=ç-1÷´1000Vg=,3,è3ø,1000Vg,g,geff=,=,4,3´´1000V4,3,,\t=2p,,l,l,=2´2p,g/4,g,,m,(b)Timeperiodforfirstspring,t1=2p,,,k1,m,Timeperiodforsecondspring,t2=2p,k2,,k1k2,kl+k2,\Timeperiodofoscillationforseriescombination,,Forceconstantoftheseriescombinationkeff=,,m(kl+k2),k1k2,,T=2p,,\T=2p,,2,t1,,mm,+,=2p,+,2,2,k2k1,(2p),(2p),,ÞT2=t12+t22,72.,,wherexisthedisplacementfromthemeanposition,(c)WithmassM,thetimeperiodofthespring.,M,k,WithmassM+m,thetimeperiodbecomes,,,T=2p,,T'=2p,\2p,,Þ,,l'=l+0.21l,Þl'=1.21l,,T'=2p,,M+m5T,=,k,3,,1.21l,g,,%increaseinlength=,1.21l-l,l,,´100=,,T'-T,´100,T,,(,,),,1.21-1´100,,=(1.1-1)´100=10%,74.(d)p-sideconnectedtolowpotentialandn-sideis,connectedtohighpotential.,43.LetD1andD2beanglesofminimum,deviationforredandbluelightrespectivelyinaprismof,thisglass.03,2020(I)],,DegreeofFreedom,Specific,TOPIC3HeatCapacity,andMean,FreePath,26.,,Moleculesofanidealgasareknowntohavethree,translationaldegreesoffreedomandtworotational,degreesoffreedom.(b)Galvanometerhas25divisionsIg=4×10–4×25=10–2A,ig,G,R,,V=IgRnet,,2.5V,,v=Ig(G+R),2.5=(50+R)10–2\R=200W,107.Thesystemis,pulledverticallyupbyapplyingaforceof480Nasshown.,Thetensionatthemid-pointoftherodis:,[OnlineApril22,2013],480N,,(a)144N,,M1,,(b)96N,(c)240N,(d)192N,,M2,,25.B,itactslikeanoptical,systemoffocallength10cm.Aparticleofstringat,x=2misfoundatitsmeanpositionanditismovingin,positivey-directionatt=1sec.Whichofthefollowingisanequivalentcyclicprocess,correspondingtothethermodynamiccyclicgiveninthe,figure?,where,1®2isadiabatic.,(Graphsareschematicandarenottoscale)[9Jan.Iftheobservedfringewidthis1cm,whatis,slitseparationdistance?,(i.e.distancebetweenthecentresofeachslit.)[2018],(a)25mm,(b)50mm(c)75mm,(d)100mm,59.Thetimetakenbytheparticle,to,hittheground,isntimesthattakenbyittoreachthe,highestpointofitspath.Thelengthofthestringis:,(AllquantitiesareinSIunits.),[9April2019(I)],(a)20m,(b)80m,(c)40m(d),60m,Awireoflength2L,ismadebyjoiningtwowiresAandB,ofsamelengthbutdifferentradiirand2randmadeofthe,samematerial.(c)Given,,Refractiveindex,m=,,45°15cm,P,15cm,,45cm,,4,3,,4,sinq=1sin90°,3,3,Þsinq=,4,,30cm,,1,2=158´10-2=N,\m=,15,100,1125,Hence,valueofN;158.,,h,,D=,,2,,15cm,,i,,q,S,r'R,reflectedray,,C,,dvæ0.2ö,=ç,Þ,÷´15,dtè2.8-0.2ø,,Þ,,e,,cosq=,,7,4,,Solidangle,W=2p(1–cosq)=2p(1–7/4),FractionofenergytransmittedPage412:P-403,,RayOpticsandOpticalInstruments,,22.,,(d),,Incidentray,denser,AA,(µD),90°,rarer,(µR),,r,,mRsini,.....Aparallelplatecapacitorismadeoftwoplatesoflengthl,,widthwandseparatedbydistanced.Therateofheat,transferthroughtheslab,inasteadystateis,æA(T2-T1)Kö,çè,÷øf,withfequalto,x,,(d),,R2s,,T,,r,,7,T0,3,5,(d)Tf=T0,2,,(b)Tf=,,[2004],,4x,,2K,,T1,,4,,temperatureT0,whileBoxcontainsonemoleofheliumat,æ7ö,temperatureçè÷øT0.Ifthisdoesnotbreakthe,tie,higherrankwillbeassignedtothecandidatewhohasobtained,highermarksinPhysics.Thetwosphericalbobshaveuniformmassdistribution.Thenthevalueofw2isequalto:,[12Apr.Theseparationbetweenthemisd.Amassof100gofanotherliquidin,anidenticalvesselwithidenticalsurroundingstakesthe,sametimetocoolfrom30°Cto25°C.(b),,25.Theelectricfieldandthewavelengthare,respectively,[OnlineMay26,2012],(a)0.014N/C,36m,(b)0.14N/C,36m,(c)0.14N/C,360m,(d)0.014N/C,360m,Giventheelectricfieldofacompleteamplitudemodulated,waveas,®,æ,ö,ˆc1+Emcoswmtcoswct.,E=iE,çè,÷ø,Ec,Wherethesubscriptcstandsforthecarrierwaveandm,forthemodulatingsignal.ThelengthLismeasuredbyusinga,meterscaleofleastcount1mmandthevalueis20.0cm.So,theirequivalentresistanceis,,Þ150=,,1,1,1,1,1,=,+,=,+,R'10kW400W10000400,Þ,,LetRbetheresistanceofthewholewire,Potentialgradientforthepotentiometerwire,,11+25,26,=,=,R'1000010000,,'AB'=-,,10000,ÞR'=,W,26,UsingOhm'slaw,currentinthecircuit,,ædVö,60´R,VAP=ç,lAP=,´1000mV,1200,èdlAB÷ø,ÞVAP=50RmV,Also,VAP=5V(forbalancepointatP),,Voltage,6,=,NetResistance10000+800,26,Potentialdifferencemeasuredbyvoltmeter,I=,,V=IR'=,,6,10000,´,10000,26,+800,26,,150,=1.95volt,77,110.Theoscillation,frequencyofeachtuningforkisv0=1400Hzandthe,velocityofsoundinairis350m/s.Theelectricfields,,r,é,æzöù,areE1=E01xˆcosê2pvç-t÷úinairand,ècøû,ë,r,E2=E02xˆcos[k(2z-ct)]inmedium,wherethewave,numberkandfrequencyvrefertotheirvaluesinair.2020II],,(a)0.2A,(b)0.6A,(c)0.3A,(d)0A,TwoidenticalcapacitorsAandB,chargedtothesame,potential5Vareconnectedintwodifferentcircuitsas,shownbelowattimet=0.Tousethis,galvanometerasavoltmeterofrange2.5V,itshouldbe,connectedtoaresistanceof:,[12Jan2019,II],(a)250ohm,(b)200ohm,(c)6200ohm,(d)6250ohmPage333:P-324,,Physics,,107.Thepressureinside,thebubbleis1100Nm–2greaterthantheatmospheric,pressure.(c)AccordingtoFaraday’sfirstlawofelectrolysis,m=Z×I×t,WhenIandtissame,mµZ,Þqn=,,mCuZCuÞm=ZCu´m,=,Cu,Zn,ZZn,mZnZZn,,ÞR+R1-R2=0,,\,,ÞR=R2-R1,(a)FromFaraday’sfirstlawofelectrolysis,mass,deposited,,ÞmCu=,,31.5,´0.13=0.126g,32.5Page313:P-304,,78.,79.,,Physics,,(b)FromtheFaraday’sfirstlawofelectrolysis,m=ZItÞmµIt,(b)Given:Power,P=1kW=1000W,R=2W,V=220V,Current,I=,,84.(d)Given:Separationoflensfortwoofitsposition,,d=10cm,Ratioofsizeoftheimagesintwopositions,,a,111,Bylensformula:v–u=f,1,1,1,–,=,V(–a)f,,I13,=,I22,,111,or,=–,...(i),vfa,Mirrorformsimageatequaldistancefrommirror,,v,,I1,,v,,Distanceofobjectfromthescreen,D=?,Applyingformula,,I1(D+d)2,=,I2(D-d)2,,I2,,Þ,,Now,againfromlensformula,,I3,,3,D2+100+20D,=2,2,D+100-20D,Þ3D2+300–60D=2D2+200+40D,ÞD2–100D+100=0,Onsolving,wegetD=99cm,Hencethedistancebetweenthescreenandtheobjectis99cm.,,v,311,–=,aVf,,59.,,62.Theselfinducedemfofacoilis25volts.TwosphericalconductorsAandBofradii1mmand2mm,areseparatedbyadistanceof5cmandareuniformly,charged.Itis,movingwithspeedvandit'ssuddenlybroughttorest.,Assumingnoheatislosttothesurroundings,its,temperatureincreasesby:,[2011],(a),,22.,,23.,,24.,,25.,,(g-1)Mv2K,2gR,,Thetotalinternalenergy,Uofamoleofthisgas,andthe,æCpö,valueofgç=,÷aregiven,respectively,by:,èCvø,[Sep.(a)Compressibility=,,dVmg,=,V,Ka,,volumeofsphere,V=,,ò,,surface,,So,orderis106.,24.,,h,,mv2L,,m=0.02kg,v=20ms–1,L=0.42m,A=(pd2)/(4),d=6×10–3m,Dl=0.2m,y=,,...(ii),,f<mN<m4pbΧaB=(4pmBb)Da,,1F2,1F2´161F2´16,=,=,2A2Y2(pd2)2Y2pd4Y,,=,,25.Forthebodytobeableto,reachthesurfaceofsmallerplanet,theminimumfiring,speedneededis:,[6Sep.Thedisplacement(s)-time(t)graphthatdescribes,themotionoftheparticleis(graphsaredrawnschematically,andarenottoscale):,[3Sep.Theyfallalmost,normallyonascreen.AtthecentreofafixedlargecircularcoilofradiusR,amuch,smallercircularcoilofradiusrisplaced.Ofthefour,choicesgivenaftertheStatements,choosetheonethat,bestdescribesthetwoStatements.,Statement1:WhenmomentofinertiaIofabodyrotating,aboutanaxiswithangularspeedwincreases,itsangular,momentumLisunchangedbutthekineticenergyK,increasesifthereisnotorqueappliedonit.,Statement2:L=Iw,kineticenergyofrotation,12,=Iw,[OnlineMay12,2012],2,(a)Statement1istrue,Statement2istrue,Statement,2isnotthecorrectexplanationofStatement1.,(b)Statement1isfalse,Statement2istrue.,(a),,(c)Statement1istrue,Statement2istrue,Statement,2iscorrectexplanationoftheStatement1.,(d)Statement1istrue,Statement2isfalse.,115.Theenergylostintheprocessis:[9Jan.Aconvergent,mirroroffocallength10cmisplacedatadistanceof60cm,ontheothersideofthelens.2019II],,b,a,x,,(a)NAND(b)OR,(c)NOR,(d)AND,79.2019II],(a)2.5s,(b)2s,(c)5s,(d)3s,94.Thefinaltemperatureofthegaswill,be,closeto,[OnlineMay7,2012],(a)327°C,(b)200°C,(c)54°C,(d)300°C,21.Atravellingwaverepresentedby,y=Asin(wt–kx)issuperimposedonanotherwave,representedbyy=Asin(wt+kx).Whenanairbubbleofradiusrrisesfromthebottomtothe,5r,.06,2020(I)],,(a)ml2w,,(a),,3g,cosq,2l,,(b),,2g,cosq,3l,,3g,2g,sinq,sinq,(d),2l,2l,33.04,2020(II)],3,1,2,(c),(d),a,a,a,17.(d)Given,,Currentpassingthroughgalvanometer,I=6mA,Deflection,q=2°,Figureofmeritofgalvanometer,I6´10-3,=,=3´10-3A/div,2,q,98.2020(I)],(a)4:1,(b)0.8:1(c)8:1,(d)2:1,54.HenceOAisthe,thinnestwireamongthefourwires.,,(c)Given,y=2´1011Nm-2,,æFö,Stressç÷=5´107Nm-2,èAø,,l,,DV=0.02%=2×10–4m3,,20.Itscorrespondingmagneticfieldcomponent,,Bwouldbe:,[8April2019I],(a)2×10–8Talongz-direction,(b)6×10–8Talongx-direction,(c)6×10–8Talongz-direction,(d)2×10–8Talongy-direction,Themagneticfieldofanelectromagneticwaveisgivenby:,ur,Wb,B=1.6´10–6cos2´107z+6´1015t2iˆ+ˆj2,m,Theassociatedelectricfieldwillbe:[8April2019,II],,(,,)(,,),,V,ur,(a)E=4.8×102cos(2×107z–6×1015t)2iˆ+ˆj,m,ur,V,(b)E=4.8´102cos(2´107z-6´1015t)(-2$j+$i),m,,(,,),,V,ur,(c)E=4.8×102cos(2×107z+6×1015t)–iˆ+2ˆj,m,,(,,V,ur,(d)E=4.8×102cos(2×107z+6×1015t)iˆ–2ˆj,m,ThemeanintensityofradiationonthesurfaceoftheSun,isabout108W/m2.2019II],(a)692pJ,(b)508pJ,(c)560pJ,(d)600pJ,70.(d)StatementsIisfalseandStatementIIistrue,,G=,,IgG,I–Ig,ThereforeforItoincrease,Sshoulddecrease,Soadditional,Scanbeconnectedacrossit.,118.2019II],(a)16minutes,(b)22minutes,(c)3minutes,(d)3minutesPage298:CurrentElectricity,,84.TheprocessBCisadiabatic.When,twothintransparentglass(refractiveindexm)platesof,thicknesst1andt2(t1>t2)areplacedinthepathofthe,twobeamsrespectively,thefringepatternwillshiftbya,distance,(a),,b(m-1)æt1ö,lçèt÷ø,,(b),,mbt1,lt2,,(c),,b(m-1),(t1-t2),l,,(d),,(m-1)(t1+t2),,2,,ConsiderGauss’slaw,followingistrue?,,l,b,,q,,ÑòE.dA=Î0,,.Infigure,theopticalfiberisl=2mlongandhasadiameter,ofd=20mm.Whenacarsitatrest,itsdriverseesraindropsfallingon,itvertically.Ifthevelocityofthebulletis20m/sin,thehorizontaldirectionjustbeforethecollisionthenthe,kineticenergyjustbeforethecombinedsystemstrikes,thefloor,is[Takeg=10m/s2.2020(II)],51.Analpha-particleofmassmsuffers1-dimensionalelastic,collisionwithanucleusatrestofunknownmass.[NA9Jan.IfX<Y,thenthenewposition,ofthenullpointfromthesameend,ifonedecidesto,balancearesistanceof3XagainstY,willbecloseto:,[OnlineApril9,2013],(a)80cm,(b)75cm,(c)67cm,(d)50cm,136.Aparticlewhichisexperiencingaforce,givenby,r,r,r,r,r,F=3i-12j,undergoesadisplacementofd=4i.Theratiooftwo,,(a),,resistancesR1,isfoundtobe:,R2,,(a),,l1,l1+l2,,(b),,l2,l2-l1,,(c),,[OnlineApril8,2017],,l1,l1-l2,,(d),,l1,l2-l1,,0.6W,V,,(a)12.5V(b)24.5V(c)13.1V,(d)11.9V,132.(b)Whentworesistancesareconnectedinseries,,Req=2R,,rdr,rdr,DR=,ÞR=,2prl,2plòar,a,,V2,2202,2202,,soR1=,andR2=,P,25,100,,v2112112,´,´10–6,=,R,1.11.1,=11´10–5W,(a)Rateofheati.e.,Powerdevelopedinthewire=,,Power,P’=,,88.,,P=,,V2,R,,Resistanceofthewireoflength,LR1=,,rLrL,=,Apr2,,V2,R1,Resistanceofthewirewhenlengthishalvedi.e.,L/2,,\,,Power,P1=,,L,2=rL=R1,R2=,8,p(2r)2p8r2,r,,V,8V,=,R1R1,8,or,P2=8P1i.e.,power,ororiginalwire.,,\,,Power,P2=,,increased8timesofpreviousPage315:P-306,,I=,,Physics,,101.Fortheinputvoltageshowninfigure,below,thetimevariationoftheoutputvoltageis:,(Graphsdrawnareschematicandnottoscale),[Sep.2020II],(a)56300W,(b)62360W,(c)48000W,(d)66000W,22.(See,figure)(mo=4p×10–7N-A–2),[12April2019,II],,(c),,41.,,OQ,P,,L,,m,3c,,°,,Q,,2cm,,2cm,,R,,P,,43.,,44.,,(a)2.0×10–5T,(b)1.5×10–5T,(c)3.0×10–5T,(d)2.5×10–5T,Themagnitudeofthemagneticfieldatthecenterofan,equilateraltriangularloopofside1mwhichiscarryinga,currentof10Ais:,[10April2019,II],[Takemo=4p×10–7NA–2],(a)18mT(b)9mT,(c)3mT,(d)1mT,AsquareloopiscarryingasteadycurrentIandthe,magnitudeofitsmagneticdipolemomentism.Page499:P-490,,Physics,,58.Thedistanceis,alsoincreasedto3d.The,ratiooftheforcesexperiencedbythetwoparticlessituated,F1,ontheinnerandouterpartsofthering,Fis[2005],2,,(d),,(a),,æR1ö,çèR÷ø,2,,2,,(b),,R2,R1,,R1,(d)1,R2,74.Iftherefractiveindexofthematerialoftheprismisµ,,aray,incidentatanangleq,onthefaceABwouldget,transmittedthroughthefaceACoftheprismprovided:,[2015],A,q,,(b),,B,400500600700,,l(nm),,Dm,,C,,é,æ,æ1öù,(a)q>cos-1êµsinçA+sin-1ç÷ú,èµøûú,è,ëê,é,æ,æ1öù,(b)q<cos-1êµsinçA+sin-1ç÷ú,èµøûú,è,ëê,æ,-1é,-1æ1öù,(c)q>sinêµsinçA-sinç÷ú,èµøûú,è,ëê,,(c),400500600700,,l(nm),,Dm,,æ,-1é,-1æ1öù,(d)q<sinêµsinçA-sinç÷ú,èµøûú,è,ëê,77.Radius,joiningtheirinterfacemakesanangleawithvertical.2020I],,(a)2,,(b),,1,2,,(c),,æ1ö,çè÷ø,2,,g,,(d),,æ1ö,çè÷ø,2,,g+1,2,,18.(c)Speed,V=constant(fromquestion),Centripetalacceleration,,,X,,43.,,q,2,,v1,v2,,v1,,(p-q),-v1Page45:P-36,,4,,Physics,,LawsofMotion,TOPIC1,1.,,2.,,Ist,Ind&IIIrdLawsof,Motion,,Aparticlemovinginthexyplaneexperiencesavelocity,r,dependentforceF=k(vyi$+vx$j),wherevxandvyarex,r,r,andycomponentsofitsvelocityv.So,forthejourneyofboth,theballsfrompointAtoB.,,T,is,3,,2,,1æTö,1gT2h,h'=gç÷Þh'=´,=,2è3ø,2,9,9,\Positionofballfromground=h-,,h,8h,=,9,9,,Wecanapplyv2–u2=2gh.,Asu,g,haresameforboththe,balls,vA=vB,,A,,h,B,,u,uPage35:P-26,,3,,Physics,,MotioninaPlane,5.,,TOPIC1Vectors,1.,,2.,,3.,,®,,AforceF=(i$+2$j+3k$)Nactsatapoint(4$i+3$j-k$)m.,Thenthemagnitudeoftorqueaboutthepoint($i+2$j+k$)m,willbexN-m.Toestablishaninstantaneouscurrentof2Athrougha1,mFcapacitor;thepotentialdifferenceacrossthecapacitor,platesshouldbechangedattherateof:,[OnlineApril22,2013],(a)2×104V/s,(b)4×106V/s,(c)2×106V/s,(d)4×104V/s,ur,93.2020(I)],22.Thediameterofthewireis,(a)6.275mm(b)6.375mm(c)5.75mm(d)5.50mm,Theadjacentfigureshowsthepositiongraphofone,dimensionalmotionofaparticleofmass4kg.2020I],(a)5.8I0,(b)0.2I0,(c)3I0,(d)I0,51.Aliquidinabeakerhastemperatureq(t)attimetandq0,istemperatureofsurroundings,thenaccordingto,Newton'slawofcoolingthecorrectgraphbetween,loge(q–q0)andtis:,[2012],,0,,(a),,T,q0,,loge(q–q0),,Ametallicspherecoolsfrom50°Cto40°Cin300s.ATennisballisreleasedfromaheighthandafterfreely,fallingonawoodenflooritreboundsandreachesheight,h,.Thevalueoftheshunt,resistancethatcancausethedeflectionofq/2,isclosest,to,[OnlineApril16,2018],(a)55W,(b)110W,(c)220W(d)550W,110.Whatisitsspeedwhenithitsplate2?(b)Thecapacitancewithoutaluminiumfoilis,eA,C=0,d,Here,disdistancebetweentheplatesofacapacitor,A=Areaofplatesofcapacitor,Whenanaluminiumfoilofthicknesstisintroduced,betweentheplates.,eA,Capacitance,C¢=0,d–t,Ifthicknessoffoilisnegligible50d–t~d.(c)Forupwardmotionofhelicopter,,,vc=,,v2=u2+2ghÞv2=0+2ghÞv=2gh,Now,packetwillstartmovingundergravity.,Let't'bethetimetakenbythefoodpackettoreachthe,ground.,1,s=ut+at2,2,1,1,Þ-h=2ght-gt2Þgt2-2ght-h=0,2,2,,or,t=,,Bus,,2´,,2m/sec2,,200m,Given,uC=uB=0,aC=4m/s2,aB=2m/s2,hencerelativeacceleration,aCB=2m/sec2,1,Now,weknow,s=ut+at2,2,1,200=´2t2Qu=0,2,Hence,thecarwillcatchupwiththebusaftertime,,t=102second,,1,1,15"escalator",+,=,6040120,second,,2gh±2gh+4´,,1vp´t,v,=,Þvp=,2,V.t,2,4m/sec2,Car,,So,theperson’sspeedis,,v2-u2,2,Letvbevelocityatmidpoint.,S,2,2,Therefore,vc-u=2a,2,,VMA=–1.8km/h=–0.5m/s,Vman,B=Vman,A+VA,B,=Vman,A+VA–VB=–0.5+10–(–20),=–0.5+30=29.5m/s.,30.Ofthe,fourchoicesgivenaftertheStatements,choosetheone,thatbestdescribesthetwoStatements.,Statement1:Selfinductanceofalongsolenoidoflength,L,totalnumberofturnsNandradiusrislessthan,,Statement1carryingcurrentIis,,v,,RW,,I1,,(c),,l,,P,,Blv,2Blv,,I=,3R,3R,Blv,R,,Bln,Bln,,I=,6R,3R,46.(a)ItrepresentsOR-Gate.,ABA+B=Y,00,0,1,Y01,10,1,11,1,,A,,By,,0,0,,0,1,,1,0,,1,1,,0,1,,0,1,,89.06,2020(II)],(a)(5.5375±0.0739)mm(b)(5.5375±0.0740)mm,(c)(5.538±0.074)mm,(d)(5.54±0.07)mm,41.2020I],CV,(a)1.Ifthefirstparticleispushedtowardsthecentre,ofmassthroughadistanced,bywhatdistanceshouldthe,secondparticleismoved,soastokeepthecentreofmass,atthesameposition?,[2006],m2,m1,(a)md,(b)m+md,1,1,2,(c),,m1,d,m2,,(d)d,,21.Whenphotonsofwavelengthl2areused,the,correspondingstoppingpotentialwasthricethatofthe,abovevalue.Agalvanometer,whoseresistanceis50ohm,has25,divisionsinit.Therefore,itexertsa,forceofMgonthespringofspringbalanceS2which,showsthereadingofMkgf.,,35.Twoparticlesofthesamemassmaremovingincircular,-163,-r,orbitsbecauseofforce,givenbyF(r)=,r,Thefirstparticleisatadistancer=1,andthesecond,at,r=4.Foracommonemitterconfiguration,ifaandbhavetheir,usualmeanings,theincorrectrelationshipbetweenaand,bis:,[2016],(a)a=,,(a)40mA,(c)7mA,,E,,RC,,(c),,b,1+b,,11,=+1,ab,,(b)a=,,b2,1+b2,,(d)NoneofthesePage489:P-480,,61.,,Physics,,Arealisticgraphdepictingthevariationofthereciprocal,ofinputresistanceinaninputcharacteristicsmeasurement,inacommonemittertransistorconfigurationis:,[OnlineApril10,2016],(a)1,ri,,(b),,(c),,(W-1),,0.01,,0,,0.6,VBE(V),,1,,66.,,0,,0.6,VBE(V),,1,,67.,,0,,0.6,VBE(V),,1,,1-1,(W),ri,0.01,,1-1,(W),ri,10,,(d),,1-1,(W),ri,0.1,,69.,0,,62.,,63.,,64.,,65.,,68.,,0.6,VBE(V),,1,,Theratio(R)ofoutputresistancer0,andtheinput,resistanceriinmeasurementsofinputandoutput,characteristicsofatransistoristypicallyintherange:,[OnlineApril10,2016],(a)R~102–103,(b)R~1–10,(c)R~0.1–1.0,(d)R~0.1–0.01,Anunknowntransistorneedstobeidentifiedasanpnor,pnptype.Electromagneticwavesaretransverseinnatureisevident,by,[2002],(a)polarization,(b)interference,(c)reflection,(d)diffraction,,TOPIC2ElectromagneticSpectrum,46.(c)Weknowthatworkfunction,,hC,E=hu=,l,where,h=Planck’sconstant,C=velocityoflight,l=wavelengthoflight,E,l,\Na=Cu,ECulNa,hf1-W=,,Þ,,lNaECu4.52,=,=,»,lCuENa2.31Page458:26,,P-449,,Atoms,,Atoms,TOPIC1,1.,,4.,,AtomicStructureand,Rutherford'sNuclearModel,,ThegraphwhichdepictstheresultsofRutherfordgold,foilexperimentwith,[8Jan.TwosourcesoflightemitX-raysofwavelength1nmand,visiblelightofwavelength500nm,respectively.Whatistheforceon,asmallelementdlofwire2atadistanceofrfromwire1(as,showninfigure)duetothemagneticfieldofwire1?Ifcoefficientoflinear,expansionandYoung’smodulusofsteelare1.2×10–5K–1,and2×1011Nm–2respectively,theforcedevelopedin,therailisapproximately:,[OnlineApril9,2017],(a)2×107N,(b)1×105N,(c)2×109N,(d)3×10–5N,,(a)Page165:P-156,,11.,,Physics,,Acompressiveforce,Fisappliedatthetwoendsofa,longthinsteelrod.Assumethatthe,potentialenergylosteachtimehelowersthemassis,dissipated.Thenthevalueoflis(innm),______.,[NA9Jan2020II],Inadouble-slitexperiment,atacertainpointonthescreen,thepathdifferencebetweenthetwointerferingwavesis,1,thofawavelength.Amixtureoflight,consistingofwavelength590nmandan,unknownwavelength,illuminatesYoung’sdoubleslitand,givesrisetotwooverlappinginterferencepatternsonthe,screen.After,r,collision,Amoveswithavelocityv=4iˆ+ˆj.Inanexperimenttodeterminetheperiodofasimplependulumoflength1m,itisattachedtodifferentspherical,bobsofradiir1andr2.Amaninthelift,dropsaballinsidethelift.HedecidestoreachapointPinafieldata,distancedfromhighway(pointM)asshowninthefigure.,Speedofthecarinthefieldishalftothatonthehighway.,WhatshouldbethedistanceRM,sothatthetimetakento,reachPisminimum?,[OnlineApril15,2018],P,d,,(a)(B),(C),(b)(A),(c)(A),(B),(C),(d)(A),(B),(D),12.02,2020(I)],y,w,P(a,b),,n,,19.Ifbothparticlesmovealong,3,thex-axisafterthecollision,thechangeDlinde-Broglie,wavelengthofparticleA,intermsofitsde-Broglie,wavelength(l0)beforecollisionis:[Sep.Thesystemisgivenanangularspeedwabout,thefixedendofthespringsuchthatitrotatesinacirclein,gravityfreespace.Theperiodofoscillationofasimplependulumis,L,.(Assumethatthewatercontainerandspring,receivenegligibleheatandspecificheatofmass=400J/kgK,,specificheatofwater=4184J/kgK),[9April2019II],(a)10–4K,(b)10–5K(c)10–1K,(d)10–3K,23.Onemoleofadiatomicidealgasundergoesacyclicprocess,ABCasshowninfigure.(b)Given,l1=4972Å,,12.4´10312.4´103,=,=2.493eV=3.984×10–19J,l1,4972,,no.If|DT|=C|DP|,,thenvalueofCin(K/atm.)is__________.,[NASep.Thenpotentialatpoint,BwithrespecttothepointAis:,[Sep.Ad.c.mainsupplyofe.m.f.220Visconnectedacrossa,storagebatteryofe.m.f.200Vthrougharesistanceof1W.,Thebatteryterminalsareconnectedtoanexternalresistance,‘R’.2019II],(a)322ms–1,(b)341ms–1,(c)335ms–1,(d)328ms–1,53.Aparticleofmassmisfixedtooneendofalightspring,havingforceconstantkandunstretchedlengthl.Ifthebulk,modulusofcorkisBandfrictionalcoefficientbetweenthe,bottleandcorkismthentheforceneededtopushthecork,intothebottleis:,[OnlineApril10,2016],,29.,,(a),25.,,28.,,(a)(pmBb)a,(b)(2pmBb)Da,(c)(pmBb)Da,(d)(4pmBb)Da,Steelruptureswhenashearof3.5×108Nm–2isapplied.,Theforceneededtopuncha1cmdiameterholeinasteel,sheet0.3cmthickisnearly:,[OnlineApril12,2014],(a)1.4×104N,(b)2.7×104N,(c)3.3×104N,(d)1.1×104N,Thebulkmoduliofethanol,mercuryandwateraregiven,as0.9,25and2.2respectivelyinunitsof109Nm–2.Inacompoundmicroscope,themagnifiedvirtualimageis,formedatadistanceof25cmfromtheeye-piece.(c),,sinq=,,u,21,==,v,42,,37.,,38.,,36.,,q,,withrespecttoflow,,,ĵ(North),,39.,,B,,41.Theresistanceof,theirseriescombinationis1kW.Ifthedistanceofthecentreofmassofthe,a,remainingportionfromOis-,valueofX(tothenearest,X,integer)is___________.,[NASep.UnpolarizedlightofintensityI0isincidentonsurfaceof,ablockofglassatBrewster’sangle.Further,sidesABandCDarenotcuttingany,flux.2020(I)]Page230:P-221,,Waves,,(a)0.03mm,(c)0.04mm,,(b)0.02mm,(d)0.01mm,,24.Thespeedofthewaveis[2004],(a)20m/s,(b)5m/s,(c)2000m/s,(d)5pm/s,15.Theoriginallengthofthespringis:,[OnlineApril23,2013],(a)15cm,(b)12cm,(c)16cm,(d)10cm,71.Inforcedoscillationofaparticletheamplitudeis,maximumforafrequencyw1oftheforcewhiletheenergy,ismaximumforafrequencyw2oftheforce;then,[2004],(a)w1<w2whendampingissmallandw1>w2when,dampingislarge,(b)w1>w2,(c)w1=w2,(d)w1<w2,84.The,3,,12,IwwhereIis,2,themomentofinertiaoftherodaboutO.AcylinderofradiusRissurroundedbyacylindricalshell,ofinnerradiusRandouterradius2R.Kineticenergyofasystemofparticlesiszero.,Then,(a)AdoesnotimplyBandBdoesnotimplyA,(b)AimpliesBbutBdoesnotimplyA,(c)AdoesnotimplyBbutBimpliesA,(d)AimpliesBandBimpliesA,(a),,3v,,(b)v,,(c),,(d)Page76:P-67,,Work,Energy&Power,,Assumingthemassofatheletto40kghisaverageK.E,wouldbe,1,K.E=´40´(10)2=2000J,2,Assumingmassto100kgaveragekineticenergy,1,K.E.=´100´(10)2=5000J,2,40.Inthisexperiment,distancesaremeasuredby,[2008],(a)avernierscaleprovidedonthemicroscope,(b)astandardlaboratoryscale,(c)ameterscaleprovidedonthemicroscope,(d)ascrewgaugeprovidedonthemicroscope,Theimageformedbyanobjectiveofacompound,microscopeis,[2003],(a)virtualanddiminished,(b)realanddiminished,(c)realandenlarged,(d)virtualandenlarged,Anastronomicaltelescopehasalargeapertureto[2002],(a)reducesphericalaberration,(b)havehighresolution,(c)increasespanofobservation,(d)havelowdispersionPage409:P-400,,1.,,Physics,,Magnification,m=,,2.,,Letanglebetweenthetwomirrorsbeq.,RayPQPmirrorM1andRsPmirrorM2,\M1Rs=ÐORQ=ÐM1OM2=q,Similarly,ÐM2QP=ÐOQR=ÐM2OM1=q,,(1),Distanceofobject,u=–30cm,Distanceofimage,v=10cm,-v(-10)1,=,=,u,-30,3,,\,,1,Speedofimage=m2×speedofobject=´9=1cms–1,9,(d)Objectisplacedbeyondradiusofcurvature(R)of,concavemirrorhenceimageformedisreal,invertedand,diminishedorunmagnified.,,6.,,Chi,,3.,,F,Image,,(c)Usingmirrorformula,magnificationisgivenby,f,–1,=,u–f1–u,f,Atfocusmagnificationis¥,Andatu=2f,magnificationis1.,Hencegraph(d)correctlydepicts‘m’versusdistanceof,object‘x’graph.,,P,hi<h0,,v,Þv=-5u,u,111,Using+=,vuf,,(c),,+5=-,,7.,,(c)Whenobjectisat8cm,fú5´8,40,cm,=,=u-f8-5,3,Whenobjectisat12cm,,1,1,1,+=,-5uu0.4,\u=0.32m,,ImageV1=,,or,,ImageV2=,3d,2,,4.,,180°,=60°,3,,m=,,h0,O,,InDORQ,3q=180°Þq=,,S,,L,,(c),,L,,fú5´12,60,=,=cm,u-f12-5,7,,4060100,cm,=,3,7,21,SoA,CandDarecorrectstatements.,(c)Convexmorrorisusedasashavingmirror.,,Separation=V1-V2=,,8.,3d,2,,L,,O,,Totaldistance=,5.,,(b),,10cm,,3d3d,+,=3d,2,2,,15cm,,M1,q,,R,,Fromquestion:v=15cm,u=–10cm,Radiusofcurvature,R=2f=?,,P,,q,,O,,q,,Usingmirrorformula,,,q,,q,Q,,M2,,111,+=,vuf,,1,1,1,+,=,Þf=–30cm,15(-10)f,Thereforeradiusofcurvature,,R=2f=–60cmPage410:P-401,,RayOpticsandOpticalInstruments,,9.,,(a)Frommirrorformula,111,+=,vuf,,Differentiatingtheaboveequation,weget,,13.Thepercentageefficiencyof,theengineiscloseis______.,[NA6Sep.2020II],(a)10A,(b)25A,(c)15A,(d)20A,82.Theangleq(indegrees)thattheresultantof2P,r,r,andQwillmakewithQis_______.,uur,LetA1=3,,uuruuur,2A1+3A2·,,),,TwoforcesPandQ,ofmagnitude2Fand3F,respectively,,areatanangleqwitheachother.02,2020(II)],E,x,mV02,,(a)(+iˆ-3ˆj-2kˆ),,(c)(+iˆ+3ˆj-2kˆ),(d)(-iˆ-3ˆj+2kˆ),21.Thelogicgateequivalenttothegivenlogiccircuitis:,[9Apr.IftheforceQis,doubled,thentheirresultantalsogetsdoubled.Thewavelengthofthe,secondmemberoftheBalmerseries(innm)is______.,[NA8Jan.02,2020(I)],Inafluorescentlampchoke(asmalltransformer)100Vof,reversevoltageisproducedwhenthechokecurrent,changesuniformlyfrom0.25Ato0inadurationof0.025,ms.Thedensityof,graniteis2.7×103kg/m3anditsYoung'smodulusis,9.27×1010Pa.,Whatwillbethefundamentalfrequencyofthelongitudinal,vibrations?,[2018],(a)5kHz(b)2.5kHz(c)10kHz(d)7.5kHz,34.Anelectricdipoleofmomentp=(iˆ-3ˆj+2kˆ)´10-29C.m,isattheorigin(0,0,0).Thereisauniformelectric,fieldinthisregioninthehorizontaldirection.The,mediumisnonmagnetic.2020(I)],,v,,v,h/2,,(a),,h/2,h,,h(v)(b),,v,,v,(c),,h(v),,h,,h,h/2,,h(v)(d),,h,h/2,,h(v),,120s,,(c)102s,(d)15s,Apersonclimbsupastalledescalatorin60s.Ifthespecificheatofthematerialof,thespherevariesasaT3perunitmasswiththetemperature,Tofthesphere,whereaisaconstant,thenthetimetaken,forthespheretocooldowntotemperature2T0willbe(sis,StefanBoltzmannconstant),[OnlineApril19,2014],(a),,(c),36.,,37.,,Ma,,æ3ö,Inç÷,4pRsè2ø,,(b),,2,,Ma,,æ16ö,Inç÷,16pRsè3ø,2,,(d),,Ma,,æ16ö,Inç÷,4pRsè3ø,2,,Ma,,æ3ö,Inç÷,16pRsè2ø,2,,Waterofvolume2Linaclosedcontainerisheatedwitha,coilof1kW.WhichoneofthefollowingstatementsistrueforF,if‘q’isplacedatdistancerfromthe,centreoftheshell?,[Sep.(c),,3,1IA1,=,=IB´;,4,4IB3,Resolvingpowerofmicroscope,,IA´,,2nsinq,l,l=Wavelengthoflightusedtoilluminatetheobject,n=Refractiveindexofthemediumbetweenobjectand,objective,q=Angle,R.P.=,,73.Ifthesamecurrentis,passedinboth,theratioofthemagneticfieldatthe,centraloftheloop(B1)tothatatthecentreofthecoil,B,(BC),i.e.,Lwillbe:,[9Jan2019,II],BC,,(a)N,,(b),,(c)N2,,(d),,1,N,1,,N2,48.Thispiececarries,chargeq.AnotherindenticalpolarizerBisplacedbehind,I,A.Thethicknessofawiremeasuredbythis,screwgaugegivesareadingof4mainscaledivisionsand,30circularscaledivisions.Thede-Broglie,wavelengthofthiselectronis:,[12April2019II],(a)3.5Å,(b)6.6Å(c)12.9Å(d)9.7Å,InLi++,electroninfirstBohrorbitisexcitedtoalevelbya,radiationofwavelengthl.Whatis,theenergyofthegasduetoitsthermalmotion?[2009],(a)5×104J,(b)6×104J,4,(c)7×10J,(d)3×104J,Thespeedofsoundinoxygen(O2)atacertaintemperature,is460ms–1.Themeasured,voltageisplottedasafunctionofthecurrent,andthe,followinggraphisobtained:,[12Apr.Acopperwireisstretchedtomakeit0.5%longer..Lq,2L,,1,mgLq2,2,K,L1,\1=,=,ÞK2=2K1,K22L2,=Page220:P-211,,Oscillations,,\,,K1,L1,=,=,ÞK2=2K1,K22L2,12,kx,2,,24.(d)Timeperiod,T=2p,,1000Vg,,Weight,,m25,=,M,9,,m,T,=,nk,n,,l,wherel=distance,g,betweenthepointofsuspensionandthecentreofmassof,thechild.,Asthechildstandsup,hercentreofmassisraised.If,thecircuitisswitchedonatt=0,thenthetimeatwhichthe,,æ1ö,energystoredintheinductorreachesç÷timesofits,ènø,maximumvalue,is:,[Sep.Aparticleismovinginacircularpathofradiusa,witha,constantvelocityvasshowninthefigure.Twopointchargesq1(10mC)andq2(–25mC)are,placedonthex-axisatx=1mandx=4mrespectively.,Theelectricfield(inV/m)atapointy=3mony-axis,is,,[9Jan2019,II],é,ù,1,=9´109Nm2C-2ú,êtake,4pÎ0,ë,û,(b),,(a)(63î–27ĵ)×102,,(b)(–63î+27ĵ)×102,,(c)(81î–81ĵ)×102(d)(–81î+81ĵ)×102,31.Thethermistorsareusuallymadeof,[2004],(a)metaloxideswithhightemperaturecoefficientof,resistivity,(b)metalswithhightemperaturecoefficientof,resistivity,,(c)metalswithlowtemperaturecoefficientofresistivity,(d)semiconductingmaterialshavinglowtemperature,coefficientofresistivity,105.Therodsarethermallyinsulatedfrom,surroundingsexceptsatends.2019I],,(a)1.8,(b)2.5,(c)5.6,(d),1.4,41.Awind-poweredgeneratorconvertswindenergyintoelectrical,energy.ApointPmovesincounter-clockwisedirectionona,circularpathasshowninthefigure.Aparallelplatecapacitorhavingcapacitance12pFis,chargedbyabatterytoapotentialdifferenceof10V,betweenitsplates.TwoidenticalconductingwiresAOBandCODareplaced,atrightanglestoeachother.ArounduniformbodyofradiusR,massMandmomentof,inertiaIrollsdown(withoutslipping)aninclinedplane,makinganangleqwiththehorizontal.Iftheangular,1°,resolutionoftheeyeis,,thevalueofd0iscloseto:,60,[OnlineApril9,2016],(a)1mm,(b)3mm(c)2mm,(d)4mm,,(b)a=,,67.,,68.,,69.Hence,aconvexlensis,usedtofindthefocallenghtofaconvexmirror.,,6.,,(a)Thelinearrelationshipbetweenvandxis,,11.,,\a=m2x–mC,,[From(i)],,dv,=-m(-mx+C),dx,,P,Pa,2,=5Þa=23,Pi,Pi,23,,(c)Shift=,,=,,v=–mx+CwheremandCarepositiveconstants.,\Acceleration,a=v,,=Pa,,5,(2V)3,,-2,,mg,3,,5,2PiV3,,12.,,(c),,f=,,b(m-1),l,,t1-,,b(m-1),l,,b(m-1),l,,t2,,(t1-t2),,Qnet,FordipoleQnet=0Þf=0,Î0Page523:SolutionsMockTest-2,,13.,,(c),,I=,,MT-15,,ml2,;,12,,Restoringtroque=qElsinq»qElq=,,\w=,,\T=p,,14.,,qEl,qEl´122p,=,=,I,T,ml2,ml,3qE,,2Mg,(beforecomingitrestmomentarilyagain).,K,Thusthemaximumextensioninthespringis,,by,,x=,,2Mg,k,,..........Aparallelplatecapacitorisofarea6cm2anda,separation3mm.Atwhatheight,didhebailout?(12)Weknowthat,Eµlwherelisthebalancinglength,\E=k(560),....(i),Whenthebalancinglengthchangesby60cm,,...(ii),,dl,l,LetR1andR2betheresistanceofAPandPBrespectively.,Usingwheatstonebridgeprinciple,\,,R'R1,orR1=R2,=,R'R2,,Now,òdR=kò,l,,r+1056,=,Þ50r+500=560,10,50,,6,N,Þr=W=WÞN=12,5,10,,116.Builtinpotentialineachdiodeis0.7V.Ofthe,fourchoicesgivenaftertheStatements,choosetheone,thatbestdescribesthetwoStatements.,Statement1:Thepossibilityofanelectricbulbfusingis,higheratthetimeofswitchingON.,Statement2:Resistanceofanelectricbulbwhenitisnotlit,upismuchsmallerthanwhenitislitup.,[OnlineMay7,2012],(a)Statement1istrue,Statement2isfalse,(b)Statement1isfalse,Statement2istrue,Statement,2isnotacorrectexplanationofStatement1.,(c)Statement1istrue,Statement2istrue,Statement2,isacorrectexplanationofStatement1.,(d)Statement1isfalse,Statement2istrue.,100.Thegraphshowshowthemagnificationmproducedbya,thinlensvarieswithimagedistancev.Theratioofthe,energystoredinthecapacitorandtheworkdonebythe,batterywillbe,[2007],(a)1/2,(b)1,(c)2,(d)1/4,TheKirchhoff'sfirstlaw(Si=0)andsecondlaw(SiR=SE),,wherethesymbolshavetheirusualmeanings,are,respectivelybasedon,[2006],(a)conservationofcharge,conservationofmomentum,(b)conservationofenergy,conservationofcharge,(c)conservationofmomentum,conservationofcharge,(d)conservationofcharge,conservatrionofenergy,Athermocoupleismadefromtwometals,Antimonyand,Bismuth.Iftheratiooflengths,radiiandYoung'smoduliofsteel,andbrasswiresinthefigurearea,bandcrespectively,,thenthecorrespondingratioofincreaseintheirlengthsis:,[OnlineApril9,2013],Steel,M,Brass,2M,,3a,2ac,2a2c,(c),(d),2,2bc,b2,b,2ab2,17.(b),,\AµR2or,Aµu4,,Þt=,,40,=20m/s,2,,10–53,=2–3Þq=15°,5,,and,areaA=pR2,,28.,,500,m=6.1m,81,Therefore,theriflemustbeaimed6.1mabovethecentre,ofthetargettohitthetarget.,29.Thismeansthatreflectionmustbe,takingplacefromthefixedendandhencethereflectedray,mustsufferanadditionalphasechangeofporapath,l,changeof.,2,So,ifyincident=acos(kx–wt),Þyincident=acos(–kx–wt+p),=–acos(wt+kx),Henceequationfortheotherwave,y=acos(kx+wt+p),57.A,lenscanproducerealimageoftheobjectonthescreenfor,twodifferentpositionsbetweenthescreenandtheobject.,Thedistancebetweenthesetwopositionsis40cm.Thethermoemfofathermocouplevarieswiththe,temperatureqofthehotjunctionasE=aq+bq2involts,wheretheratioa/bis700°C.(b)WavespeedV=,,T,m,,whencarisatresta=0,,\60=,,Mg,m,,Similarlywhenthecarismovingwithaccelerationa,,,(,,Mg2+a2,,60.5=,,),,12,,m,,Where,,T=Tensioninthewire,m=lineardensityofwire,,60.5,=,60,,(QVµT),,g2+a2,2,æ0.5ö,=1+,çè1+,÷ø=,2,60,60,g,2,Þg2+a2=g2+g2×,60,,g2,4,,v,T,\1=1,v2,T2,2.06´104,v,Þ´2=,v,T2,4,,2.06´10,=0.515´104N,4,ÞT2=5.15×103N,23.Thetrainsoundsawhistleanditsfrequency,registeredbytheobserverisf1Ifthespeedofthetrain,isreducedto17m/s,thefrequencyregisteredisf2If,speedofsoundis340m/s,thentheratiof1/f2is:,[10Jan.Thedipole,momentofYistwicethatofX.(b)Inducedemf,,e=Bvl=1×10–2×0.05=5×10–4V,Equivalentresistance,,R=,,4´2,4,+1.7=+1.7;3W,3,4+2,,Current,i=,,=400mV,,21.Therodisofmass'm',andhasanotherweightofmass2mhungatadistanceof,75cmfromA.valueofEmf=ABw=pR2Bw,,4(4p)10-7´200,10-4,´500´-2p,20,10,,=3.14´0.1´0.1´3´10-5´,,4,Þx=5.,x,(b)Case(a):Whenbarmagnetisenteringwithconstant,speed,flux(f)willchangeandane.m.f.isinduced,so,galvanometerwilldeflectinpositivedirection.,Case(b):Whenmagnetiscompletelyinside,flux(f)will,notchange,sogalvanometerwillshownulldeflection.,Case(c):Whenbarmagnetismakingonexit,againflux,(f)willchangeandane.m.f.isinducedinoppositedirection,sogalvanometerwilldeflectinnegativedirectioni.e.,reversedirection.,(a)Asweknow,emfe=NABwcoswt,HereN=1,Averagepower,,A2B2w2æ1ö,e,ABwcoswt,===,çè÷ø,R,2,R,R,ThereforeaveragepowerlossintheloopduetoJoule,heating,2,,2,,2,,p,0.2,,=15´10-6V=15mV,,=8´10-4volt=0.8mV=,,2,,2p,p,=,2T0.2,,Emfinduced,e=,,=80´p2´10-7´10´102´10-2,,3.,,dB(A)20.032´{p´2´10-3}2,=,=0.61A.,dtrl,1.23´10-8´0.3,,rr,Fluxasafunctionoftimef=B×A=ABcos(wt),,æmNNpr2ö,mNNpr2,e=ç012,8=4012,÷,2R,R,è,ø,,2.,,l,A,,(15),Here,B=3.0×10–5T,R=10cm=0.1m,w=,,Att=1s,,=,,e,R,,2,,p2a2b2B22,(w),2R,(b)Given,,Lengthofwire,l=30cm,Radiusofwire,r=2mm=2×10–3m,,6.,,(10)GivendI=0.25–0=0.25A,dt=0.025ms,Inducedvoltage,Eind=100v,Self-inductance,L=?,,L(0.25–0),Df,Þ100=,Dt,.025´10-3,–3,ÞL=10H=10mH,(a)Accordingtoquestion,dB=1000–500=500gauss,=500×10–4T,Timedt=5s,Usingfaradaylaw,Using,Eind=,,7.,,InducedEMF,e=–,,df,dB,=A,dt,dt,,dB1000–500,=,´10–4=10–2T/sec,dt,5,,=,,4.,,Resistivityofmetalwire,r=1.23´10-8Wm,dfdB,Emfgenerated,|e|=,=,(A),dt,dt,,(Qf=B.A.),,Area,A=arofX–2arofD=(16×4–2×Areaoftriangle)cm2,,1,æ,ö,=ç64–2´´2´4÷cm2,2,è,ø,=56×10–4m2Page366:P-357,,ElectromagneticInduction,,Magnitudeofchangeinflux(df)=R×areaundercurrent,vstimegraph,11,´´10=250Wb,22,17.Thecoefficientofself,-inductionofthecoilis,[2003],(a)0.2H,(b)0.4H,(c)0.8H,(d)0.1H,,(c),,-,,-,,52.Theratio,P2/P1is______.,[NASep.IftherearencapacitorsinparallelconnectedtoVvolt,source,thentheenergystoredisequalto,[2002],(a)CV,,(b),,1,nCV2(c)CV2,2,,(d),,1,CV2,2n,,107.Atsomelatertime(t0),theswitchS1isopened,andS2isclosed.(d)Whenscrewonascrew-gaugeisgivensixrotations,,itmovesby3mmonthemainscale,3,=0.5mm,6,Pitch0.5mm,=,\LeastcountL.C.=,CSD,50,1,mm=0.01mm=0.001cm,=,100,45.Theratioof,theminimumandthemaximumvelocitiesoffluidinthis,pipeis:,[7Jan.Atoneinstant5itskinetic,energyis3E/4,itsdisplacementatthisinstantis,(a)y=,,®,,andatt=10sasv=+6jˆm/s.Thequalityfactorofthe,circuitis:,[OnlineApril23,2013],averagepower(microwatts),,t,,t,,34.,,S2,,1.0,0.5,0.0,3,,4,5,6,7,frequency(kHz),,(a)5.0,(b)2.0,(c)2.5,(d)0.4,–11,40.Acontainerwithinsulatingwallsisdividedintoequalparts,byapartitionfittedwithavalve.AnelectronbeamisacceleratedbyapotentialdifferenceVto,hitametallictargettoproduceX-rays.Inthegivencircuitdiagram,awireisjoiningpointsBand,D.Alongwirecarryingthe,samecurrentIisplacedparalleltothez-axisandpassing,throughthepoint(0,b,0),(b>>a).Theratioofmaximumand,2,,P,,2.,,3.,,2m,,L,,d,,(c)2m,,(d)3m,,7.,,Twocoherentsourcesproducewavesofdifferentintensities,whichinterfere.Thepoweroutputofthereactoriscloseto:,[Sep.Alistener,locatedatL,,directlyinfrontofS2findsthattheintensityisataminimum,whenheis2mawayfromS2.Achargedparticleentersthespace,ur,betweentheplatesandperpendiculartoE.Ifwecalculateits,rotationalenergybyapplyingBohr'sruleofangular,momentumquantization,itsenergywillbegivenby:(nis,aninteger),[2012],(a),,(c),,(m1+m2)2n2h2,2m12m22r2,2n2h2,(m1+m2)r2,,(b),,(d),,n2h2,2(m1+m2)r2,(m1+m2)n2h2,2m1m2r2,,43.(c)Asthetwocellsopposeeachotherhence,the,effectiveemfinclosedcircuitis15–10=5Vandnet,resistanceis1+0.6=1.6W(becauseintheclosed,circuittheinternalresistanceoftwocellsareinseries.,Currentinthecircuit,,I=,,effectiveemf,5,=,A,totalresistance1.6,,Thepotentialdifferenceacrossvoltmeterwillbesameas,theterminalvoltageofeithercell.,Sincethecurrentisdrawnfromthecellof15V,\V1=E1–Ir1,5,´0.6=13.1V,=15–,1.6,,132.(c)I=çè2÷øcos230°cos260°,,d6´10-5,=,=100,l6´10-7,Totalnumberofminimaononeside=99,Totalnumberofminima=198.,n=,,=,50.Anidealgasenclosedinaverticalcylindricalcontainer,supportsafreelymovingpistonofmassM.Momentofinertiaofabodyaboutagivenaxisis1.5kg,m2.Whichofthefollowingprocessisallowedbymomentumandenergyconservation?,[Sep.(d)ig×G=(i–ig)S,\S=,,ig´G,i-ig,,=,,1´0.81,=0.09W,10-1,,143.(b)Duetoelectricfield,itexperiencesforceand,acceleratesi.e.itsvelocitydecreases.,31.Att=1s,thespeedofthe,secondparticleasmeasuredintheframeofthefirstparticle,,),,fromtheoriginattime2s?,[11Jan.Abodyofmass1kgfallsfreelyfromaheightof100m,on,aplatformofmass3kgwhichismountedonaspring,havingspringconstantk=1.25×106N/m.Whatisthekineticenergyoftheparticleat,x=8m?,[OnlineMay26,2012],,(d),,t,,atomsinadiatomicmoleculeisapproximatelygivenby,a,b,U(x)=12-6,whereaandbareconstantsandxis,x,x,thedistancebetweentheatoms.Avoltmeteris,madeusingthisgalvanometeranda5kWresistance.Theendcorrectionofaresonancecolumnis1cm.Inthecircuit,thegalvanometerGshowszerodeflection.,IfthebatteriesAandBhavenegligibleinternalresistance,,thevalueoftheresistorRwillbe[2005],500W,G,,(c)Statement-Iistrue,Statement-IIisfalse.,(d)Statement-Iisfalse,Statement-IIistrue.,118.Figureshowsacircularareaofradius,,V(t),t,,®,,RwhereauniformmagneticfieldBis,goingintotheplaneofpaperand,increasinginmagnitudeataconstant,rate.,,R,,(A),,(B),,I(t),,I(t),t,,t,,Inthatcase,whichofthefollowinggraphs,drawn,schematically,correctlyshowsthevariationoftheinduced,electricfieldE(r)?,[OnlineApril19,2014],(C),,(D),,I(t),,I(t),,t,,E,,t,,E,,(a),,(b),R,,r,,R,,r,,R,,r,,E,,E,,(c),,(d),R,,r,,20.Theretentivity,co-ercivity,andsaturation,respectively,ofthematerialare:,[7Jan.Thekineticfrictionforceis15Nand,springconstantis10,000N/m.(a)LetI1andI2bethemomentofinertiainfirstandsecond,caserespectively.,,I1=2MR2,,I,MB,,Where,M=magneticmoment,ImomentofinertiaandB=,magneticfield,mR2,Th=2p,(2MB),,Tc=2p,,1/2mR2,MB,,X,Using,T=2p,=2p,,TµI,,T2,,I,mgd,,=0.46,,Clearly,Th=Tc,42.2020I],,(c),4.,,3æa+bö,ç,÷L,2è2a+bø,,Threepointparticlesofmasses1.0kg,1.5kgand2.5kg,areplacedatthreecornersofarightangletriangleof,sides4.0cm,3.0cmand5.0cmasshowninthefigure.,Thecenterofmassofthesystemisatapoint:,[7Jan.05,2020(II)],(a)-bv3(t),,(b)-,,5.,,6.,,bv3,M(t),,2bv3,bv3,(d)M(t),2M(t),Asmallballofmassmisthrownupwardwithvelocityu,fromtheground.Whatisthe,maximumdistanceuptowhichsignalscanbebroadcasted,fromthistowerinLOS(LineofSight)mode?Whenthewaterlevelis,raisedthenextresonancewiththesametuningforkoccursataheightof24.5cm.Auniformwireoflengthlandradiusrhasaresistanceof,r,100W.TodoublethecoveringrangeofaTVtransmittiontower,,itsheightshouldbemultipliedby:,[12Jan2019II],1,(a),(b)2,(c)4,(d)2,2,10.2019II],,(a)adbc,(b)dacb(c)adcb,(d)dabc,25.Itsefficiencyis,[2005],T,,2T0,T0,S0,,2S0,,S,,1,2,1,1,(b),(c),(d),3,2,4,3,Whichofthefollowingstatementsiscorrectforany,thermodynamicsystem?,[2004],(a)Thechangeinentropycanneverbezero,(b)Internalenergyandentropyarestatefunctions,(c)Theinternalenergychangesinallprocesses,(d)Theworkdoneinanadiabaticprocessisalwayszero.,“Heatcannotbyitselfflowfromabodyatlowertemperature,toabodyathighertemperature”isastatementor,consequenceof,[2003],(a)secondlawofthermodynamics,(b)conservationofmomentum,(c)conservationofmass,(d)firstlawofthermodynamics,ACarnotenginetakes3×106calofheatfromareservoirat,627°C,andgivesittoasinkat27°C.(c)Relationbetweendriftvelocityandcurrentis,I=nAeVd,Ie,Ih,Þ,,=,,neeAve,nheAvh,,77ve,=´,45vh,,ve5,=,vh4,41.Then,theirhalf-livesT1(A):T1(B):T1(C)areintheratio:,2,2,2[Sep.Inorderthat,eachdivisionreads1volt,theresistanceinohmsneeded,tobeconnectedinserieswiththecoilwillbe[2005],(a)105,(b)103,(c)9995,(d)99995Page335:P-326,,1.,,Physics,,r,(c)E=300ˆjV/cm=3´104V/m,r,V=6´106iˆ,E,,4.,,\Pitch=(Vcosq),,y,E=300j,z,5.,,r,Bmustbein+zaxis.,r,rr,qE+qV´B=0,,2pm,qB,,2pm,qB,,=(4´105cos60°),,x,,V/cm=3–´104V/m,e,V,V=6´106i$,,2pæ1.67´10-27,ç,0.3çè1.69´10-19,,E3´104,=,=5´10-3T,V6´106,Hence,magneticfieldB=5×10–3Talong+zdirection.,(c)Inuniformmagneticfieldparticlemovesinacircular,path,iftheradiusofthecircularpathis'r',particlewillnot,hitthescreen.,\B=,,(c)Timeperiodofonerevolutionofproton,T=,,\Lengthofregion,l=10´(vcosq)T,Þl=10´vcos60°´,,Þl=,,2pm,qB,,20pmv20´3.14´1.67´10-27´4´105,=,qB,1.6´10-19´0.3,,Þl=0.44m,d,,6.,r=,,mv,qB0,,émv,ù,=qvB0ú,êQ,r,ë,û,,(a),,2,,Hence,minimumvalueofvforwhichtheparticlewillnot,hitthescreen.,qB0d,m,(a)[Given:q=1mC=1´10-6C;,r,V=(2iˆ+3ˆj+4kˆ)m/sand,r,B=(5iˆ+3ˆj-6kˆ)×10–3T],,Asweknow,magneticforceF=qvB=ma,,ræqvBö,\a=ç,èm÷øperpendiculartovelocity..,,v=,,3.,,iˆˆj,r,rr,-6,-3,F=q(V´B)=10´1023,,\Alsov=,,53-6,,=(-30iˆ+32ˆj-9kˆ)´10-9N,r,\F=(-30iˆ+32ˆj-9kˆ),,2KE,2é´106,=,m,m,,\a=,,qvBeB2é´106,=,m,m,m,,\1012,,æ1.6´10–19ö2,.Theenergystoredintheelectricfieldproducedbyametal,sphereis4.5J.Themeasuredvalueshouldberecorded,as,[OnlineMay12,2012],(a)5.3200cm,(b)5.3cm,(c)5.32cm,(d)5.320cm,73.Inthecircuitshowninthefigure,thetotalchargeis750mC,andthevoltageacrosscapacitorC2is20V.Abodyisthrownverticallyupwards.Lengths,ofthecopper,brassandsteelrodsare46,13and12cms,respectively.The,workdone(inkJ)bythegasduringthecycleis,(TakeR=25/3J/mol-K),P,2,,4,3,,4,4,(d)greaterthanv,3,3,Athinconvexlensoffocallength10cmandrefractive,index1.5iscutverticallyintotwoequalpieces.Twopointcharges+8qand–2qarelocatedat,x=0andx=Lrespectively.Thenthe,chargeoncapacitorC2is:,[Sep.Awirefixedattheupperendstretchesbylengthlby,applyingaforceF.Thisphotonstrikesadoublyionizedlithium,atom(z=3)inexcitedstateandcompletelyremovesthe,orbitingelectron.2019II],,GOYGolden,(a)530kW±5%(b),5.3kW±5%,(c)6.4MW±5%(d),64MW±10%,14.Theminimumvalueofvsuchthatitcrossesthe,originis:,[10April2019I],,(c),,10q,;E=0,4pe0R,,(b)V=0;E=,,AchargeQisdistributedovertwoconcentricconducting,thinsphericalshellsradiirandR(R>r).Thebandwidth(Dωm)ofthesignalissuchthatDωm,<ωc.(f1,f2arefocallengths),[12Jan.Acapillarytubemadeofglassofradius0.15mmisdipped,verticallyinabeakerfilledwithmethyleneiodide(surface,tension=0.05Nm–1,density=667kgm–3)whichrisesPage153:P-144,,Physics,,toheighthinthetube.2019II],(a)energyof12.4MeVwillbesupplied,(b)8.3MeVenergywillbereleased,(c)energyof3.6MeVwillbereleased,(d)energyof11.9MeVhastobesupplied,9.Ifthefrequency,ofAis425Hz,theoriginalfrequencyofBis,[OnlineApril16,2018],(a)430Hz(b)428Hz(c)422Hz(d)420Hz,Atoy–car,blowingitshorm,ismovingwithasteadyspeed,of5m/s,awayfromawall.Thetimeconstanttofthiscircuit,liesbetween:,[2012],,(b),,Potentialdifference,Vinvolts,,(a)1,,25,20,15,10,5,0,,50100150,,200,,250,,Timeinseconds,,300,,(a)150secand200sec(b)0secand50sec,(c)50secand100sec,(d)100secand150sec,95.Thede-Brogliewavelength(lB)associatedwiththe,electronorbitinginthesecondexcitedstateofhydrogen,atomisrelatedtothatinthegroundstate(lG)by,[OnlineApril16,2018],(a)lB=lG/3,(b)lB=lG/2,(c)lB=2lG,(d)lB=3lG,23.(d)Q,o,60,,32.IfRis,(c),,x,theradiusofearth,theratioyis:,,[OnlineApril9,2014],,dö,æ,æ2dö,(a)ç1-÷,(b)ç1-÷,R,Rø,è,ø,è,æR-dö,æR+dö,(c)ç,(d)ç,÷,÷,èR+dø,èR-dø,64.Thenumberofphotonsemittedpersecondbythe,transmitterisoftheorderof,[OnlineMay12,2012],(a)1037,(b)1031,(c)1025,(d)1043,38.Andno.IfthechargeonthecapacitorisQ,thentheforceonthedielectricwhenitisneartheedgeis:,[OnlineApril11,2014],,capacitorbyaforceF=-,,(d),1µF,,87.2020(II)],(a)15º,,(b)60º,,(c)–45º,(d)105º,61.3ampereand4amperearethecurrentsflowingineachcoilrespectively.,ThemagneticinductioninWeber/m2atthecentreofthe,,coilswillbe(m0=4p´10-7Wb/A.m),,B,,(d),,),,1,,acurrent,,B,,(c),,(,,(b),,m0æI1+I2ö2,ç,÷,2pèdø,,m0,m0,(d),I2+I222,(I1+I2),2pd,2pd1,65.InanLCRseriesa.c.circuit,thevoltageacrosseachofthe,components,L,CandRis50V.Thecurrentgainofacommonemitteramplifieris69.Atthislocation,,magneticneedleoflength0.12mandpolestrength1.8,Amissuspendedfromitsmid-pointusingathread,it,makes45°anglewithhorizontalinequilibrium.Asampleoriginallycontained1020radioactiveatoms,,whichemita-particles.(b)Forwardbiasresistance=,=,=10W,DI10´10-3,10,Reversebiasresistance=,=107W,-6,10,Forwardbiasresistance,Ratioofresistances=,=10–6,Reversebiasresistance,23.Processd®aand,b®careadiabatic.,,a,,c,a,,(b),,b,,b,c,,d,,V,,V,P,,P,d,,c,,a,,b,,B,V02V0V,,(b),,T,,(c),,P0,,a,,ThecorrespondingP-Vdiagramfortheprocessis(all,figuresareschematicandnotdrawntoscale):,[OnlineApril10,2015],,A,,2P0,,1,R,,d,,V,,(a)25P0V0(b)25P0V0(c)25P0V0(d)5P0V0,8R,4R,16R,8R,29.Statement1:Itisnotpossibletomakeasphereof,capacity1faradusingaconductingmaterial.,Statement2:Itispossibleforearthasitsradiusis,6.4×106m.,[OnlineMay26,2012],(a)Statement1istrue,Statement2istrue,Statement2is,thecorrectexplanationofStatement1.,(b)Statement1isfalse,Statement2istrue.,(c)Statement1istrue,Statement2istrue,Statement2is,notthecorrectexplanationofStatement1.,(d)Statement1istrue,Statement2isfalse.,,97.F1bethemagnetic,uur,solenoidduetotheouteroneandF2bethemagnetic,forceontheoutersolenoidduetotheinnerone.AnucleuswithZ=92emitsthefollowinginasequence:,a,b-,b-a,a,a,a,a,b-,b-,a,b+,b+,a,ThenZoftheresultingnucleusis,[2003],(a)76,(b)78,(c)82,(d)74,60.Thetimeat,whichtheenergyisstoredequallybetweentheelectric,andthemagneticfieldsis:,[2011],,100W,,(a),,VR1R2,R12+R22,,V,att=0andRatt=¥,2,,V(R1+R2),V,att=0and,att=¥,R1R2,R2,VR1R2,V,(c),att=0and,att=¥,R2,R2+R2,,(b),,1,,V,,V,,V,,300V300V,,A,,VR,,220V,100Hz,(a)800V,8A,(c)300V,3A,,(b)110V,1.1A,(d)220V,2.2A,,(d),,2,,V(R1+R2),V,att=0and,att=¥,R1R2,R2,,49.(c)Innpntransistor,electronsmovesfromemittertobase.,69.Immediately,itisputintowaterof,volume150ccat27°Ckeptinacalorimeterofwater,equivalentto0.025kg.Amonochromaticlightisincidentatacertainangleonan,equilateraltriangularprismandsuffersminimumdeviation.,3,,[11Jan.(c)Truthtableofthecircuitisasfollows,xy,00,,xa=x.Itfallsnormallyonametal(workfunctionj=2eV),ofsurfaceareaof1cm2.Aballisthrownfromapointwithaspeed'v0'atan,elevationangleofq.ThreeCarnotenginesoperateinseriesbetweenaheat,sourceatatemperatureT1andaheatsinkattemperature,T4(seefigure).InthefigureshownABCisauniformwire.Herevr,bethevelocityofraindrop.,,u,,=90°+30°=120°,,R=,,w=,,v,,orq=30°,,4u2sinqcosq,then,T1T2=,=2R,g,,u2sin2q,),(QR=,g,Thus,itisproportionaltoR.Aliquiddrophaving6excesselectronsiskeptstationary,underauniformelectricfieldof25.5kVm–1.(c)Copperisaconductorandinconductorresistance,decreaseswithdecreaseintemperature.ConsiderauniformrodofmassM=4mandlengthlpivoted,aboutitscentre.Ifthecubeispushedslightlydownand,released,itperformssimpleharmonicmotionofperiod,‘T’,[2011RS],,(b)f/2,,k2,(c)f/4,,(d)4f,,67.AchargedparticleqisplacedatthecentreOofcubeof,lengthL(ABCDEFGH).IfM=mass,L=length,T=timeandA=,electriccurrent,then:,[2013],–1,–3,2,–1,–3,4,(a)Î0=[MLTA](b)Î0=[MLTA2],(c)Î0=[M1L2T1A2](d)Î0=[M1L2T1A],28.IfN0istheoriginalmassofthesubstanceofhalf-lifeperiod,t1/2=5years,thentheamountofsubstanceleftafter15,yearsis,[2002],(a)N0/8,(b)N0/16(c)N0/2,(d)N0/4Page475:P-466,,1.,,Physics,,(d)Densityofnucleus,r=,,Mass,mA,=,Volume,43,pR,3,,Inuseof1gLienergyreleased=,Inuseof20genergyreleased=,,mA,(QR=R0A1/3),4,1/33,p(R0A),3,Herem=massofanucleon,Þr=,,2.,3.,,[(7.016+1.0079)-2´4.0026]uć2,7.016´1.6´10-24,,´20g,,æ0.0187´1.6´10-19´109,ö,=ç,´20÷=480´1010J,-24,7.016´1.6´10,è,ø,,Þr=2.38´1017kg/m3,,Q1J=2.778×10–7kWh,,(a)Nucleardensityisindependentofatomicnumber.,(c)Letheavynucleusbreaksintotwonucleiofmassm1,andm2andmoveawaywithvelocitiesV1andV2,respectively.,,\Energyreleased=480×1010×2.778×10–7,=1.33×106kWh,(c)Forthemomentumandenergyconservation,mass,defect(Dm)shouldbepositive.03,2020(II)],,(c),,4.,,(a),,b,,x,,4,.2019II],6,5,4,q(µc)3,2,0,6,8,2,4,t(s),Whatisthevalueofcurrentatt=4s?,(a)Zero,(b)3µA,(c)2µA,(d)1.5µA,10.Whichofthefollowing,statementsistrue?,,(b)Velocityoflightforvioletislessthanthevelocityof,lightforred.,(c)Velocityoflightisthesameforallcolours,(d)Velocityoflightfordiffernetcolourshasnothingto,dowiththephenomenonofdispersion,5.,,Anenginehasanefficiencyof1/6.Apieceofwoodfromarecentlycuttreeshows20decays,perminute.IfcorrespondingdeBroglie,wavelengthsarel1andl2,theirdeBrogliewavelengthin,theframeofreferenceattachedtotheircentreofmassis:,[OnlineApril15,2018],(a)lCM=l1=l2,(c),14.,,15.,,lCM=,,2l1l2,l12+l22,,(b),,(d),,1,1,1,=+,l1l1l2,æl+l2ö,

lCM=ç1,÷,è2ø,,IfthedeBrogliewavelengthsassociatedwithaprotonand,ana-particleareequal,thentheratioofvelocitiesofthe,protonandthea-particlewillbe:[OnlineApril15,2018],(a)1:4,(b)1:2,(c)4:1,(d)2:1,AparticleAofmassmandinitialvelocityvcollideswith,m,whichisatrest.Thespeedoftheparticle,attime‘t’isgivenby,[2003],(a)3ta2+b2,,(b)3t2a2+b2,,(c)t2a2+b2,,(d),,a2+b2,,TOPIC3ProjectileMotion,21.Howmuchtimeitwilltake,afterthebreak,upwiththeotherparttohittheground?,[OnlineMay12,2012],v0,(c)2mx,0,,3m,u,(a),,86.Theradiationcorrespondingto3®2transitionof,hydrogenatomfallsonametalsurfacetoproduce,photoelectrons.ThevalueofDis:,[9Jan.(a)Amplitudemodulatedwaveconsistsofthree,frequenciesarewc+wm,w,wc–wm,i.e.2005kHz,2000kHz,1995kHz,26.Thekineticenergyoftheballatthe,highestpointofitsflightwillbe,[2002],(a)E,,(b)E/2,,(c)E/2,,(d)zero,,TOPIC3Power,50.Theresultingstraininthewireis,4.9×10–4.Anaudiosignalconsistsoftwodistinctsounds:onea,humanspeechsignalinthefrequencybandof200Hzto,2700Hz,whiletheotherisahighfrequencymusicsignal,inthefrequencybandof10200Hzto15200Hz.Theratioof,theAMsignalbandwidthrequiredtosendboththesignals,togethertotheAMsignalbandwidthrequriedtosend,justthehumanspeechis:,[OnlineApril9,2016],(a)2,(b)5,(c)6,(d)3,25.Aperfectlydiamagneticspherehasasmallsphericalcavity,atitscentre,whichisfilledwithaparamagneticsubstance.,r,ThewholesystemisplacedinauniformmagneticfieldB.,Thenthefieldinsidetheparamagneticsubstanceis:,[Sep.Asteelrailoflength5mandareaofcross-section40,cm2ispreventedfromexpandingalongitslengthwhile,thetemperaturerisesby10°C.Initiallyboth,substanceshavethesamenumberofatoms,then:,[OnlineApril22,2013],(a)AandBdecayatthesameratealways.,(b)AandBdecayatthesamerateinitially.,(c)AwilldecayatafasterratethanB.,(d)BwilldecayatafasterratethanA.,(c)ln2s,,Physics,,47.Theoutputpowerisdeliveredat230,Vbythetransformer.Momentofinertiaofcube,aboutanaxispassingthroughitscenterandperpendicular,tooneofitsfacesis:,[2015],4MR2,4MR2,(a),(b),93p,33p,2,MR,MR2,(c),(d),322p,162p,112.(c)L.C.ofverniercallipers=1MSD–1VSD,,9ö,æ,=ç1-÷´1=0.1mm=0.01cm,10,è,ø,Here7thdivisionofvernierscalecoincideswithadivision,ofmainscaleandthezeroofvernierscaleislyingright,sideofthezeroofmainscale.,Zeroerror=7×0.1=0.7mm=0.07cm.,Lengthofthecylinder=measuredvalue–zeroerror,=(3.1+4×0.01)–0.07=3.07cm.,44.Whenreleased,frominitialhorizontalposition,itsinstantaneousangular,accelerationwillbe:,[10Jan.p=0)isparallelto:,[9Jan.DV=(+)Ve,30.Acombinationofparallelplatecapacitorsismaintainedat,acertainpotentialdifference.,,C1,A,,D,,Whena3mmthickslabisintroducedbetweenallthe,plates,inordertomaintainthesamepotentialdifference,,thedistancebetweentheplatesisincreasedby2.4mm.,Findthedielectricconstantoftheslab.,[OnlineApril9,2017],(a)3,(b)4,(c)5,(d)6,80.Thetimetakentoreach,thesupportsis:,[2016],(takeg=10ms–2),(a)22s(b)2s,(d)2s,(c)2p2s,37.(Takevelocityof,soundinair350m/s),[10April2019II],(a)750Hz(b)857Hz(c)1143Hz(d)807Hz,TwocarsAandBaremovingawayfromeachotherin,oppositedirections.Then:,(a)F1<F2=F3>F4,(b)F1>F2>F3>F4,(c)F1=F2=F3=F4,(d)F1>F3;F2<F4,63.Alightrayisincidentatthe,3,mid-pointofoneendoftherodasshowninthefigure.,,(d),,q,,45°Incidentray,,Theincidentangleqforwhichthelightraygrazesalong,thewalloftherodis:,[2009],æ,ö,2,1,-1,3/2,÷,(b)sinç,(a)sin,è3ø,,(,,),,æ1ö,sin-1ç,÷,(d)sin-1(1/2),è3ø,Afishlookingupthroughthewaterseestheoutsideworld,,(c),,30.,5,2,,26.,,27.,,28.,,3,3,(a)(2+1)(b),(c),(d),2,2,2,Lightisincidentfromamediumintoairattwopossible,anglesofincidence(A)20°and(B)40°.Itsangularmomentum,,withrespecttotheorigin,attimet=2is:,[10Apr.Thenthemagnitudesoftheforces,are,[2002],(a)12N,6N,(b)13N,5N,(c)10N,8N,(d)16N,2N.,35.(c)Pressure,P=,3V,(mN)T,or,P=,V,Ifthegasmassandtemperatureareconstantthen,Pµ(Vrms)2µT,So,forceµ(Vrms)2µT,i.e.,Valueofq=1,17.Page10:1,,P-1,,PhysicalWorld,UnitsandMeasurements,,PhysicalWorld,Units,andMeasurements,6.,,TOPIC1UnitofPhysicalQuantities,1.,,2.,,ThedensityofamaterialinSIunitis128kgm–3.2019II],,v1~,,VBB,,(b)100mA,(d)10mA,,VCC,,IE,,~v0,,Inthefigure,giventhatVBBsupplycanvaryfrom0to5.0,V,VCC=5V,bdc=200,RB=100kW,RC=1KWand,VBE=1.0V.Ifx,vandadenotethedisplacement,thevelocityand,theaccelerationofaparticleexecutingsimpleharmonic,motionoftimeperiodT,then,whichofthefollowing,doesnotchangewithtime?,[2009],(a)aT/x,(b)aT+2pv,(c)aT/v,(d)a2T2+4p2v2,,(a)2f,,(d)0.5m,,Awoodencube(densityofwood‘d’)ofside‘l’floatsina,liquidofdensity‘r’withitsupperandlowersurfaces,horizontal.2020I],,mg2t2,8,,(b),,mg2t2,8,,3mg2t2,8,Abodyofmassstartsmovingfromrestalongx-axisso,thatitsvelocityvariesasv=aswhereaisaconstants,andisthedistancecoveredbythebody.Then,[2008],(a)18>x,(b)x>54,(c)54>x>36,(d)36>x>18,Astringisstretchedbetweenfixedpointsseparatedby,75.0cm.2020II],,87.Thechargeontherightplate,ofthe6mFcapacitoris:,[11Jan.The,timeperiodofthependulumisgivenby:,[10April2019,II],,L,2p,qEö,æ,(a),çg+,÷,mø,è,2p,,(c),,L,qEö,æ,çg÷,mø,è,,2p,,(b),,(d),,1,,R,,(b)Eµ,,R,(c)R,(d),R2,5,2,30.Aphotonofwavelengthlisscatteredfromanelectron,,whichwasatrest.The,displacementoftheconnectorisrepresentedbythefigure.,[OnlineMay19,2012],(c),,B,L,,x-axisPage362:P-353,,(b),,Time,,Displacement,,(a),,Displacement,,ElectromagneticInduction,,RW,,Time,,Displacement,,Displacement,,(d),,m0NI,inthemiddleofthe,L,solenoidbutbecomeslessaswemovetowardsitsends.,[OnlineMay19,2012],(a)Statement1istrue,Statement2isfalse.,(b)Statement1istrue,Statement2istrue,Statement2is,thecorrectexplanationofStatement1.,(c)Statement1isfalse,Statement2istrue.,(d)Statement1istrue,Statement2istrue,Statement2is,notthecorrectexplanationofStatement1.,43.Itsopticalpowerinaliquidmediumwith,refractiveindex1.6willbe,[2005],(a)–1D,(b)1D,(c)–25D(d)25D,70.Ifitisconnectedtoa220V(rms),50HzAC,supply,theseriesinductorneededforittoworkiscloseto:,[2016],(a)0.044H,(b)0.065H,(c)80H,(d)0.08H,AseriesLRcircuitisconnectedtoavoltagesourcewith,V(t)=V0sinwt.Agaseousmixtureconsistsof16gofheliumand16gof,,(b)4T,(d)8T,,Cp,Cv,,ofthemixtureis,,[2005],,(a)1.62,(b)1.59,(c)1.54,(d)1.4,62.Thevalueofxis______.,,(,,[NA7Jan.PlanetAhasmassMandradiusR.The,efficiencyofthiscycleisnearly:(Assumethegastobe,closetoidealgas),[2012],B,,2P0,,(a)15.4%,(b)9.1%,,P0,,PoToR,(a),Po-a,,PoToR,(b),Po+a,,(c)PoToRIn2,(d)PoToR,39.Iftheterminalspeedofasphereofgold(density,=19.5kg/m3)is0.2m/sinaviscousliquid(density=1.5,kg/m3),findtheterminalspeedofasphereofsilver,(density=10.5kg/m3)ofthesamesizeinthesameliquid,[2006],(a)0.4m/s,(b)0.133m/s,(c)0.1m/s,(d)0.2m/s,51.UnpolarizedlightofintensityIpassesthroughanideal,polarizerA.Oneofthemis,blowingawhistleoffrequency540Hz.CalculatethePage234:P-225,,Waves,,frequencyheardbydriverofsecondenginebeforethey,passeachother.(a)Asweknow,Magneticflux,f=B.Amagneticneedlelyingparalleltoamagneticfieldrequiers,(a)23s,,(b),,Wunitsofworktoturnitthrough600.Athirdspherical,conductorhavingsameradiusasthatBbutunchargedis,broughtincontactwithB,thenbroughtincontactwithC,andfinallyremovedawayfromboth.Twoconcentriccoilseachofradiusequalto2pcmare,placedatrightanglestoeachother.Itleavesthe,earthatEandmeetsMarsatM.The,fastestemittedelectronhasspeedv.Themassoftheparticleis,closeto:,[Sep.Twonegative,chargesofthesamemagnitudearekeptattheothercorners.,Startingfromrest,ifachargeQmovesfromthemiddleof,side1tothecentreofsquare,itskineticenergyatthe,centreofsquareis,[2011RS],(a)zero,(c),,12qQæ,2ö,1÷,4pe0açè,5ø,,(b),,12qQæ,1ö,1+,÷,4pe0açè,5ø,,(d),,12qQæ,1ö,1÷,4pe0açè,5ø,,43.Theblockofmassmisinitiallyatrest.(a),82.Whatisthevalueoftheresistancewhichcanconvert,thisgalvanometerintoavoltmetergivingfullscale,deflectionforapotentialdifferenceof10V?,[8Jan2019,II],(a)10kW,(b)8.9kW,(c)7.9kW,(d)9.9kW,109.Page200:P-191,,KineticTheory,,58.,,Figureshowsthevariationintemperature(DT)withthe,amountofheatsupplied(Q)inanisobaricprocess,correspondingtoamonoatomic(M),diatomic(D)anda,polyatomic(P)gas.AsmallballofmassmstartsatapointAwithspeedvo,andmovesalongafrictionlesstrackABasshown.So,theywillnotcentributeinflux.,OnlysideADiscuttingtheflux50emfwillbeinduceddue,toADonly.,Theinducedemfis,e=-,,Physics,,rr,-df,d(B×A)-d(BAcos0º),e=,==,dt,dt,dt,×,,×,,×,,×,,×,,×,,×,,×,,×,,×l,,×,,×,,×,,×,,×,,A,,D,,×,,×,,C,,×,,dA,d(l´x),=-B,dt,dt,dx,\e=-Bl=-Blv,dt,,\e=–B,,V,,×,X,,×,,BPage370:21,AlternatingCurrent,AlternatingCurrent,,TOPIC1,VoltageandPower,1.,,2.,,Analternatingvoltagev(t)=220sin100Àtvoltisapplied,toapurelyresistiveloadof50W.Inthecircuitbelow,AandBrepresenttwoinputsandC,representstheoutput.,[2008],A,C,,X,B,,Y,,(d)NANDgate,Thelogiccircuitshownbelowhastheinputwaveforms,‘A’and‘B’asshown.ThecyclecanberepresentedonaP-Vindicator,diagramas:,[OnlineApril22,2013],P,,(a),,A,,B,,C,,B,,P,,D,,B,,A,,A,,),,(,,B,,C,,(d),A,,(b),,),,D,,V,V,,40.A27mWlaserbeamhasacross-sectionalareaof10mm2.,Themagnitudeofthemaximumelectricfieldinthis,electromagneticwaveisgivenby:,[GivenpermittivityofspaceÎ0=9×10–12SIunits,Speed,oflightc=3×108m/s],[11Jan2019,II],(a)2kV/m,(c)0.7kV/m,(b)1kV/m,(d)1.4kV/m,25.Anidealcapacitorofcapacitance0.2mFischargedtoa,potentialdifferenceof10V.The,graphicalrepresentationofthemagnitudeoflinear,magnification(m)versusdistanceoftheobjectfromthe,mirror(x)iscorrectlygivenby,(Graphsaredrawnschematicallyandarenottoscale),[8Jan.So,,Bandgap,Eg=,,hc,l,,æ6.63´10-34´3´108ö,1,eV,÷´,-9,-19,÷,2480´10,è,ø1.6´10,,=çç,,=0.5eV,44.Thetoasterisconnectedtoavoltagesourceat200,Vanditstemperatureisraisedataconstantratefrom300,to500Kin30s.Assumingspringtobemade,ofauniformwire,thekineticenergypossessedbyitifits,freeendispulledwithuniformvelocityvis:,[OnlineApril12,2014],1,mv2(b)mv2,2,,1,,38.(a)Laminatedcoreprovidelessareaofcross-sectionfor,thecurrenttoflow.Fourpointcharges–q,+q,+qand–qareplacedony-axis,aty=–2d,y=–d,y=+dandy=+2d,respectively.2020(I)],,Themassdensityofasphericalgalaxyvariesas,,(a),,T2µR(b)T2µR3(c),,T2µ,,1,R3,,(d)TµR,,51.(c)Given:VP=2300V,Vs=230V,IP=5A,n=90%=0.9,,230Ís,2300´5,,Ps,ÞPs=0.9Pp,PP,,VsIs=0.9×VPIP(QP=VI),Is=,,0.9´2300´5,=45A,230,,66.Thepotentialdifferencebetweenthetwo,facesofthecubeperpendiculartothex-axis,is:,[10Jan.Itisdesiredtomakethe,blockmovebyapplyingminimumamountofforce.Themaximumangularspeed(inrads–1)with,whichitcanberotatedaboutitsotherendinspacestationis,(Breakingstressofwire=4.8×107Nm–2andareaofcrosssectionofthewire=10–2cm2)is_______.,[9Jan2020I],AuniformcylindricalrodoflengthLandradiusr,ismade,fromamaterialwhoseYoung’smodulusofElasticity,equalsY.AthindiscofmassMandradiusRhasmassperunitarea,s(r)=kr2whereristhedistancefromitscentre.Thelatent,heatoficeis336×103Jkg–1.Choosethecorrectsketchofthemagneticfieldlinesofa,circularcurrentloopshownbythedoteandthecross,[OnlineApril22,2013],Ä.,,(a),,(b),,(c),,(d),,57.Asthegasundergoesanadiabaticexpansion,,theaveragetimeofcollisionbetweenmoleculesincreases,asVq,whereVisthevolumeofthegas.Thede-Brogliewavelengthsareleandlpforelectrons,le,isgivenby:,lp,(givenmeismassofelectronandmpismassofproton).,,andprotonsrespectively.Aforceof3Nisappliedontheblock.,Thecoefficientofstaticfrictionbetweentheplaneand,theblockis0.6.Whatshouldbetheminimumvalueof,forceP,suchthattheblockdoesnotmovedownward?,(takeg=10ms–2),[9Jan.Abeamofplanepolarisedlightoflargecross-sectional,areaanduniformintensityof3.3Wm–2fallsnormallyona,polariser(crosssectionalarea3×10–4m2)whichrotates,aboutitsaxiswithanangularspeedof31.4rad/s.The,openendofthetubeisthenclosedandsealedandthetube,israisedverticallyupbyadditional46cm.Anotherstraightthinwirewithsteady,currentI1flowingoutoftheplaneofthepaperiskeptatthe,origin.,[2009],B,a,I1,,A,30°,,O,,I,,D,b,,91.,,C,,Themagnitudeofthemagneticfield(B)duetotheloop,ABCDattheorigin(O)is:,(a),,moI(b-a),24ab,,-,,Galvanometerandits,TOPIC4ConversionintoAmmeterand,Voltmeter,96.2020II],(a),,m,.Nowtheloadisfullyimmersedinaliquidofrelative,density2.(a)Itisgiventhat315Hzand420Hzaretworesonant,frequencies,letthesebenthand(n+1)thharmonies,then,wehavenv=315,2l,v,=420,and(n+1),2l,n+1420,Þ,=,n,315,Þn=3,v,v,=105Hz,Hence3´,=315Þ,2,l,2l,Thelowestresonantfrequencyiswhen,n=1,Thereforelowestresonantfrequency,=105Hz.,48.Ifthewavelengthis,changedto,willbe:,,3l,,thespeedofthefastestemittedelectron,4,[2016],1,,(a),,æ4ö2,=vç÷,è3ø,,(c),,æ4ö2,>vç÷,è3ø,,1,,(b),,æ3ö2,=vç÷,è4ø,,(d),,æ4ö2,<vç÷,è3ø,,1,,1Page446:P-437,,DualNatureofRadiationandMatter,,46.,,Aphotoelectricsurfaceisilluminatedsuccessivelyby,l,.Theywillbeagaininphaseafterthe,shorterpendulumhascompletednumberofoscillations,equalto:,[OnlineApril9,2013],(a)2,(b)7,(c)5,(d)3,,(a),,2p,,66.(c)Modulatedcarrierwavecontainsfrequencywcand,wc±wm,20.Thelengthofpendulumismeasuredbyusinga,meterscaleofleastcount1mmandthevalueobtainedis,55.0cm.Thesurfacechargedensityofathinchargeddiscofradius,Riss.Iftheshellnow,V,3èVø,undergoesanadiabaticexpansiontherelationbetweenT,andRis:,[2015],,Tµ,,1,,(c)Tµe–R(d)Tµe–3R,R3,34.ThefigureshowsasquareloopLofside5cmwhichis,connectedtoanetworkofresistances.Thekineticenergyneededtoprojectabodyofmassmfrom,theearthsurface(radiusR)toinfinityis,[2002],(a)mgR/2(b)2mgR(c)mgR,(d)mgR/4.,72.Theamountofworkrequiredto,coolthevesselis,[2011RS],(a)greaterthan0.148kJ,(b)between0.148kJand0.028kJ,(c)lessthan0.028kJ,(d)equalto0.002kJPage168:P-159,,ThermalPropertiesofMatter,,45.(d)InitiallyGeandSiarebothforwardbiasedsocurrentwill,effectivilypassthroughGediode\V°=12–0.3=11.7V,Andif"Ge"isrevesedthencurrentwillflowthrough"Si",diode,\V°=12–0.7=11.3V,Clearly,V°changesby11.7–11.3=0.4V,,P.D.across800Wresistors=5.6V,5.6,A=7mA,800,Now,P.D.across200Wresistors=9–5.6V=3.4V,,so,I800W=,,9-5.6,=17mA,200,so,currentthroughzenerdiode=I2=17–7=10mA,,so,I200W=,,19.(c)Asweknow,thevelocityoflightinfreespaceis,givenby,,c=,,1,1,\,=e2=Z12T2,m0e0,moeo,,1,2,2,moeo=C[m/s],,=[LT–1]2,=[M0L2T–2],36.[2010],A,,L,,B,,(a),,mv2,2(L-nr),,(b),,mv2,L-2nr,,mv2,(d)zero,L-nr,Abodyofmass5kgundertheactionofconstantforce,r,r,F=Fxî+Fyˆjhasvelocityatt=0sasv=6iˆ-2ˆjm/s,,(c),9.,,(,,),,r,r,andatt=10sasv=+6ˆjm/s.AninsectisatrestataPage93:P-84,,Physics,,pointneartherimofthedisc.IfthetemperatureofthesunweretoincreasefromTto,2TanditsradiusfromRto2R,thentheratiooftheradiant,energyreceivedonearthtowhatitwaspreviouslywill,be,[2004],(a)32,(b)16,(c)4,(d)64,51.Theratiooftheintensityoflightat,8,thatpointtothatatthecentreofabrightfringeis:,[8Jan2020II],(a)0.853,(b)0.672(c)0.568,(d)0.760,InaYoung’sdoubleslitexperiment,theseparation,betweentheslitsis0.15mm.Considerthefollowingtwostatements:,[2003],A.Theradiusofthedropletis(takenotethatthesurface,tensionappliesanupwardforceonthedroplet):,[9Jan.Ifthesame,lensisinsteadsilveredonthecurvedsurfaceand,illuminatedfromothersideasinFig.Aconcavemirrorhasradiusofcurvatureof40cm.Atwhat,distancefromthespeakerwillonedetect120dBintensity,sound?2020II],(b)1.15,,(c)1.46,(d)0.84,25.2020(II)],,1,32,10.Ameteoriteofthesamemass,falling,towardstheearthcollideswiththesatellitecompletelyin,elastically.Astraightlinepassing,throughtheoriginandmakinganangleof45°withthexaxismeetstheexperimentalcurveatP.Whatistheangularmomentumoftheparticle,aboutP?,[2002],C,L,,q,,P,,x,,(a),,-mgn0t2cosqˆj,,1,(c)-mgn0t2cosqkˆ,2,,(b),,mgn0tcosqkˆ,,(d),,1,mgn0t2cosqiˆ,2,,whereiˆ,ˆjandk̂areunitvectorsalongx,yandz-axis,respectively.,66.2020II]Page459:P-450,,Physics,,10.Thevalueofhfor,whichE1andE2areequal,is:,[9Jan.Nozenerisinbreakdown,regionsoV0=Vi.ThennowwhenVichangesbetween4V,to6Vonezenerwith4VwillbreakdownandP.D.across,thiszenerwillbecomeconstantandremainingpotential,willdorpacrossresistanceinserieswith4Vzener.,Nowcurrentincircuitincreasesabruptlyandsourcemust,haveaninternalresistanceduetowhichsomepotential,willgetdropacrossthesourcealsosocorrectgraph,betweenV0andtwillbe,V0,6V,,\BandgapEg=,,(12)Righthanddiodeisreversedbiasedandlefthand,diodeisforwardbiased.,HenceVoltageat‘A’,VA=12.7–0.7=12volt,,7.,,(c)Boththediodesarereversebiased,so,thereisno,flowofcurrentthrough5Wand20Wresistances.,Now,tworesistorsof10Wandtworesistorsof5Warein,series.,HencecurrentIthroughthenetwork=0.3A,,8.,,(c)IncaseIdiodeisreversebiased,sonocurrentflows,\QA=CV,IncaseII,currentwillflowasdiodeisforwardbiased.Therodismountedbetweentworigid,supports(seefigure).Theradiusofcurvatureofthemirrorwouldthenbe:,[OnlineApril10,2015],(a),,15cm,,(d),,1,m/s,10,,refractiveindex2.Thediameterof,thewireis,[2008],(a)3.32mm,(b)3.73mm,(c)3.67mm,(d)3.38mmPage19:P-10,,Physics,,32.Theforcebetween,thedipolesis:,[OnlineApril9,2013],14p1p2,13p1p2,(a),(b),4pe0x4,4pe0x3,18p1p2,16p1p2,(c),(d),4pe0x4,4pe0x4,66.03,2020(II)],(a),,3Q1,16pe0R,,(b),,3Q2,4pe0R,,(c),,Q2,4pe0R,,(d),,3Q1,4pe0R,,6.,,1/2,,(a),,2æ4q2ö,ç,÷,mè154pe0aø,,1/2,,7.,,1/2,,(b),,2æ1q2ö,ç,÷,mè54pe0aø,,1/2,,2æ2q2ö,2æ1q2ö,(c),(d),ç,÷,ç,÷,mè154pe0aø,mè154pe0aø,Asolidconductingsphere,havingachargeQ,is,surroundedbyanunchargedconductinghollowspherical,shell.AwireofresistanceRisbenttoformasquareABCDas,showninthefigure.Therateatwhich,waterflowsthroughthetubeis(g=10ms–2),[OnlineApril19,2014],,5cm,,(a)DependsonH,(b)1:1,(c)2:2,(d)1:2,36.Achargeqisspreaduniformlyoveraninsulatedloopof,radiusr.AcitvitiesofthreeradioactivesubstancesA,BandCare,representedbythecurvesA,BandC,inthefigure.(1Ci=3.7×1010decaypersecondandatt,=10hrse–lt=0.84),[OnlineApril15,2018],(a)6litres(b)7litres(c)4litres(d)5litres,(a)4ln2,,(b)Page473:P-464,,40.,,AradioactivenucleusAwithahalflifeT,decaysintoa,nucleusB.When,parachuteopens,itdeceleratesat2m/s2.Givenfigureshowsfewdatapointsinaphotoelectric,effectexperimentforacertainmetal.Themagnifyingpowerofatelescopewithtubelength60,cmis5.Ifthelengthishalvedandtheradiusofthewireis,doubled,therateofheatdevelopedinthewirewillbe:,[OnlineApril15,2018],(a)Increased8times,(b)Doubled,(c)Halved,(d)Unchanged,89.Atthesametimeanotherparticleofthesame,massisthrownverticallyupwardsfromthegroundwitha,,energyofBaftercollisioniswrittenas,,speedof,,2gh.2020II],C1,,C2,,C3,,T,,1l,,2l,,—,,60°C,,–,,1l,,2l,,30°C,,2l,,—,,1l,,60°C,,1l,,1l,,1l,,q,,Thevalueofq(in°Ctothenearestinteger)is______.,20.TwocoherentpointsourcesS1andS2areseparatedbya,smalldistance'd'asshown.Theycantravelinvacuum.Thespeedofsoundis340m/s.IfR1=400W,R3=100WandR4=500W,andthereadingofanidealvoltmeteracrossR4is5V,,thenthevalueofR2willbe:,[9Jan.2020(II)],(a)3280J,(b)2780J,(c)5690J,(d)5250J,,C,,1,3,J,(c)1J,(d),J,2,2,Ablockofmassmiskeptonaplatformwhichstarts,fromrestwithconstantaccelerationg/2upward,as,showninfig.Thepistonisslightlydisplaced,fromtheequilibriumpositionandreleased.Thenthemomentofinertiaofthering,aboutz-axisis–,y,,x,,P,,M,a,,a,x(b),,(a),,a,(c),,x,,a,x(d),,(a)MR2,x,9.,,7.,,R,q,,Choosethewrongstatementregardingtheexperimentto,identifyadiode,anLED,aresistorandacapacitor,(a)whenpointermovesinonewaywhenvoltageis,appliedanddoesn'tmovewhenreversedandthereis,lightemission,theitemisLED,(b)whenpointermovesinonewaywhenvoltageis,appliedanddoesn'tmovewhenreversedandthereis,noemissionoflight,theitemisadiode,(c)whenpointermovesinonewaywhenvoltageis,appliedandnotwhenreversed,theitemisaresistor,(d)noneofthese,,10.,,(b),,x,,1M,1M,1,R(d),R,MR2(c),2,l,p,l0,2,0,,Whathappenswhenwedonotstirthemixture,continuouslyintheexperimenttodeterminethespecific,heatcapacityofagivensolid?,(a)Temperatueofmixtureisincreased,(b)Temperatureofmixtureisnotconstant,(c)Temperatureofmixtureisconstant,(d)Noneofthese,AnidealmonatomicgaswithpressureP,volumeVand,temperatureTisexpandedisothermallytoavolume2V,andafinalpressurePi.Ifthesamegasisexpanded,adiabaticallytoavolume2V,thefinalpressureisPa.The,,P,ratioais,Pi,(a)2–1/3,,(b)21/3,,(c)22/3,,(d)2–2/3Page520:MockTest-2,11.,,12.,,MT-11,,InaYoung’sdoubleslitexperimentwithlightofwavelength,l,fringepatternonthescreenhasfringewidthb.The,,(,,),,x,J.(c)Theequationofwaveatanytimeisobtainedby,puttingX=x–vt,1,1,y=,...(i),2=1+(x-vt)2,1+x,Weknowatt=2sec,,1,...(ii),y=,1+(x-1)2,Oncomparing(i)and(ii)weget,vt=1,1,V=,t,Ast=2sec,1,\V=,=0.5m/s.,2,11.2019(II)],(a)3.0mm(b)4.0mm(c)5.0mm,(d)ZeroPage149:P-140,,Physics,,11.Thespring,constantis500N/m.(d)Thefinalbooleanexpression,,BooleanexpressionforNORgateis,Y=A+B,93.Thetimeperiodofitsoscillationinavibration,magnetometeris2s.Thepositionandsizeofthe,finalimagewillbe:,[8April2019I],(a)20cmfromtheconvergentmirror,samesizeastheobject,(b)40cmfromtheconvergentmirror,samesizeastheobject,(c)40cmfromtheconvergentlens,twicethesizeofthe,object,(d)20cmfromtheconvergentmirror,twicethesizeofthe,object,44.Theself-inductance,ofthecoilis:,[OnlineApril10,2015],(a)6H,(b)0.67H,(c)3H,(d)1.67H,19.IfhalflifeofC14is5730years,then,ageofthewoodenpieceplacedinthemuseumis,approximately:,[OnlineApril19,2014],(a)10439years,(b)13094years,(c)19039years,(d)39049years,44.Ifthereisamagneticfield,ur,B=B0k$,theminimumvalueofvforwhichtheparticle,willnothitthescreenis:,[Sep.Whentheshaftrotates,atangularspeedwtherodmakesanangleqwithit(see,figure).Thedimensionsofbis:[11Jan.Theangle,8,betweenpolarizerAandCis:,[2018],(a)0°,(b)30°,(c)45°,(d)60°,60.InthefollowingfigureifGediode,connectionarereversed,thevalueofVochangesby:,(assumethattheGediodehaslargebreakdownvoltage),[9Jan.ElectronsacceleratedbypotentialVarediffractedfroma,crystal.Itstrikesanothermassof1.00,kgandthentheymovetogetherasasinglebody.Thedatasetis90s,91s,95,s,and92s.2019I],(a)90Wm–2,(b)120Wm–2,(c)65Wm–2,(d)200Wm–2,29.Thecurrentinthiswireis:,[9Jan.Themagneticmomentofthemagnetin,,thatsinq=,,Am2iscloseto:(Given,,=Horizontalcomponentofearth’smagneticfield=3.6,×10–5tesla),[OnlineApril11,2015],(a)14.6,(b)19.4,(c)9.7,(d)4.9,27.Then|Df|isequalto(inweber),[OnlineMay12,2012],i(A),,4,,0.1,,t(s),,(a)6,(b)4,(c)2,(d)8,25.Batteryhasnegligibleinternal,resistance.Itisstillused,inthelaboratorytodeterminevelocityofsoundinair.(c)Truthtableforgivenlogicalcircuit,,85.Achargeqisplacedateachoftheothertwo,corners.Theenergies,,lostbytheball,overtheparts,PQandQR,ofthetrack,,areequaltoeachother,andnoenergyislostwhenparticle,changesdirectionfromPQtoQR.,Thevalueofthecoefficientoffrictionmandthedistance,x(=QR),are,respectivelycloseto:,[2016],h=2m,30°,Horizontal,Surface,,R,Q,,(a)0.29and3.5m,(b)0.29and6.5m,(c)0.2and6.5m,(d)0.2and3.5m,29.Chargethatwillflowfrom,switchSwhenitisclosedis:[OnlineApril11,2015],,2mFa,,¶U,whereUistheenergyof,¶x,thecapacitorwhendielectricisinsidethecapacitorupto,distancex(Seefigure).Dimensionoffisthatof:,[9Jan.IftheradiusofthecylindricalsurfaceisR,andsurfacetensionofwaterisTthenthepressureinwater,betweentheplatesislowerby:[OnlineApril10,2015],Cylindricalsurface,ofwater,,2T,4T,T,T,(a),(b),(c),(d),R,R,4R,R,59.IntheformulaX=5YZ2,XandZhavedimensionsof,capacitanceandmagneticfield,respectively.Thegivendiagramshowsfourprocessesi.e.,isochoric,,isobaric,isothermalandadiabatic.Let[Î0]denotethedimensionalformulaofthepermittivity,ofvacuum.(i),Resistanceat100°C,R100=R0(1+100a)...Itisfallingwithaspeedof5.0ms–1,atright,anglestothehorizontalcomponentoftheearth’smagnetic,field,of0.3×10–4Wb/m2.Page383:P-374,,40.,41.,42.,43.,44.,,Physics,,(d),(c)Frequencyf=,,1,2pLC,,=,,V=V0e,,1,2´3.424´2´10-6,,;23Hz,(c)VoltageEoftheacsource,E=VC–VL=400V–300V=100V,(a)t=3RCln2,(d)IncaseofseriesRLCcircuit,,Equationofvoltageisgivenby,,48.,,2,,\VR=V2=220V,,45.,,V220,=,=2.2A,R100,,(a)Energystoredinmagneticfield=,,12,Li,2,,49.,,1q2,Energystoredinelectricfield=,2C,,Energywillbeequalwhen,\,,121q2,Li=,2,2C,,tanwt=1,q=q0coswt,1,(qcoswt)2,ÞL(wq0sinwt)2=0,2,2C,p,1,Þw=,Þwt=,4,LC,Þt=,46.,,....(2),,tanf=,,1,wCR,,Þ,,(b)Wehave,V=V0(1–e–t/RC),,æ1,ö,Z=R2+ç,-wL÷,w,C,è,ø,,200–120,80,=,200,200,t=loge(2.5),,e–t/r=,,Þt=RCin(2.5),,[Qr=RC],,=,,=Vrms×,,=,,...(1),,Inseriesgrouping,equivalentcapacitance=,,æ200200ö,(200)2+ç,÷=200W,3ø,è3,,Powerdissipatedinthecircuit=VrmsIrmscosf,,),,V,V=V0,=0,2,Insecondcase:,,2,,2,,ÞR=2.71×106W,(c)Timeconstantforparallelcombination,=2RC,RC,Timeconstantforseriescombination=,2,Infirstcase:,t,–,t,V0,–,CR,=V0–V0e,V=V0,Þ,1–eCR,2,t,-1,RC,2,e,,V0,2,,1,200,1,=,=Rtanf=200´,3,3,wC,Impedanceofthecircuit,,,p,LC,4,,(,,=,,t10,Þt2=1==2.5sec.,44,(c)Att=0,nocurrentwillflowthroughLandR1as,inductorwillofferinfiniteresistance.,V,\Currentthroughbattery,i=,R2,Att=¥,inductorbehaveasconductingwire,RR,Effectiveresistance,Reff=12,R1+R2,V,V(R1+R2),\Currentthroughbattery=R=,R1R2,eff,(d)Whenonlythecapacitanceisremovedphase,differencebetweencurrentandvoltageis,XL,tanf=,R,wL,Þtanf=,R,1,200,=,ÞwL=Rtanf=200´,3,3,Whenonlyinductorisremoved,phasedifferencebetween,currentandvoltageis,,\,,Þ120=200(1–e–t/RC),,47.,,t2,(RC/2),,From(1)and(2),t1,t2,=,2RC(RC/2),,V2=VR2+(VL-VC),Here,V=220V;VL=VC=300V,,Currenti=,,-,,C,2,,VrmsR,×,ZZ,,(220)2´200,(200)2,,RöV2rmsR,æ,çQcosf=÷=,Zø,è,Z2,,=,,220´220,=242W,200,,50.05,2020(II)],(a)x,yandzhavethesamedimension.,(b)Onlyxandzhavethesamedimension.,(c)Onlyxandyhavethesamedimension.,(d)Onlyyandzhavethesamedimension.,Dimensionalformulaforthermalconductivityis(hereK,denotesthetemperature:,[Sep.The,percentagechangeinitselectricalresistanceifitsvolume,remainsunchangedis:,[9Jan.FlowfromAntimony,toBismuth.,(a),,R1,,R2,,E,,E,,I,,R,,LetEbetheemfofeachsourceofcurrent,2E,CurrentinthecircuitI=,R+R1+R2,PotentialdifferenceacrosscellhavinginternalresistanceR2,V=E–iR2=0,2E,×R2=0,E–,R+R1+R2,ÞR+R1+R2-2R2=0,,72.,,....Theirplanesurfacesareparalleltoeachother.,Then,thefocallengthofthecombinationwillbe:,[12Jan.(a)I1=30AI=10A,I2=20A,,=,,I=10A,,z,x,,4p´10-7´10´2´2,=8×10–5N,2´p´0.1,,90.4%(b)10%,(c)0.15%,(d)1.5%,AphysicalquantityPisdescribedbytherelation,P=a1/2b2c3d–4,Iftherelativeerrorsinthemeasurementofa,b,candd,respectively,are2%,1%,3%and5%,thentherelative,errorinPwillbe:,[OnlineApril9,2017],(a)8%,(b)12%,(c)32%,(d)25%,Ascrewgaugewithapitchof0.5mmandacircularscale,with50divisionsisusedtomeasurethethicknessofa,thinsheetofAluminium.2020(I)],8,8,4,2,1,R,R,R,R,(a),(b),(c),(d),9,9,3,3,Anairbubbleofradius1cminwaterhasanupward,acceleration9.8cms–2.Ifthe,coefficientoffrictionism=0.4,themaximumpossiblevalue,b,forboxnottotopplebeforemovingis,a,________.,[NA7Jan.Theaccelerationofthecentreof,massoftheparticlesis:,[8April2019I],,2L,,3L,,r,13,5,rcm=Lxˆ+Lyˆ,8,8,,(b),,r,5,13,rcm=Lxˆ+Lyˆ,8,8,,r,3,11,rcm=Lxˆ+Lyˆ,8,8,,(d),,r,11,3,rcm=Lxˆ+Lyˆ,8,8,,11.Ifelectronicchargee,electronmassm,speedoflightin,vacuumcandPlanck’sconstantharetakenasfundamental,quantities,thepermeabilityofvacuumm0canbeexpressed,inunitsof:,[OnlineApril11,2015],,(a),,æhcö,(b)ç2÷,èmeø,,æhö,(a)ç2÷,èmeø,,æmc2ö,(d)çç2÷÷,èheø,24.2019II],3,(a)1.6×10km,(b)3.2×103km,3,(c)6.4×10km,(d)28×104km,53.Thetemperatureof,thesurroundingsis:,[OnlineApril12,2014],(a)25°C,(b)10°C,(c)15°C,(d)20°C,,0,,(d),,t,,loge(q–q0),,loge(q–q0),,(b),,(c),(c),,t,,O,,t,t,O,O,64.Athird,wireCcarryingacurrentIistobekeptparalleltothem,atadistancexfromAsuchthatthenetforceactingonit,iszero.Theadditionalresistancethatshouldbeconnectedin,serieswithR1toincreasetherangeofthevoltmeterto0,–2Vwillbe:,[Sep.2019I],(a)2750kHz,(b)2900kHz,(c)2250kHz,(d)2000kHz,14.It,shouldcorrectlyberecordedas:[Sep.If,thesecapacitorsareconnectedinseries,theireffective,capacitancewillbe:,[8Jan.Ultravioletrays,(iv)Absorbedbythe,ozonelayerofthe,atmosphere,1,2,3,4,(a)(iv),(iii),(ii),(i),(b)(i),(ii),(iv),(iii),(c)(iii),(ii),(i),(iv),(d)(i),(ii),(iii),(iv),Ifmicrowaves,Xrays,infrared,gammarays,ultra-violet,,radiowavesandvisiblepartsoftheelectromagnetic,spectrumaredenotedbyM,X,I,G,U,RandVthenwhich,ofthefollowingisthearrangementinascendingorderof,wavelength?,[OnlineApril19,2014],(a)R,M,I,V,U,XandG,(b)M,R,V,X,U,GandI,(c)G,X,U,V,I,MandR,(d)I,M,R,U,V,XandG,MatchtheList-I(Phenomenonassociatedwith,electromagneticradiation)withList-II(Partof,electromagneticspectrum)andselectthecorrectcodefrom,thechoicesgivenbelowthislists:[OnlineApril11,2014],1.,,52.,,53.,,Physics,,List1,Infraredwaves,,I,,ListI,Doubletofsodium,,ListII,(A)Visibleradiation,,IIWavelength,correspondingto,temperatureassociated,withtheisotropic,radiationfillingallspace,,(B)Microwave,,IIIWavelengthemittedby,atomichydrogenin,interstellarspace,,(C)Shortradiowave,,IVWavelengthofradiation(D)X-rays,arisingfromtwoclose,energylevelsinhydrogen,,(a)(I)-(A),(II)-(B),(III)-(B),(IV)-(C),(b)(I)-(A),(II)-(B),(III)-(C),(IV)-(C),(c)(I)-(D),(II)-(C),(III)-(A),(IV)-(B),(d)(I)-(B),(II)-(A),(III)-(D),(IV)-(A),54.Onemoleofanidealmonoatomicgasistakenalongthe,pathABCAasshowninthePVdiagram.ThevalueofQis:,[2Sep.06,2020(I)],(a)10–3,,(b)10–4,,(c)10–2,(d)10–1,39.Followingareexpressionsforfourplanesimpleharmonic,waves,[OnlineMay7,2012],æ,ö,x,(i)y1=Acos2pçn1t+÷,l1ø,è,,58.Aresistanceisshowninthefigure.Calculatetheradiusofthe,pathifamagneticfield100mTisthenapplied.,[Chargeoftheelectron=1.6×10–19C,Massoftheelectron=9.1×10–31kg][11Jan2019,I],(a)7.5×10–3m,,(b)7.5×10–2m,,(c)7.5m,(d)7.5×10–4m,12.ACarnotenginehavinganefficiencyof,isbeingused,10,asarefrigerator.Attimet=0,itisatitspositionofequilibrium.,Thekineticenergy-timegraphoftheparticlewilllooklike:,[2017],(c),,(a),,(b),,(c),,(d),,26.Weapply,superpositionprincipletofindvoltage‘DV’developedbetween‘B’,and‘C’.(i),,Alsoq=q1+q2,,A,,68.,,1ÞZ1=q2,Z2q1,q,,q,q,=1+1,q2q2,,Þ,,....(a)Fundamentalfrequency,f=70Hz.,Thefundamentalfrequencyofwirevibratingunder,tensionTisgivenby,,f=,,1T,2LmPage238:P-229,,Waves,,Here,µ=massperunitlengthofthewire,L=lengthofwire,,Sincerodisclampedatmiddlefundamentalwaveshape,isasfollow,,1,540,2L6´10-3,ÞL»2.14m,(b)V=fl=f×2(l2-l1),=480×2(0.70–0.30),=384m/s,3l,4,=2orl=m,(b),2,3,4,Velocity,v=fl=240´=320m/sec,3,240,=80Hz,Alsof1=,3,(b)Given,y=0.3sin(0.157x)cos(200pt),Sok=0.157andw=200p,w200p,=4000m/s,orf=100Hz,v==,k0.157,nv4v2v,=,=,Now,usingf=,2l2l,l,2v2´4000,\l=,=,=80m,f,100,(c)Astheremustbenodeatbothendsandatthejoint,ofthewireAandBso,,l,A,N,=LÞl=2L,2,l/2,l=1.2m(QL=60cm=0.6m(given),Usingv=fl,,70=,,27.,,28.,,29.,,30.,,v5.85´103,=,l,1.2,=4.88×103Hz;5KHz,Þ,,l,=l1+e=11cm,4,(Qendcorrectione=1cmgiven),3l,Forsecondresonance,,=l2+e,4,Þl2=3´11-1=32cm,35.(dis,muchlargerthanthedimensionsofthedipole),[8April2019II],,(c),4.,,5.,,6.,,7.,,8.,,9.,æm0öM,ç÷,(a)è4pød,2,,(),,3,,´qv,,(b)0,,æmöM,2ç0÷,è4pød,2,,(),,3,,´qv,,æm0ö2M,´qv,ç÷,(d)è4pød3,2,,(),,Amagnetoftotalmagneticmoment10-2iÂ-m2is,placedinatimevaryingmagneticfield,,Biˆ(coswt)whereB=1Teslaandw=0.125rad/s.2019II],(a)3.3×10–2,(b)4.3×10–2,(c)2.3×10–2,(d)3.3×10–4,Atsomelocationonearththehorizontalcomponentof,earth’smagneticfieldis18×10–6T.(c)Potentialgradient,Þk=,,k=,,VIRIærlöIr,=,=ç÷=,l,llèAøA,,0.2´4´10-70.8,=,=0.1V/m,8,8´10-7,,137.Thewholesetupis,movingtowardsrightwithaconstantspeedof1cms–1.IfImbethemaximumintensity,,theresultantintensityIwhentheyinterfereatphase,differencefisgivenby:,[2012],,Imæ,2,(b),ç1+2cos,3è,,Im,(4+5cosf),(a),9,,(c),39.,,40.,,41.,,Im,5,,æ,2fö,ç1+4cos÷,2ø,è,,(d),,fö,÷,2ø,,Imæ,2fö,ç1+8cos÷,9è,2ø,,InYoung’sdoubleslitinterferenceexperiment,theslit,widthsareintheratio1:25.IftheforceFisdistributeduniformly,overthemopandifcoefficientoffrictionbetweenthe,mopandthefloorism,thetorque,appliedbythe,machineonthemopis:,[10Jan.Initiallytheblocks,areatrestandthespringisunstretched.(a)Thevoltageacrosszenerdiodeisconstant,,4´10,ForV=16volt,,(16-6),,BatteryVoltage,300,,ii–i1,R2,5kW(R1),,120V,,10kW,,=5mA,,i2=is–i1=5–1.5=3.5mA,,12.Itiscompressedtoadistance,xfromitsequilibriumpositionandreleasedfromrest.Itsmagnetic,susceptibilityattemperature350Kis2.8×10–4.Ofthe,fourchoicesgivenafterthestatements,choosetheone,thatbestdescribesthetwostatements.,[2011],Statement–1:Ametallicsurfaceisirradiatedbya,monochromaticlightoffrequencyv>v0(thethreshold,frequency).Anelectronisreleasedfromrestontheinnersurface,ofplate1.AnidealmonatomicgaswithpressureP,volumeVand,temperatureTisexpandedisothermallytoavolume2V,andafinalpressurePi.Ifthesamegasisexpanded,adiabaticallytoavolume2V,thefinalpressureisPa.The,P,ratioais,[OnlineMay26,2012],Pi,(a)2–1/3,(b)21/3,(c)22/3,(d)2–2/3,43.Inordertoproducea,rotationalkineticenergyof1200J,theangular,accelerationof20rad/s2mustbeappliedabouttheaxis,foradurationof:,[9Apr.Atroomtemperaturewhichoneofthefollowing,statementsismostappropriate?,[2007],(a)Thenumberoffreeelectronsforconductionis,significantonlyinSiandGebutsmallinC.,(b)Thenumberoffreeconductionelectronsissignificant,inCbutsmallinSiandGe.,(c)Thenumberoffreeconductionelectronsisnegligibly,smallinallthethree.,(d)Thenumberoffreeelectronsforconductionis,significantinallthethree.,38.2019II],O',,D2,,O,,D3,,D1,,(a)MR2,(b)3MR2,4,2,MR2,MR2,(d),(c),5,3,101.(b)Incommonemitterconfigurationforn-p-ntransistor,inputandoutputsignalsare180°outofphasei.e.,phase,differencebetweenoutputandinputvoltageis180°.,60.Ifthe,stringdoesnotsliponthecylinder,withwhat,accelerationwillthemassfallorrelease?,[2014],,R,m,,m,(d)g,24.ThreeconcentricmetalshellsA,BandCofrespective,radiia,bandc(a<b<c)havesurfacechargedensities,+s,–sand+srespectively.Thevalueoffis:,[Sep.Inacompoundmicroscope,thefocallengthofobjective,lensis1.2cmandfocallengthofeyepieceis3.0cm.(a)Thetwospringsareinparallel.,\Effectivespringconstant,,k=k1+k2,Initialfrequencyofoscillationisgivenby,1k1+k2,....(i),m,2p,Whenbothk1andk2aremadefourtimestheiroriginal,values,thenewfrequencyisgivenby,,v=,,v'=,=,,1,2p,,1,2p,,4k1+4k2,m,,æ1,4(k1+4k2),=2ç,ç2p,m,è,,dx,=2×10–2psinpt,dt,Forthefirsttime,thewhenvelocitybecomesmaximum,,sinpt=1,Þsinpt=sinp,2,v=,,1,p,or,,t==0.5sec.,2,2,68.(b)Forconstructiveinterference,,2dcosi=nldB,62.Thepotentialgradientwillbeequalto,[2011RS],(a)1V/m(b)0.5V/m(c)0.1V/m(d)0.2V/m,137.(c)Rateofheatflowisgivenby,,,DT,6.4,´100=,´100=21%,,T,30,sotheclosestansweris20%.,Temp.Page163:P-154,,Physics,,1é43ù2,é11ù,´êpRrúv=4pR3Tê-ú,2ë3,û,ërRû,v2=,,6Té11ù,rêërRúû,,v=,,6Té11ù,rêërRúû,,61.Averysmallpointlikepieceof,itofmassmgetsdetachedfromthebottomofthesphere,andfallsdownverticallyundergravity.Theriseoftemperatureofthebulletifthespecificheatofitsmaterialis,0.030cal/(g–ºC)(1cal=4.2×107ergs)closeto:,[Sep.AbodyA,ofmassm=0.1kghasaninitialvelocityof3iˆms–1.,Itcollideselasticallywithanotherbody,Bofthesame,masswhichhasaninitialvelocityof5ĵms–1.05,2020(I)],,(c),,72.,,ForceandTorqueonCurrent,CarryingConductor,,2,,m0I2a2,2pb,,2,,æˆj,kˆö,abI,alongç,+,÷,ç2,2÷ø,è,æˆj,kˆö,(b),2abI,alongç,+,÷,ç2,2÷ø,è,æˆj,2kˆö,(c),2abI,alongç,+,÷,ç5,5÷ø,è,æˆj,2kˆö,(d)abI,alongçç,+,÷,5÷ø,è5,74.=Þvmax.2020II],,(a)0.5mA;6mA,(b)1mA;8.5mA,(c)0.5mA;8.5mA,(d)1.5mA;8.5mA,13.Theanglebetweentheinitialvelocitiesofthe,twobodies(indegree)is______.[NA6Sep.The,temperatureatwhichtheclockwillshowcorrecttime,and,theco-efficientoflinearexpansion(a)ofthemetalofthe,pendulumshaftarerespectively:,[2016],(a)30°C;a=1.85×10–3/°C,(b)55°C;a=1.85×10–2/°C,(c)25°C;a=1.85×10–5/°C,(d)60°C;a=1.85×10–4/°C,Inanenginethepistonundergoesverticalsimpleharmonic,motionwithamplitude7cm.2019I],12V,,R1500W,,15.,,R21500W,V2=10VR2,(a)0.0mA,(b)6.7mA,(c)4.0mA,(d)6.0mA,Thecircuitshownbelowcontainstwoidealdiodes,each,withaforwardresistanceof50W.Amarbleblockofmass2kglyingonicewhengivena,velocityof6m/sisstoppedbyfrictionin10s.[2008],(a)er=0.5,mr=1.5,(b)er=1.5,mr=0.5,(c)er=0.5,mr=0.5,(d)er=1.5,mr=1.5,35.Ittakes5minutesincoolingdownfrom80°Cto,40°C.wsin(wt)(b)pm0Io.Ifn>>1,thefrequencyof,radiationemittedisproportionalto:,[2013],(a),,37.,,38.,,Physics,,1,n,,(b),,1,n2,,(c),,1,n3,,(d),,1,n3,,2,A12.5eVelectronbeamisusedtobombardgaseous,hydrogenatroomtemperature.Achargedparticlewithchargeqentersaregionof,ur,constant,uniformandmutuallyorthogonalfieldsEand,ur,ur,ur,r,BwithavelocityvperpendiculartobothEandB,,andcomesoutwithoutanychangeinmagnitudeor,r,directionofv.Thevelocityversusheightoftheballduringitsmotion,2,mayberepresentedgraphicallyby:,(grapharedrawnschematicallyandonnottoscale),[4Sep.Ifthepartpushingtheball,appliesaconstantforceFontheballandmoves,horizontallyadistanceof0.2mwhilelaunchingtheball,,thevalueofF(inN)is(g=10ms–2)__________.,[NA3Sep.Whatistheminimumbasecurrent,forVCEtoreachsaturation?,[8Apr.(d)Whenthependulumisoscillatingoveracurrent,carryingcoil,andwhenthedirectionofoscillating,pendulumbobisoppositetothedirectionofcurrent.Asatelliteisrevolvinginacircularorbitataheight'h'from,theearth'ssurface(radiusofearthR;h<<R).Iflisthewavelengthoflightwaves,,thefringewidthDxofinterferencepatternsofthetwosets,ofwavesonthescreenis,[OnlineMay19,2012],l,l,2l,l,(a),(b),(c)2a,(d),(),a,a,a,Thisquestionhasaparagraphfollowedbytwostatements,,Statement–1andStatement–2.Whilewaterisheated,thecontainerloses,energyatarateof160J/s.Oneofthewiresis,bentintoaloopandproducesmagneticfieldB1,atits,centrewhenacurrentIpassesthroughit.ifaistheaccelerationoftheparticle,thenwhichofthefollowingstatements,istruefortheparticle?,[Sep.05,2020(II)],(a),,a1L1+a2L2,L1+L2,,a+a2,(c)1,2,,2.,,3.,,4.,,5.,,6.,,7.,,(b)2a1a2,aa,L2L1,(d)412,a1+a2(L2+L1)2,,Abakelitebeakerhasvolumecapacityof500ccat30°C.,WhenitispartiallyfilledwithVmvolume(at30°C)of,mercury,itisfoundthattheunfilledvolumeofthebeaker,remainsconstantastemperatureisvaried.Anamplitudemodulatedsignalisplottedbelow:,10V,8V,,V(t),t,,(c)v0sinw0t+Acoswt,5.,,(d)(v0+A)coswtsinw0t,Thephysicalsizesofthetransmitterandreceiverantenna,inacommunicationsystemare:,[9April2019II],(a)independentofbothcarrierandmodulationfrequency,(b)inverselyproportionaltocarrierfrequency,(c)inverselyproportionaltomodulationfrequency,(d)proportionaltocarrierfrequency,,8ms,100ms,Whichoneofthefollowingbestdescribestheabove,signal?,[11Jan.Alightrayisincidentperpendicularlytoonefaceofa90°,prismandistotallyinternallyreflectedattheglass-air,interface.06,2020(I)],B,Y,A,,A,B,5,,10,,15,,20,,tPage491:P-482,,Physics,,78.06,2020(II)],rr,(a)quantityváisconstantintime,r,(b)Farisesduetoamagneticfield,(c)kineticenergyofparticleisconstantintime,rr,(d)quantityv×aisconstantintime,Aspaceshipinspacesweepsstationaryinterplanetarydust.,dM(t),=bv2(t),,Asaresult,itsmassincreasesatarate,dt,wherev(t)isitsinstantaneousvelocity.0.1ς,o,,2,,+veterminal1,–veterminal2,resistancehigh.,64.Whenthewireiscooleddownfrom40oCto20oCit,regainsitsoriginallengthof0.2m.Theradialrateofflowofheatinasubstance,betweenthetwoconcentricspheresisproportionalto,[2005],,2,1,1,(b),(c)1,(d),3,2,3,52.Whichofthe,,+,,r,(a)Emustbetheelectricfieldduetotheenclosedcharge,r,(b)IfnetchargeinsidetheGaussiansurface=0,thenE,mustbezeroeverywhereovertheGaussiansurface.,(c)IftheonlychargeinsidetheGaussiansurfaceisan,electricdipole,thentheintegraliszero.,uuur,r,(d)EisparalleltodAeverywhereovertheGaussiansurface.,Adipoleconsistingoftwocharges+qand–qjoinedbya,masslessrodoflengthl,isseenoscillatingwithasmall,amplitudeinauniformelectricfieldofmagnitudeE.AsimplependulumoscillatinginairhasperiodT.Thetemperature,atwhichtherootmeansquarevelocity,ofhydrogenmoleculesequalstheirescapevelocityfrom,theearth,isclosestto:,[8April2019II],–23,[BoltzmannConstantkB=1.38×10J/K,AvogadroNumberNA=6.02×1026/kg,RadiusofEarth:6.4×106m,GravitationalaccelerationonEarth=10ms–2],(a)800K,(b)3×105K,4,(c)10K,(d)650K,14.Iftheaccelerationofthe,cylinderis‘a’anditisrollingwithoutslippingthenthe,valueof‘F’is:,[OnlineApril10,2015],5,ma,(a)ma,(b),3,3,ma,(c),(d)2ma,2,136.Anelectricbulbisrated220volt-100watt.Acapacitanceof2mFisrequiredinanelectricalcircuit,acrossapotentialdifferenceof1.0kV.HenceNOTgate.,77.Twomaterialshavingcoefficientsofthermalconductivity,‘3K’and‘K’andthickness‘d’and‘3d’,respectively,are,joinedtoformaslabasshowninthefigure.05,2020(I)],Asmallbarmagnetismovedthroughacoilatconstant,speedfromoneendtotheother.(b)Corecivity,H=mandB=m0niçèn=÷ø,l,0,,N,100,i=,×5.2=2600A/m,l,0.2,(b)GivenNumberofturns,,n=1000turns/cm=1000×100turns/m,Coercivityofferromagnet,H=100A/m,Currenttodemagnetisetheferromagnet,I=?,Using,,H=nI,or,100=105×I,100,\I=5=1mA,10,(b)Graph[A]isformaterialusedformakingpermanent,magnets(highcoercivity),Graph[B]isformakingelectromagnetsandtransformers.,(d)VB=VBHl=240×5×10–5cos(q)×5=44.7mv,Byrighthandrule,thechargemovestotheleftofpilot.,(c)Here,r=30cm=0.3cm,m0M,=BH=3.6´10–5,weknow,4pr3,,(,,4p´6.4´106,,r,,S,,r,,N,,S,20,cm=0.1m,M2=1.00Am2;r=,2,Bnet=B1+B2+BH,,m(M1+M2),Bnet=0,+BH,4p,r3,=,,10-7(1.2+1),(0.1)3,,+3.6´10-5=2.56´10-4wb/m2,,33.[2002],(a)totalinternalreflection(b)scattering,(c)diffraction,(d)refraction.,,TOPIC3,,RefractionatCurvedSurface,LensesandPowerofLens,,33.Ifitsinstantaneousvelocityat(t=0),k,isv0kˆ,theforceactingonitduetothewaveis:,[7Jan2020,II],iˆ+ˆj,(b)zero,(a)parallelto,2,iˆ+ˆj,(c)antiparallelto,(d)paralleltok̂,2,13.Thecarwillcatchup,withthebusafteratimeof:,[OnlineApril9,2017],,(a),33.,,34.,,110s,,(b),,(c),,u+v,2,,uv,,(b),,12,u+v2,2,,(d),,æu2+v2ö,ç,÷,2ø,è,,TOPIC4MotionUnderGravity,35.,,2æhö,ç÷,3ègø,,h,g,,(b)t=1.8,,æhö,(c)t=3.4ç÷,ègø,,(d)t=,,2h,3g,,36.Apointparticleofmassm,moveslongtheuniformly,roughtrackPQRasshowninthefigure.(iii),From(ii),R100–R0=100aR0,...Ifweneedamagnificationof375fromacompound,microscopeoftubelength150mmandanobjectiveof,focallength5mm,thefocallengthoftheeye-piece,should,becloseto:,[7Jan.AthinliquidfilmformedbetweenaU-shapedwireanda,lightslidersupportsaweightof1.5×10–2N(seefigure).,Thelengthoftheslideris30cmanditsweightisnegligible.,Thesurfacetensionoftheliquidfilmis,[2012],,FILM,,z,W,(a)0.0125Nm–1,(b)0.1Nm–1,(c)0.05Nm–1,(d)0.025Nm–1,68.A,staroutsidethegalaxyisorbitingthegalaxyinaplane,perpendiculartothegalaxyandpassingthroughitscentre.,IfthetimeperiodofstarisTanditsdistancefromthe,galaxy’saxisisr,then:,[OnlineApril10,2015],(a)Tµr,,(b),,(c)Tµr2,,(d)T2µr3,,Tµr,,65.IndianInstitutesofScienceEducationandResearch(IISER),,Pune,7.(a)Given,amplitudea=10cm,wavevelocity=2×maximumparticlevelocity,i.e,wl=2aw,2p,p,or,l=4a=4×10=40cm,8.Thenvalueofhis:,[9Jan.Insteadystate,,temperaturedifferencebetweenPandQwillbecloseto:,[9Jan.Asatelliteofmassmislaunchedverticallyupwards,withaninitialspeedufromthesurfaceoftheearth.,AfteritreachesheightR(R=radiusoftheearth),it,m,sothatsubsequentlythe,10,satellitemovesinacircularorbit.Themaximumvelocityofthephotoelectronsemittedfrom,thesurfaceisvwhenlightoffrequencynfallsonametal,surface.Thediscrotatesabout,anaxisperpendiculartoitsplaneandpassingthroughits,centrewithanangularvelocityw.(i)],,3,2,32+(R–3mm)2=R2,Þ32+R2–2R(3mm)+(3mm)2=R2,ÞR»15cm,,öæ2ö,1æm,=ç,-1÷ç÷,fèmL,øèRø,,60.,,4,,f1=4R,3,,5,formL2=,f2=-5R,3,Þf2=(–)ve,(a)Ifalensofrefractiveindexmisimmersedinamedium,ofrefractiveindexm1,thenitsfocallengthinmediumis,givenby,æ1,1ö,-1)ç,÷,èR1R2ø,Iffaisthefocallengthoflensinair,then,1,=,fm,,(,,mml,,Velocityoflightinvacuum,Velocityoflightinmedium,,\n=,,Hence,a=2f,(b)ByLensmaker'sformulaforconvexlens,,for,mL1=,,3(D+10)2,=,2(D-10)2,,Þ,,I2,,a/3,,3111,–+=,afaf,,fm(aml-1),=,fa(mml-1),,63.,,1æ3öæ1ö,=ç–1÷ç÷Þf=30cm,fè2øè15ø,(d)Ifsideofobjectsquare=l,andsideofimagesquare=l¢,,Fromquestion,,,l'2,=9,l,,l',=3,l,i.e.,magnificationm=3,u=–40cm,v=3×40=120cm,f=?,,or,,R=3cm,3mmPage419:P-410,,Physics,,Fromformula,,,111,-=,vuf,,Experimental,curve,,66.Thebobofasimplependulumexecutessimpleharmonic,motioninwaterwithaperiodt,whiletheperiodofoscillation,ofthebobist0inair.Inthermoelectricseries,Bismuthcomesearlierthan,Antimonysoatcoldjunction,current.Thenthe,èRø,gravitationalfieldismaximumat:,[3Sep.(b)Given:M1=1.20Am2,N,BH,,B,Nö,æ,22.2020I],3,(a)15°,(b)30°,(c)45°,(d)60°,17.AcoilhavingnturnsandresistanceRWisconnectedwith,agalvanometerofresistance4RW.03,2020(II)],,(a)103kgm–3,(c)1024kgm–3,2.,,3.,,4.,,5.,,(b)1010kgm–3,(d)1017kgm–3,,27,13Al,,thentheradiusof,(a)8fermi,(c)5fermi,,nucleusisestimatedtobe3.6fermi,,125,52Te,,nucleusbenearly,,[2005],,(b)6fermi,(d)4fermi,,TOPIC2Mass-EnergyEquivalenceand,NuclearReactions,6.,,Youaregiventhatmassof73Li=7.0160u,,4,2He=4.0026u,andMassof11H=1.0079u.,When20gof73Liisconverted,,(b)8×106,,(c)6.82×105,,(d)1.33×106,,Giventhemassesofvariousatomicparticlesmp=1.0072u,,mn=1.0087u,me=0.000548u,mv=0,md=2.0141u,where,pºproton,nºneutron,eºelectron,,vºantineutrinoanddºdeuteron.Thesurfaceenergyofthebiggerdrop,ifTis,thesurfacetension,is:,[2011RS],(a)4pr2T,,(c)28/3pr2T,(d)25/3pr2T,70.Ifm–1isboundtoaprotontoforma,hydrogenlikeatom,identifythecorrectstatements,[OnlineApril15,2018],(A)Radiusofthemuonicorbitis200timessmallerthan,thatoftheelectron,(B)thespeedofthem–1inthenthorbitis,,1,times,200,,thatoftheelectioninthenthorbit,(C)Thelonizationenergyofmuonicatomis200times,morethanthatofanhydrogenatom,(D)Themomentumofthemuoninthenthorbitis200,timesmorethanthatoftheelectron,(a)(A),(B),(D),(b)(B),(D),(c)(C),(D),(d)(A),(C),(D)Page460:P-451,,Atoms,,25.,,Someenergylevelsofamoleculeareshowninthefigure.,Theratioofthewavelengthsr=l1/l2,isgivenby,[2017],,1,4,2,3,(b)r=,(c)r=,(d)r=,3,3,3,4,Theaccelerationofanelectroninthefirstorbitofthe,hydrogenatom(z=1)is:,[OnlineApril9,2017],,(a)r=,26.,,(a),(c),27.,,28.,,29.,,30.,,h2,p2m2r3,h,2,,(b),,2,23,,4pmr,,(d),,h2,8p2m2r3,h,,2,23,,4pmr,,AccordingtoBohr’stheory,thetimeaveragedmagnetic,fieldatthecentre(i.e.nucleus)ofahydrogenatomdueto,themotionofelectronsinthenthorbitisproportionalto:,(n=principalquantumnumber)[OnlineApril8,2017],(a)n–4,(b)n–5,(c)n–3,(d)n–2,Ahydrogenatommakesatransitionfromn=2ton=1and,emitsaphoton.WhatistheamplitudeAofthe,motion,sothatthemassmtendstogetdetachedfrom,thepan?,(Takeg=10m/s2).,Thespringisstiffenoughsothatitdoesnotgetdistorted,duringthemotion.,[OnlineApril22,2013],m,,61.,,62.,,63.,,(b)b,,(c),,1,b,,(d),,2,b,,AringissuspendedfromapointSonitsrimasshownin,thefigure.(a)IfaclosedpipevibrationinNthmodethenfrequency,(2N-1)v=2N-1n,ofvibrationn=,(,)1,4l,(wheren1=fundamentalfrequencyofvibration),Hence20,000=(2N–1)×1500,ÞN=7.1»7,\Numberofovertones=(No.ofmodeofvibration)–1,=7–1=6,32.Ifthemassofstripis50grams,its,resistance10Wandairdragnegligible,Nwillbecloseto:,[8April2019I],,(a)1000,(b)50000(c)5000,(d)10000,30.Calculatethedistancefrom,therefractingsurfaceatwhichaparallelbeamoflight,willcometofocus.,[10Jan.ForceF2isinXY(c)6,,kg-m2/s,,planewhileforceF1actsalongz-axisatthepoint,rr,2i+3j.Ifacurrentof2.0Aflowsthrough,thesmallerloop,thenthefluxlinkedwithbiggerloopis,[2013],(a)9.1×10–11weber,,(b)6×10–11weber,,(c)3.3×10–11weber,,(d)6.6×10–9weber,,22.Theatmosphericpressure,intheroomremains1×105Pa.Ifniandnfarethenumberof,moleculesintheroombeforeandafterheating,thennf–ni,willbe:,[2017],(a)2.5×1025,(b)–2.5×1025,(c)–1.61×1023,(d)1.38×1023,FortheP-Vdiagramgivenforanidealgas,,,(c),,5.,,6.,,1,P,P=,,Constant,V,,2,V,,outofthefollowingwhichonecorrectlyrepresentsthe,T-Pdiagram?,[OnlineApril9,2017],2,2,T,(a)T,(b),,1,,1,P,,P,,T,,T,2,(c),7.,,1,,1,,2,,(d),,P,ChamberI,ideal,gas,1,,P,ChamberII,real,gas,2,,3,,4Page196:P-187,,KineticTheory,,8.,,Therearetwoidenticalchambers,completelythermally,insulatedfromsurroundings.After,disconnectingthevoltagesource,itisconnectedinparallel,C,withanotherunchargedcapacitorofcapacitance.2019I],(Specificheatofwater=4.2J/g/°C,SpecificheatofIce=2.1J/g/°C,Heatoffusionofwaterat0°C=334J/g),(a)50g,(b)100g,(c)60g,(d)40g,26.Ifthe,horizontalcomponentofearth’smagneticfieldis0.2×10–4T,,thenthee.m.f.developedbetweenthetwoendsofthe,conductoris,[2004],(a)5mV,(b)50mV,(c)5mV,(d)50mV,49.Theyare,transverseinnaturelikelight.Themotionoftheballisaffectedbya,dragforceequaltomgv2(wheremismassoftheball,vis,itsinstantaneousvelocityandgisaconstant).Then:,[11Jan.MomentofinertiaofacylinderofmassM,lengthLand,radiusRaboutanaxispassingthroughitscentreand,perpendiculartotheaxisofthecylinderis,æR2L2ö,+÷÷.Lightofwavelength550nmfallsnormallyonaslitofwidth,22.0×10–5cm.MoleculesofthegasAarerigid,andhave,amassm.Findthemaximummodulatedfrequencywhichcould,bedetectedbyit.,[2013],,33.,,34.,,35.,,D,Signal,,32.,,C,,R,,(a)10.62MHz,(b)10.62kHz,(c)5.31MHz,(d),5.31kHz,30.Thentheratiot1/t2willbe,[2010],(a)1,,(b),,1,2,,(c),,1,4,,(d)2,,100.Asolidsphereisrollingonasurfaceasshowninfigure,,withatranslationalvelocityvms–1.Theenergybandgapismaximumin,[2002],(a)metals,(b)superconductors,(c)insulators,(d)semiconductors.,,TOPIC2JunctionTransistor,,–10V,,+5V,R,,(IB),60mA,50mA,40mA,30mA,20mA,10mA,,R,,8,,(IC)inmA,,(d),,51.Acircularloopofradius0.3cmliesparalleltoamuchbigger,circularloopofradius20cm.2019II],,Iftherefractiveindexofthematerialoftheprismis,,thentheangleofincidenceis:,(a)90°,(b)30°,(c)60°,(d)45°,74.Anexperimenttakes10minutestoraisethetemperature,ofwaterinacontainerfrom0ºCto100ºCandanother55,minutestoconvertittotallyintosteambyaheater,supplyingheatatauniformrate.Itsdccurrentgainis250,,RC=1k&!andVCC=10V.If,thechargedparticlecontinuesmovingalongx-axis,the,ur,magnitudeofBis:,[OnlineApril23,2013],(a)16×103Wbm–2,(b)2×103Wbm–2,(c)1×103Wbm–2,(d)4×103Wbm–2,Proton,deuteronandalphaparticleofsamekineticenergy,aremovingincirculartrajectoriesinaconstantmagnetic,field.06,2020(I)],,4.,,5.,,(a)3×10–4T,along+zdirection,(b)5×10–3T,along–zdirection,(c)5×10–3T,along+zdirection,2.,,(b)0.88m,,(d)3×10–4T,along–zdirection,Aparticleofchargeqandmassmismovingwitha,,(c)0.44m,,velocity–v$i(v¹0)towardsalargescreenplacedinthe,Y-Zplaneatadistanced.AthinconvexlensL(refractiveindex=1.5)isplacedona,planemirrorM.(c)Timeofhalftheamplitudeis=2s,Using,A=A0e–kt,A0,=Aee-k´2,2,,(c)QA=A0e,,-,,mu,u,=,M+13m15,,u,K,Á,v=wAÞ=,15,M-13m,,y=,,F0,2,,22,,m(w0-w),,=,,F0,,m(w02-w2),Heredampingeffectisconsideredtobezero,,\xµ,,1,2,,2,,m(w0-w)Page228:14,Waves,BasicofMechanicalWaves,,TOPIC1ProgressiveandStationary,Waves,1.,,2.,,Assumethatthedisplacement(s)ofairisproportional,tothepressuredifference(Dp)createdbyasoundwave.,Displacement(s)furtherdependsonthespeedofsound,(v),densityofair(r)andthefrequency(f).GiveninthefigurearetwoblocksAandBofweight20N,and100N,respectively.AnelectricfieldEisappliedalongthe,x-direction.Ifthemagnetic,momentofthisdipoleiscloseto8×1022Am2,the,valueofearth’smagneticfieldneartheequatorisclose,to(radiusoftheearth=6.4×106m),[OnlineApril25,2013],(a)0.6Gauss,(b)1.2Gauss,(c)1.8Gauss,(d)0.32Gauss,34.Twospheresofthesamematerialhaveradii1mand4m,andtemperatures4000Kand2000Krespectively.2019II],(a)2.0,(b)0.1,(c)0.4,(d)1.2,(a)Page89:P-80,,Physics,,30.Consideramixtureofnmolesofheliumgasand2n,molesofoxygengas(moleculestakentoberigid)asan,idealgas.Thisismeasuredinanexperimentasshownusingthe,V,standardformulaR=,whereVandIarethereadingof,I,thevoltmeterandammeter,respectively.Ifthesteelballispulledupward,withaforceequaltotwiceitseffectiveweight,howfast,willitmoveupward?,[OnlineApril25,2013],(a)5cm/s(b)Zero(c)10cm/s,(d)20cm/s,,TOPIC4,,SurfaceTension,Surface,EnergyandCapillarity,,52.Thenumberofamplitudemodulatedbroadcaststations,thatcanbeaccommodatedina300kHzbandwidthforthe,highestmodulatingfrequency15kHzwillbe:,[OnlineApril15,2018],(a)20,(b)10,(c)8,(d)15,18.Auniformmetallicwirehasaresistanceof18Wandis,bentintoanequilateraltriangle.Aslatticeconstantsincreasesthe,band-gap(Eg),alsoincreaseswhichmeansmore,energywouldberequiredbyelectronstoreachthe,conductionbandfromthevalenceband.Ifthe,speedoftheboatis1.50ms–1,themagnitudeoftheinduced,emfinthewireofaerialis:,[2011],(a)0.75mV,(b)0.50mV,(c)0.15mV,(d)1mV,44.The,deflectioninthegalvanometerisd.[2009],(a)Statement-1istrue,Statement-2istrue;Statement-2,isthecorrectexplanationofStatement-1.,(b)Statement-1istrue,Statement-2istrue;Statement-2,isnotthecorrectexplanationofStatement-1.,(c)Statement-1isfalse,Statement-2istrue.,(d)Statement-1istrue,Statement-2isfalse.,Q,Letr(r)=,rbethechargedensitydistributionfor,pR4,asolidsphereofradiusRandtotalchargeQ.(a)Letdisthemaximumdistance,uptowhichitcan,detecttheobjects,C,FromDAOC,2,,2,,OC=AC+AO,,d,,2,A,,(h+R)2=d2+R2,,Þ,,2,,2,,d=(h+R)-R,,q,,h,B,R,,R,O,,2,,d=(h+R)2-R2;d=h2+2hR,d=5002+2´6.4´106=80km,35.Aparticleismovingunidirectionallyonahorizontalplane,undertheactionofaconstantpowersupplyingenergy,source.AthinuniformbaroflengthLandmass8mliesonasmooth,horizontaltable.Ifthe,2,maximumkineticenergyoftheemittedphotoelectronsin,thesecondcaseis3timesthatinthefirstcase,thework,functionofthesurfaceis:,[OnlineApril10,2016],,monochromaticlightofwavelengthsland,,hc,hc,(b),2l,l,hc,3hc,(c),(d),3l,l,Whenphotonsofwavelengthl1areincidentonanisolated,sphere,thecorrespondingstoppingpotentialisfoundto,beV.AdcsourceofemfE1=100Vandinternalresistancer=0.5,W,astoragebatteryofemfE2=90Vandanexternal,resistanceRareconnectedasshowninfigure.2020II],(a)1.5T,50A/mand1.0T,(b)1.5T,50A/mand1.0T,(c)150A/m,1.0Tand1.5T,(d)1.0T,50A/mand1.5T,Aparamagneticmaterialhas1028atoms/m3.Intheexperiment,asource,oflightofwavelength589nmisusedandtheinterference,patternisobservedonascreenkept1.5maway.Theerrorin,thereadingofvolmeterwillbe:[OnlineApril12,2014],(a)–0.Ahypotheticalatomhasonlythreeenergylevels.Aparticlestartsfromtheoriginattimet=0andmoves,alongthepositivex-axis.Twoshortbarmagnetsoflength1cmeachhavemagnetic,moments1.20Am2and1.00Am2respectively.Itcomesto,equilibriuminthepositionshowninthefigure.Whichof,thefollowingistrueforr1,r2andr3?,[2008]Page150:P-141,,MechanicalPropertiesofFluids,r1,,r3,,(a)r3<r1<r2,(c)r1<r2<r3,,(b)r1>r3>r2,(d)r1<r3<r2,,FluidFlow,Reynold'sNumber,TOPIC2andBernoulli'sPrinciple,19.Page356:P-347,,MagnetismandMatter,,36.Thesupportofthependulum,startsoscillatingupanddownwithasmallangular,frequencyof1rad/sandanamplitudeof10–2m.Thedensityoftheliquidis,,1,thofthematerialof,16,,thebob.nmolesofanidealgasundergoaprocessA®Basshown,inthefigure.(d)Temperaturecoefficientofresistanceisnegativefor,puresemiconductor.Ifthesameautomobile,istravellingat80km/h,theminimumstoppingdistance,in,metres,is(assumenoskidding)[OnlineApril15,2018],(a)75m,(b)160m(c)100m(d)150m,15.Ifchargeq0isgivenasmall,displacement(y,9,sinq>,,(b),(d),,2,3,1,sinq>,3,sinq>,,(a),,n>,,(c),,n2,,(d),,n<2,,TOPIC5OpticalInstruments,83.Young’smodulus,Y,forthis,metalis:,[9Jan.Theycollidecompletely,è,ø,inelastically.Thegasis,heatedbyasmallheateruntilthepistonmovesoutslowly,by0.1m.Thetotalcurrentsuppliedtothecircuitbythebatteryis,[2004],6V,,TOPIC3,,(c)2A,,(d)1/3A,,40V,Fourresistances40W,60W,90Wand110Wmakethe,armsofaquadrilateralABCD.Abeamofelectromagneticradiationofintensity,6.4×10–5W/cm2iscomprisedofwavelength,l=310,nm.Thedecayconstantsofaradioactivesubstanceforaand,bemissionarelaandlbrespectively.CurrentElectricity,,Topic1:ElectricCurrent,DrifofElectrons,Ohm’sLaw,ResistanceandResistivity,Topic2:CombinationofResistances,Topic3:Kirchhof’sLaws,Cells,Termoe.m.f.Electrolysis,Topic4:HeatingEfectofCurrent,18.Twotubesofradiir1andr2,andlengthsl1andl2,respectively,areconnectedinseriesandaliquidflowsthrough,eachoftheminstreamlineconditions.Thecarrierfrequencyofatransmitterisprovidedbya,tankcircuitofacoilofinductance49mHandacapactiance,of2.5nF.Ifitneeds,,force,,P,whilemovingdownhillatspeedvthenvalueof,2,vis:,[OnlineApril9,2016],(a)20ms–1(b)5ms–1(c)15ms–1(d)10ms–1,55.2020(II)],,(a)r=3R,4,,1,,R,,GravitationalfieldE,,(b)1.16,,GM,a,,(c)1.21,,GM,a,,(d)1.41,,GM,a,,K,.2019II],,(a)0.5,(b)0.3,(c)0.02,(d)0.28,48.Thequalityfactorofthecircuitis:,[Sep.Ofthefour,choicesgivenaftertheStatements,choosetheonethat,bestdescribesthetwoStatetnents.,Statement-1:Acapillaryisdippedinaliquidandliquid,risestoaheighthinit.(b)Fromequation,v=i+2ˆj,Þx=t,,ÞAngleq=tan–1,,1,y=2t-(10t2),2,From(i)and(ii),y=2x–5x2,,…(ii),,P,wall,45°,O,4mA,6m,Asballisprojectedatanangle45°tothehorizontal,thereforeRange=4H,10,=2.5m,or10=4HÞH=,4,(QRange=4m+6m=10m),Maximumheight,H=,\u2=,,H´2g,2,,sinq,,=,,u2sin2q,2g,,2.5´2´10,æ1ö,ç,÷,è2ø,,or,u=100=10ms-1,HeightofwallPA,,12,\h=gt,2,,=OAtanq2,,…(i),,31.Theradiusoftheringis,(takeg=,,p2),,[OnlineMay19,2012],S,,(a)0.15m,64.,,(b)1.5m,,(b),,ld,(r-d)g,,(d)2p,,2p,,lr,dg,lr,(r-d)g,,65.Whichtransitionshownrepresentsthe,emissionofaphotonwiththemostenergy?,[2005],,n=2,,I,,II,,III,,IV,,n=1,,(a)IV,(b)III,(c)II,(d)I,52.Itentersaregionofuniformelectricfieldof,300V/cmpointingalong+ydirection.IfathirdpolarizerCisplacedbetweenAandB,,theintensityofemergentlightisreducedtoI/3.Thecorrespondingdifferenceforthe,PaschanseriesinÅis:__________.,[NASep.(a),27.(c)Initialbalancinglength,l1=240cmNewbalancing,length,l2=120cm.,Theinternalresistanceofthecell,,æl-lö,240-120,´2=2W,r=ç12÷´R=,l,120,è,2øPage320:P-311,,CurrentElectricity,,140.Aparallelplatecapacitorofarea60cm2andseparation3,mmischargedinitiallyto90mC.Timetakenfor10completeoscillationsis:[2017],(a)6.98s,(b)8.76s,(c)6.65s,(d)8.Thefundamentalfrequencyoftheaircolumn,isnow:,[2016],f,3f,(a)2f,(b)f,(c),(d),2,4,38.(b)TomeasureACvoltageacrossaresistancea,movingcoilgalvanometerisused.,116.Then,voltagegain,current,gainandpowergainaregiven,respectively,by:,(biscurrentgain,IB,IC,IEarerespectivelybase,collector,andemittercurrents:),[OnlineApril15,2018],RLDIE2RL,,,,b,RBEDIB,RBE,,(a),,b,,(b),,b2,,RLDIC,R,,,,bL,RBEDIBRBE,,(c),,b2,,RLDIC2RL,,,,b,RBEDIE,RBE,,(d),,b,,RLDIC2RL,,,,b,RBEDIB,RBE,,58.Areaofcross-sectionof,eachrod=4cm2.Ifmass-energyequivalenceistakenintoaccount,when,wateriscooledtoformice,themassofwatershould[2002],(a)increase,(b)remainunchanged,(c)decrease,(d)firstincreasethendecrease,57.Attimet=0aparticlestartsmovingalongthex-axis.ThevoltageofA.Csourceisgivenby,V=2002sin,(100t)volts.Theratiooftheirkinetic,energies,TA/TB,is:,[12Jan.Ifs1isthesurfacechargeontheinner,surfaceandQ1netchargeonitands2thesurfacecharge,ontheoutersurfaceandQ2netchargeonitthen:,[OnlineApril10,2015],(a),,5.,,(a)s1¹0,Q1=0,(b)s1¹0,Q1=0,s2=0,Q2=0,s2¹0,Q2=0,(c)s1=0,Q1=0,(d)s1¹0,Q1¹0,s2=0,Q2=0,s2¹0,Q2¹0,Twocharges,eachequaltoq,arekeptatx=–aandx=a,q,onthex-axis.Theratioofdistancesbetweenthesatellite,andtheplanetatclosestandfarthestpointsis:,[NA6Sep.The,relativechangeintheangularfrequencyofthependulum,isbestgivenby:,[11Jan2019,II],(a)10–3rad/s,(b)1rad/s,(c)10–1rad/s,(d)10–5rad/s,Themassandthediameterofaplanetarethreetimesthe,respectivevaluesfortheEarth.2019I],(a)mFR/3,(b)mFR/6,2,μmFR,(c)mFR/2,(d),3,52.Towhichregionofelectromagneticspectrum,doesitbelong?,[OnlineApril9,2013],(a)X-rayregion,(b)Ultravioletregion,(c)Infraredregion,(d)Visibleregion,56.Assumingthatthewaterstops,immediatelyafterhittingthepalm,theminimumforce,thatyoumustexertshouldbe,(densityofwater=103kgm–3)[OnlineApril9,2014],(a)15N,(b)22.5N(c)33.7N,(d)45N,34.Inthiscase:,[12April2019,I],,56.,,Q/2,,4pa2,(b)electricfieldoutsidetheshellisthesameasthatofa,pointchargeatthecentreoftheshell.,(c)surfacechargedensityontheoutersurfacedepends,r,onP,(d)surfacechargedensityontheinnersurfaceofthe,shelliszeroeverywhere.Letatotalcharge2Qbedistributedinasphereofradius,R,withthechargedensitygivenbyr(r)=kr,whereris,thedistancefromthecentre.The,manpusheshissonsothathestartsmovingataspeedof,0.70ms–1withrespecttotheman.Iftheterminalvelocityof,theballinsidewaterissameasitsvelocityjustbeforeentering,thewatersurface,thenthevalueofhisproportionalto:,(ignoreviscosityofair),[5Sep.03,2020(II)],,P,,19.,,20.,,21.,,22.,,ThefiguregivesexperimentallymeasuredBvs.Identifythe,r2,correctrelationbetweentheradiusRoftheparticle’sorbit,anditsperiodT:,[8April2019II],2,3,(a)T/Risaconstant,(b)T/Risaconstant,,fieldproducedbyamassdensityr(r)=,,(d)r=,,4,,(c)T/R2isaconstant,(d)TRisaconstant,34.Fromapointonahorizontal,ground,theyarefiredinallpossibledirections.Alongwirecarriesasteadycurrent.TheresistanceofawireisR.Astripofcopperandanotherofgermaniumarecooled,fromroomtemperatureto80K.Anairbubbleofradius0.1cmisinaliquidhavingsurface,tension0.06N/manddensity103kg/m3.2019I],,(a)120J,(b)130J(c)100J,(d)140J,19.2020II],,(a)4J,(c)6.5J,,(b)2.5J,(d)5J,,(a)4J,(b)2.5J,(c)6.5J,(d)5J,19.2020,II],(a)72min,(b)62min,(c)66min,(d)52min,32.(b)FromStoke'slaw,forceofviscosityactingona,sphericalbodyis,F=6phrv,henceFisdirectlyproportionaltoradius&velocity.Therelativeerrorinthedeterminationofthesurfacearea,ofasphereisa.Itisraised,suchthatifmakesanangleof30°fromthehorizontalas,shownandreleasedfromrest.Then,(a)E2=2E1,(b)E1>E2,,nucleiofequalmass,,(c)E2>E1,(d)E1=2E2,18.Thedensityofoilrelativetothatofwateris:,[9April2019(II)],(a)0.5,(b)0.8,(c)0.6,(c)0.7,10.Inordertoconstruct,anammetertoreaduptoacurrentof2A,theapproximate,valueoftheshuntresistanceshouldbe,[OnlineApril16,2018],(a)2.5×10–2W,(b)1.25×10–3W,(c)2.5×10–3W,(d)1.25×10–2W,111.Lightofwavelengthl=500nmis,incidentontheslits.(a)Whenacatapultisstretcheduptolengthl,thenthe,storedenergyinit=Dk.EÞ,,1æYAö,1,.Energyrequiredtoremoveallthree,electronsofLithium(Li)atomis[OnlineMay19,2012],(a)81.0eV,(b)135.4eV,(c)203.4eV,(d)156.6eV,16.Whichofthefollowingoptionsiscorrect?,[9Jan.(c)Here,sinqic/sinqiB=1.28,Asweknow,,sinqiB,m=,æp,ö,sinç-qiB÷,è2,ø,,l,=1´6600,2,,(QlR=6600Å),l=,,q,,0.25cm,,1,sinqic,,75.,,6600´2,3,,l=4400Å,(c)Relationbetweenintensities,I0,,(I0/2),,(unpolarised),,45°B,IR,,A,I,1I,æIö,Ir=ç0÷cos2(45°)=0´=0,è2ø,224,,76.Thevalueofnis______.(c)Ifn=no.The,maximumrotationalspeedofthedruminrevolutionsper,minute(rpm)toensurepropermixingiscloseto:,(Taketheradiusofthedrumtobe1.25manditsaxleto,behorizontal):,[OnlineApril10,2016],(a)27.0,(b)0.4,(c)1.3,(d)8.0,,(c),,Torque,Coupleand,AngularMomentum,,ax,is,,(a)constantspeed,(b)decreasingspeed,(c)increasingspeed,3,(d)speedwhichisthofthatoftherollerwhenthe,4,weightis0.4mabovetheground,32.Thedimensionsofangularmomentum,latentheatand,capacitanceare,respectively.Theangular,momentumoftheballatthehighestpointofthetrajectory,withrespecttothepointfromwhichtheballisthrownis,nearly(g=10ms–2),[OnlineApril19,2014],(a)1.73kgm2/s,(b)3.0kgm2/s,(c)3.46kgm2/s,(d)6.0kgm2/s,60.A,tuningforkoffrequency512Hzproducesfirstresonance,whenthetubeisfilledwithwatertoamark11cmbelow,areferencemark,neartheopenendofthetube.Startingwithasampleofpure,,66,,Cu,,,57.Inaregion,steadyanduniformelectricandmagneticfields,arepresent.Ashuntofresistance1Wisconnectedacrossa,galvanometerof120Wresistance.05,2020(I)],3,(a),mm,(b)10mm,100,1,(c),mm,(d)1mm,10,Foratransversewavetravellingalongastraightline,the,distancebetweentwopeaks(crests)is5m,whilethe,distancebetweenonecrestandonetroughis1.5m.05,2020(I)],(a)2200Hz,(b)550Hz,(c)1100Hz,(d)3300Hz,18.represents:,[OnlineApril9,2016],ABY,,(a)X=0,Y=1,(b)X=1,Y=1,(c)X=1,Y=0,(d)X=0,Y=0,81.Twoelectricdipoles,A,Bwithrespectivedipole,r,r,momentsdA=–4qaiânddB=–2qaiâreplacedon,thex-axiswithaseparationR,asshowninthefigure,,ThedistancefromAatwhichbothofthemproducethe,samepotentialis:,[10Jan.03,2020(I)],(a)0.81eV,(b)1.02eV,(c)0.52eV,(d)0.61eV,,27.Inthatcase,which,oneofthefollowingstatementsistrue?,[OnlineApril11,2015],(a)reflectedlightiscompletelypolarizedwithintensity,lessthan,,I0,2,,(b)transmittedlightiscompletelypolarizedwithintensity,lessthan,,I0,2,,(c)transmittedlightispartiallypolarizedwithintensity,I0,2,,(d)reflectedlightispartiallypolarizedwithintensity,I0,2,,71.(d)Given,,Resistanceofgalvanometer,G=100W,Current,ig=1mA,Agalvanometercanbeconvertedintovoltmeterby,connectingalargeresistanceRinserieswithit.,Totalresistanceofthecombination=G+R,AccordingtoOhm’slaw,V=ig(G+R),\10=1×10–3(100+R0),Þ10000–100=9900W=R0,ÞR0=9.9kW,109.Forwhichofthefollowingparticleswillitbemostdifficult,toexperimentallyverifythede-Broglierelationship?,[OnlineApril9,2014],(a)anelectron,(b)aproton,(c)ana-particle,(d)adustparticle,19.2019I],ëVrms(argon)û,(a)3.16,(b)0.32,(c)0.45,(d)2.24,15.Anidealbatteryof4VandresistanceRareconnectedin,seriesintheprimarycircuitofa

potentionmeteroflength,1mandresistance5W.Frictioncoefficient,betweentwoblocksis0.6.Theportionofthestring,between10kgblockandtheupperpulleyishorizontal.,Pulley,stringandconnectingrodsaremassless.Iftheobjectismovedwithaspeedof9,cms–1,thespeed(incms–1)withwhichimagemovesat,thatinstantis________.,[NASep.(c)Foruniformlyaccelerated/deacceleratedmotion:,,v2=u2±2gh,Asequationisquadratic,so,v-hgraphwillbeaparabolaPage33:P-24,,Physics,,v,att=0,h=d,2,,1®2:Vincreasesdownwards,h2®velocitychangesitsdirection,2®3:Vdecreasesupwards,,d,1,,3,collision,takes2,place,,v=,,Using,S=ut+,ÞS=0´t+,,12,gt,2,,12,gt,2,,Þ200=gt2,,Þt=,Inlast,,200,g,,[Q2S=100m],…(i),,1,s,bodytravelsadistanceof19m,soin,2,,æ1ö,çt–÷,è2ø,,distancetravelled=81,2,,1æ1ö,gçt–÷=81,2è2ø,2,,æ1ö,\gçt–÷=81´2,è2ø,81´2,æ1ö,Þçt–÷=,2,g,è,ø,,Þ,,u+2gh,H,,37.Theinstantaneousvalueofthee.m.f.,inducedinthewirewillbe,[2011RS],(a)3mV,(b)4.5mV(c)1.5mV(d)6.0mV,45.The,inductanceofsolenoidwillbeproportionalto:,[9April2019I],(a)L,(b)L2,(c)1/L2,(d),1/L,,29.Thetwocoilsare,concentricandareinthesameplane.Theinternalresistancer,of,eachcellis:,[10Apr.2020(I)],60.2019II],rcv,–,2,–1,(a)[LA],(b)[A],(c)[LTA],(d)[LT2]Page11:P-2,,Physics,,13.Aspringofforceconstant800N/mhasanextensionof5cm.,Theworkdoneinextendingitfrom5cmto15cmis,[2002],(a)16J,(b)8J,(c)32J,(d)24J,,th,,TOPIC2Energy,11.Acopperrodofcross-sectionalareaAcarriesauniform,currentIthroughit.Whentheparticleattains,zeroacceleration,thenitsvelocitywillbe:,[9Apr.II.,Ifthesetwomodifiedcapacitorsarechargedbythesame,potentialV,theratiooftheenergystoredinthetwo,would,be(E1referstocapacitors(I)andE2tocapacitors(II):,[12April2019I],(c),,62.,,63.,,64.,K1K2K3,E1,(a)E=(K+K+K)(KK+KK+KK,2,1,2,3,23,31,12,,(a)40mFand10mF,(b)60mFand40mF,(c)50mFand30mF,(d)20mFand30mF,Acapacitorwithcapacitance5mFischargedto5mC.Whenboth‘d’and‘h’aremuchsmaller,thantheradiusofearth,thenwhichoneofthefollowingis,correct?,[2005],h,3h,(a)d=,(b)d=,2,2,(c)d=h,(d)d=2h,25.Theheatgeneratedwillnow,be,[2005],(a)fourtimes,(b)doubled,(c)halved,(d)onefourth,103.Anotherbent,,3L,,is,2,connectedacrossAB(Seefigure).ABCisaplanelaminaoftheshapeofanequilateral,triangle.Ifthefrequency,incidentonthesurfaceisdoubled,boththeKmaxandV0,arealsodoubled.,Statement–2:Themaximumkineticenergyandthe,stoppingpotentialofphotoelectronsemittedfroma,surfacearelinearlydependentonthefrequencyofincident,light.,,Physics,,(a)Statement–1istrue,Statement–2istrue,Statement–,2isthecorrectexplanationofStatement–1.,(b)Statement–1istrue,Statement–2istrue,Statement,–2isnotthecorrectexplanationofStatement–1.,(c)Statement–1isfalse,Statement–2istrue.,(d)Statement–1istrue,Statement–2isfalse.,58.2020I],,(c)r=,,(a)1.35,,GM,2,,(d),,2GM,,9a,9a,3a,3a2,32.Speedoflightisc.,[2010],2,17.Thecandidatewillalsobehavingthe,optionofchangingdefaultquestionviewinglanguageanytimeduring,theexamination.,QUESTION:WillIbegivenroughsheetsformycalculationsduring,theCBTofJEE(Advanced)-2018?,ANSWER:Yes,youwillbegiven“ScribblePad”(containing,blanksheets,forroughwork)atthestartofeverypaperofJEE,(Advanced)-2018.Thetotalnumberof,divisionsonthecircularscaleis50.The,accuracyinthedeterminationofgis:,[2015],(a)1%,(b)5%,(c)2%,(d)3%,,T=2p,,63.AssumethatanelectricfieldE=30x2îexistsinspace.,ThenthepotentialdifferenceVA-VO,whereVOisthe,potentialattheoriginandVAthepotentialatx=2mis:,(a)120J/C,(b)–120J/C,[2014],(c)–80J/C,(d)80J/CPage265:P-256,,Physics,,20.Half-livesoftworadioactiveelementsAandBare20,minutesand40minutes,respectively.Thevelocityofwaterinariveris18km/hrnearthesurface.,Iftheriveris5mdeep,findtheshearingstressbetweenthe,horizontallayersofwater.If,AB=BC,andtheanglemadebyABwithdownward,verticalisq,then:,[9Jan.Accordingtocurieslaw,ÞM=999´,,10.Whenitpassesthroughtheoriginit,r,entersaregionhavinguniformelectricfieldE=-Ejˆwhich,,(a)a,,(b),,extendsuptox=d.TheadditionalresistanceR1inserieswith,it.A70kgmanleapsverticallyintotheairfromacrouching,position.Iftheangularspeed,oftheparticleis12rads–1,themagnitudeofitsangular,momentumaboutapointonthegroundrightunderthe,centreofthecircleis:,[OnlineApril11,2015],(a)14.4kgm2s–1,(b)8.64kgm2s–1,(c)20.16kgm2s–1,(d)11.52kgm2s–1,,a,,q,,62.,,63.,,64.,,x,,(a)va(1+cos2q),(b)va(1+cosq),(c)vacos2q,(d)va,Aparticleofmass2kgismovingsuchthatattimet,its,r,position,inmeter,isgivenbyr(t)=5iˆ-2t2ˆj.Ifthemassofeachchargeism,thenthe,electrostaticpotentialatthecentreoflinejoiningthemwill,æ1,ö,beç,=k÷.,è4pÎ0,ø,,[OnlineApril22,2013],,(a)2kmgtanq,,(b),,kmgtanq,,(c)4kmg/tanq,,(d),,kmg/tanq,,(,,),,1(R+r)Q,(c)4pe,0R2+r2,,(,,),,(R+r)Q,1,(b),4pe02R2+r2,,(,,(R-r)Q,1,(d),4pe02R2+r2,,(,,q,A,,q,B,,D,-q,,C,-q,,ur,E,urchanges,Vremainsunchanged,unchanged,Vchanges,Eremains,ur,bothEandVchange,ur,(d)EandVremainunchanged,28.ThefigureshowsacombinationoftwoNOTgatesanda,NORgate.,[OnlineMay26,2012],A,Y,B,,Thecombinationisequivalenttoa,(a)NANDgate,(b)NORgate,(c)ANDgate,(d)ORgatePage493:P-484,,92.,,93.,,Physics,,WhichoneofthefollowingistheBooleanexpressionfor,NORgate?,[OnlineMay19,2012],,A,,(a),,B,,(b)Y=A.B,,Y=A+B,,(c)Y=A.B,(d)Y=A,WhichlogicgatewithinputsAandBperformsthesame,operationasthatperformedbythefollowingcircuit?,A[OnlineMay7,2012],B,,(a)NANDgate,(b)ORgate,,94.,,95.,,Lamp,,A,,(b)NOTgate,(c)XORgate,96.,,InputB,,(a),,(d)ANDgate,TheoutputofanORgateisconnectedtoboththeinputs,ofaNANDgate.2020,I],(a),,21,34,,(b),,18,34,,(c),,17,54,,(d),,18,54,,(a),,3q,pÎ0d,,2,,(b),,23q,pÎ0d,,2,,(c),,3q,4pÎ0d,,2,,(d),,33q,4pÎ0d2Page247:P-238,,23.,,Physics,,Aparticleofmassmandchargeqisreleasedfromrestin,auniformelectricfield.Itistobelaunched,fromtheearth'ssurfaceoutintofreespace.Aparamagneticsampleshowsanetmagnetisationof6A/m,whenitisplacedinanexternalmagneticfieldof0.4Tata,temperatureof4K.2020I],(a)L«m,C«k,R«b,1,1,1,(b)L«,C«,R«,b,m,k,(c)L«k,C«b,R«m,1,(d)L«m,C«,R«b,k,Anemfof20Visappliedattimet=0toacircuitcontaining,inseries10mHinductorand5Wresistor.Alittlewaxisplacedonthe,unknownforkanditthenproduces2beats/sec.Thedensityofasolidmetalsphereisdeterminedby,measuringitsmassanditsdiameter.(c),89.(a)K=mwx,2,,w=,k2,,Þ,,2,,1,mw2A2,2,,A=Lq,,k1,k,=A22,m,m,,ÞA1k1=A2,,+A,,T,=AcoswtÞt=,2,2,\x=–Awhichisnotpossible,\1,2and3arecorrect.,,Þ,,ÞKmax=,,Asmaximumvelocitiesareequal,\A1,,1,1,k(A2-x2)=kx2,2,2,Here,A=amplitudeofSHM,x=displacementfrommeanposition,Þ,,ÞA2=2x2Þx=,,dy,pö,æ,v2=2=-0.1psinpt=0.1pcosçpt+÷,è,dt,2ø,\Phasedifferenceofvelocityofparticle1withrespectto,thevelocityofparticle2is,,19.,,T,,particleisatmeanpositionsovelocityis,4,,A1,=,A2,,Displacement,x=4(cospt+sinpt),,æsinptcosptö,=2´4ç,+,÷,è2,2ø,,=42(sinptcos45°+cosptsin45°),,k2,k1,,g,L,,ÞK=,,1g22,m.2019I],(a)10.00,(b)0.07,(c)14.14,(d)4.47,11.Thepercentage,strainisabout,[OnlineMay7,2012],(a)0.16%(b)0.32%(c)0.08%(d)0.24%,19.Speedofsoundis330m/sec:,[OnlineApril9,2016],(a)450Hz(b)540Hz(c)270Hz(d)648Hz,79.Aparticlegetsdisplacedby,Dr=2iˆ+3ˆj+4kˆmundertheactionofaforce,r,F=7iˆ+4ˆj+3kˆ.Theinternalenergyofarealgasiskineticas,wellaspotential.,[OnlineApril9,2013],(a)Statement-1isfalseandStatement-2istrue.,(b)Statement-1andStatement-2botharetrue.,Statement-2isthecorrectexplanationofStatement-1.,(c)Statement-1istrueandStatement-2isfalse.,(d)Statement-1andStatement-2botharetrue.,Statement-2isnotcorrectexplanationofStatement-1.,Cookinggascontainersarekeptinalorrymovingwith,uniformspeed.Thediameterofthewaterstreamatadistance2,×10–1mbelowthetapiscloseto:,[2011],(a)7.5×10–3m,(b)9.6×10–3m,(c)3.6×10–3m,(d)5.0×10–3m,39.Theheatenergy(inJ)deliveredbythe,enginetothelowtemperaturereservoir,inacycle,is,_______.,[NA7Jan.Aconstantvoltageisappliedbetweentwoendsofametallic,wire.AcircularholeofdiameterRiscutfromadiscofmassM,andradiusR;thecircumferenceofthecutpassesthrough,thecentreofthedisc.02,2020(II)],(a)[P2AT–2],(b)[PA–1T–2],(c)[PA1/2T-1],,9.,,(d)[P1/2AT-1],,Whichofthefollowingcombinationshasthedimension,ofelectricalresistance(Î0isthepermittivityofvacuum,andm0isthepermeabilityofvacuum)?,[12April2019I],(a),,m0,e0,,(b),,m0,e0,,(c),,e0,m0,,e0,(d)m,0,,10.Thepotential(involts)ofachargedistributionisgivenby,V(z)=30–5z2for|z|£1m,V(z)=35–10|z|for|z|³1m.,V(z)doesnotdependonxandy.2019II],,Given,E(ineV)=,,37.,,38.,,39.,,5v,3,,4,v,3,,3v,2,InaFrank-Hertzexperiment,anelectronofenergy5.6eV,passesthroughmercuryvapourandemergeswithan,energy0.7eV.Atime,dependenthorizontalforceF=ktactsontheblock,where,kisapositiveconstant.TheopticalpathlengthoflightrayfromAtoB,is:,[10Apr.Toincreasetherangeto10Athevalueofthe,requiredshuntis,[2003],(a)0.03W(b)0.3W,(c)0.9W,(d)0.09W,143.2020II],(a)19/13,(b)67/45,(c)40/27,(d)23/15,Cp5,38.(a)AccordingtoOhm'sLaw,I=,R,V,Ig=,R+G,where,Ig-Galvanometercurrent,G-Galvonometerresistance,IG,R,G,Þ,,ÞR(G+S)+GS=2S(R+G),ÞRG+RS+GS=2S(R+G),ÞRG=2S(R+G)-S(R+G),\RG=S(R+G),115.IfMisthemassoftherodthenitsmomentofinertia,aboutanaxispassingthroughAandperpendiculartothe,rodis:,[Sep.2019II],(a)15m,(b)202m,(c)5m,(d)102m,Aparticleismovingwithavelocityvr=K(yiˆ+xĵ),,whereKisaconstant.Itisthenbentintoacircularloopofnturns.C1has500turns,andaradiusof1cm.Valueof‘p’iscloseto:,[4Sep.Therespectivenumberofsignificantfiguresforthe,numbers23.023,0.0003and2.1×10–3are,[2010],(a)5,1,2,(b)5,1,5,(c)5,5,2,(d)4,4,2,75.06,2020(I)],A,Q1,,(a),,(a)F=,,s+,,(d),,16.Itssnapshotat,t=0isgiveninthefigure.,[12April2019I],,(a)1,3,5,.....,,3.,,(b),,4.,,5.,,6.,,7.,,8.,,Forthiswave,thephasefis:,p,(a)(b)p,(c)0,2,,(d),,p,2,,Asmallspeakerdelivers2Wofaudiooutput.(b)Thecoefficientsofkineticfrictionbetweentheobject,andtheincline,,But,amax=mg=0.2×10=2,F-8,=2,4,ÞF=16N,\,,1,1ö,æ,m=tanqç1-2÷Þm=1-2,ènø,n,,42.2019I],(a)4W,(b)8W,(c)12W,(d)2W,35.(a)ThemomentofinertiaofsolidsphereAaboutits,,Þ2I=2Mr2ÞI=,,2,MR2.,5,ThemomentofinertiaofahollowsphereBaboutits,2,2,diameterIB=MR.,3,,diameterIA=,,\IA<IB,,C,,125.(d)WhenradiusisdecreasebyDR,,,or,t=,,4pR2DRrL=4pT[R2-(R-DR)2],ÞrR2DRL=T[R2-R2+2RDR-DR2],ÞrR2DRL=T2RDR,,[DRisverysmall],,2T,rL,38.Atrainismovingonastraighttrackwithspeed20ms–1.,Itisblowingitswhistleatthefrequencyof1000Hz.The,percentagechangeinthefrequencyheardbyaperson,standingnearthetrackasthetrainpasseshimis(speed,ofsound=320ms–1)closeto:,[2015],(a)18%,(b)24%,(c)6%,(d)12%,80.Its,susceptibilityat300Kis:,[12Jan.Inaphysicalbalanceworkingontheprincipleofmoments,,when5mgweightisplacedontheleftpan,thebeam,becomeshorizontal.(a)Letthesmallesttemperaturedifferencebeq°Cthat,canbedetectedbythethermocouple,then,Thermoemf=(25×10–6)q,LetIisthesmallestcurrentwhichcanbedetectedbythe,galvanometerofresistanceR.,Potentialdifferenceacrossgalvanometer,IR=10–5×40,\10–5×40=25×10–6×q,Þq=16°C.,77.Theenergylostintheprocess,isp%oftheinitialenergy.Anotherwheel,,(a)Page94:P-85,,SystemofParticlesandRotationalMotion,,ofmomentofinertia3Iinitiallyatrestissuddenlycoupled,tothesameshaft.Capacitanceofthis,capacitoris:,[9Jan.Magnitudeofmagneticfield(inSIunits)atthecentreof,ahexagonalshapecoilofside10cm,50turnsand,m0I,is:,p,[Sep.AthinbaroflengthLhasamassperunitlengthl,that,increaseslinearlywithdistancefromoneend.Ndivisionsonthemainscaleofaverniercallipercoincide,with(N+1)divisionsofthevernierscale.2019II],I,,I,,(a),,(b),tO,,tO,,t,,tO,,21.,,t,,t,,tO,,t,,AseriesACcircuitcontaininganinductor(20mH),a,capacitor(120mF)andaresistor(60W)isdrivenbyan,ACsourceof24V/50Hz.Theenergydissipatedinthe,circuitin60sis:,[9Jan.ElectrostaticPotentialandCapacitance,,,,Topic3:ElectricDipole,ElectricFluxandGauss’sLaw,P-254–P-280,,Topic1:ElectrostaticPotentialandEquipotentialSurfaces,Topic2:ElectricPotentialEnergyandWorkDoneinCarryingaCharge,Topic3:Capacitors,GroupingofCapacitorandEnergyStoredinaCapacitor,P-281–P-311,,,,17.TwomolesofanidealgaswithC=aremixedwith3,3,V,,Cp4,molesofanotheridealgaswithC=.(a)Whenangleofprismissmall,,B,,Angleofdeviation,D=(m–1)A,,C,,Applyingsnell'slawat‘R’,µsinr2=1sin90°,...(i),Applyingsnell'slawat‘Q’,1×sinq=µsinr1,...(ii),Butr1=A–r2,So,sinq=µsin(A–r2),sinq=µsinAcosr2–cosA,From(1),2,cosr2=1–sinr2=1–,,Sincelb<lr,Þmr<mb,,82.GeandSidiodesstartconductingat0.3Vand0.7V,respectively.(a),A,B,,A,,79.Agalvanometercoilhas500turnsandeachturnhasan,averageareaof3×10–4m2.Twomassesmand,,105.A100kNforcestretchesitalongitslength.Theenergyoftheincidentphotonsis10eV,andonly10%ofitproducesphotoelectrons.(c)FromgraphequationofSHM,,0,2,,ForSHM,,dy,dt,,2,,y=sin2wt=,=,,p/w,,2p/w,,X=Acoswt,,3p/w,,3T,particleisatmeanposition.,4,\Acceleration=0,Force=0,(2)AtTparticleagainatextremepositionsoacceleration,ismaximum.,,(1)At,,µ-y,,1–cos2wt,2,,11,–cos2wt,22,,(3)Att=,,dy1,=´2wsin2wt=2wsinwtcoswt,dt2,=wsin2wt,,maximum.,Acceleration=0,(4)WhenKE=PE,,v=,,2,,dy,,2,,=2wcos2wtwhichisnot,dt2,proportionalto–y.Thenits,accelerationis,[2007],,(c),,(a),(c),,gsinq,2,,1-MR/I,gsinq,,1+MR2/I,,(b),(d),,gsinq,1+I/MR2,gsinq,1-I/MR2Page116:P-107,,SystemofParticlesandRotationalMotion,,106.Achargedparticleofmassmandchargeqtravelsona,circularpathofradiusrthatisperpendiculartoamagnetic,fieldB.TheotherchamberhasvolumeV2andcontains,idealgasatpressureP2andtemperatureT2.2020II],(a)24.2nm,(b)11.4nm,(c)35.8nm,(d)8.6nm,ThefirstmemberoftheBalmerseriesofhydrogenatom,hasawavelengthof6561Å.04,2020(II)],,(a)2:1,,(b)3:1,,(c)5:3,,(d)4:3,,42.Amasslesspistonofareaafloatsonthesurface,oftheliquid,coveringentirecross-sectionofcylindrical,container.Whatisthedistanceoftheparticle,,(,,14.,,constantacceleration(6.0iˆ+4.0ˆj)m/s2.Assumethattheduration,ofcollisionisnegligibleandthecollisionwiththeplateis,totallyelastic.,Thenthevelocityasafunctionoftimeandtheheightas,afunctionoftimewillbe:,[2009],v,,(a),,y,h,,t,,O,–v1,,t,,v,+v1,,(b),,O,–v1,,y,,t1,,2t1,,4t1,,t,,t,,O,,t,,t,,42.,,(y2–y1)m,,12,,+v1,,y,h,,t(s),,(d),12,,t,,2t1,,v,v1,,8,,(y2–y1)m,,t®8,,40.,,t(s),,12,,t1,,t,,(y2–y1)m,,(d),8,,O,,h,,t,,Aparachutistafterbailingoutfalls50mwithoutfriction.(b),,100,,30,,mgH,Usingconservationofenergy,,Totalenergyat100mheight,=Totalenergyat20mheight,,20,1,mv2+mgh,2,,æ12,ö,m(10×100)=mçèv+10´20÷ø,2,12,or,v=800orv=1600=40m/s,2,Note:,Lossinpotentialenergy=gaininkineticenergy,1,m´g´80=mv2,2,12,10´80=v,2,v2=1600orv=40m/s,46.Abodyofmass‘m’,acceleratesuniformlyfromrestto‘v1’,intime‘t1’.Then,theresistance,betweenanytwoverticesofthetriangleis:,[10Jan.Acrossthe,capacitorisaneonbulbthatlightsupat120V.Aconductingmetalcircular–wire–loopofradiusrisplaced,perpendiculartoamagneticfieldwhichvarieswithtimeas,-t,,B=B0et,whereB0andtareconstants,attimet=0.Thegapisfilledwiththreedielectric,materialsofequalthickness(seefigure)withdielectric,constantsK1=10,K2=12andK3=1(4)Thedielectric,constantofamaterialwhichwhenfullyinsertedin,abovecapacitor,givessamecapacitancewouldbe:,[10Jan.Thevalueof,uuruuur,3A1-2A2is:,[8April2020II],,)(,,(a)–106.5,4.,,(c)90°,6.,,[NASep.(c)AccordingtoFaraday’slawofelectromagnetic,induction,,df,e=andf=BAcoswt=Bpr2coswt,dt,d,2,2,Þe=-(prBcoswt)=prBsinwt(w),dt,m0I,m0Iö,æ,e,pwr2sinwtçQ=,B,\=,÷,è,2R,2Rø,39.Forlargen,(A,Bare,constants),[2018],,(a),20.,,B,(a)Ln»A+2,ln,,(b)Ln»A+Bln,,(c)L2n»A+Bl2n,,(d)L2n»l,,21.Anobjectisatadistanceof20mfromaconvexlensof,focallength0.3m.of,heatsourceheatreservoir,1m,28.Theresistanceofthe,leadwiresis6W.Asinthecaseofwater,the,meniscusshapeofsoapsolutionisalsoconcaveupwards.,71.When,anotherparallelcombinationofn2capacitorseachof,capacityC2ischargedbyasourceofpotentialdifference,V,ithasthesametotalenergystoredinitasthefirst,combinationhas.ThesecondengineBreceives,heatrejectedbythefirstengineandinturn,rejectstoa,heatreservoiratT3(=400K).Bsendsasonarsignalof500Hzto,detectAandreceivesareflectedsoundoffrequencyv.,Thevalueofviscloseto:,[12April2019I],(Speedofsoundinwater=1500ms–1),(a)504Hz,(b)507Hz,(c)499Hz,(d)502Hz,70.Thecoiliskeptinitiallyinavertical,positionanditcanrotatefreelyaroundahorizontal,diameter.Ifd=1Åandi=30°,Vshouldbeabout[2008],(h=6.6×10–34Js,me=9.1×10–31kg,e=1.6×10–19C),(a)2000V(b)50V,(c)500V(d)1000V,61.2019I],(a)M0L2T–4,(b)M2LT–4,(c)MLT–2,(d)M2L2T–2,,14.Whichofthefollowingstatementsiscorrect?,[OnlineApril15,2018],,1,1q2E2,mw2A2+,2,2k,2qE,(b)Thenewequilibriumpositionisatadistance:,k,fromx=0,qE,(c)Thenewequilibriumpositionisatadistance:,2k,fromx=0,22,1,221qE,(d)ThetotalenergyofthesystemismwA–,2,2k,32.The,respectivetemperaturecoefficientsoftheirseriesand,parallelcombinationsarenearly,[2010],a1+a2,a1+a2,,a1+a2,(a),(b)a1+a2,,2,2,a1a2,a,+,a,a,+,2,1a2,(c)a1+a2,,(d)1,a1+a2,2,2,44.Then,[2007],rurur2,rurur2,(a)v=BÉ/E,(b)v=E´B/B,rurur2,rurur,(c)v=BÉ/B,(d)v=E´B/E2,27.Ifthevalveis,suddenlyopened,thepressureandtemperatureofthegas,willbe:,[2011RS],T,P,PT,,T,(b)P,T,(c)P,,(d),,,2,2,22,Directionsforquestions47to49:Questionsarebasedon,thefollowingparagraph.,TwomolesofheliumgasaretakenoverthecycleABCDA,as,shownintheP-Tdiagram.,[2009],,(a),,5,,2×10,,A,,B,,D,,C,,300K,,500K,,P(Pa),1×10,,5,,T,,47.TwodeuteronsundergonuclearfusiontoformaHelium,nucleus.Whatisthe,rootmeansquarespeedofthemoleculesofthegasat,thattemperature?,[OnlineApril25,2013],(a)398m/s,(b)520m/s,(c)499m/s,(d)532m/s,20.Theenergyreleasedduringthisprocessis:(mass,ofneutron=1.6725×10–27kg,massofproton=1.6725×,10–27kg,massofelectron=9×10–31kg).,[2012],(a)0.51MeV,(b)7.10MeV,(c)6.30MeV,(d)5.4MeV,15.Ifthetheshold,4,wavelengthforthemetallicsurfaceisnlthenvalueofn,willbe_________.,[NASep.IfX<Y,thenwherewillbethe,newpositionofthenullpointfromthesameend,ifone,decidestobalancearesistanceof4XagainstY[2004],(a)40cm,(b)80cm,(c)50cm,(d)70cm,141.InauniformlychargedsphereoftotalchargeQandradius,R,theelectricfieldEisplottedasfunctionofdistance,fromthecentre,Thegraphwhichwouldcorrespondtothe,abovewillbe:,[2012],E(r),,E(r),,(a),,(b),r,,r,,E(r),,E(r),,(c),,(d),r,,r,,41.Asolidsphereisrotatinginfreespace.Ifastudent,makesanerrormeasuring±0.01Vwhilemeasuringthe,currentof5mAat300K,whatwillbetheerrorinthe,valueofcurrentinmA?,[2014],(a)0.2mA(b)0.02mA(c)0.5mA(d)0.05mA,65.(a)Inducedemf,,-di,eµ,dt,23.Ifthemagneticfieldofaplaneelectromagneticwaveis,givenby(Thespeedoflight=3×108m/s),,(,,),,é,xöù,15æ,B=100×10–6sinê2p´2´10çèt-÷øú,cû,ë,thenthemaximumelectricfieldassociatedwithitis:,[10Jan.Amixtureof2molesofheliumgas(atomicmass=4u),and,1moleofargongas(atomicmass=40u)iskeptat300Kin,acontainer.AparticlestartsfromoriginOfromrestandmoveswitha,uniformaccelerationalongthepositivex-axis.Atthe,sameinstantanotherbodypassesthroughx=0moving,inthepositivex-directionwithaconstantspeed.The,speed(v)ofthepointcharge,asafunctionof,instantaneousdistancerfromlinecharge,isproportional,to:,[8April2019II],,d,d,andx=,respectively.The,E,E,ratioofenergystoredinAandBisA.ThisquestionshasStatementIandStatementII.05,2020(I)],InR,6,4,2,,B,,C,,0,,A,,5,,(a)2:1:1,,10,,t,(yrs),,(b)3:2:1,,(c)2:1:3,(d)4:3:1,29.IfAisheatedupto180°CandBupto,,8.,,9.,,T°C,thenthenewlengthsarethesame.The,resistanceperunitlengthofthepotentiometerwireis,r=0.01W/cm.Itis,desiredtohaveanengineofefficiency60%.Theymove,incircularorbitsabouttheircentreofmasswithangular,velocitiesw1form1andw2form2.Thethermoe.m.f.ofathermo-coupleis25mV/°Catroom,temperature.Ifthecarisgoing,twiceasfasti.e.,120km/h,thestoppingdistancewillbe,[2004],(a)60m,(b)40m,(c)20m,(d)80m,Acar,movingwithaspeedof50km/hr,canbestoppedby,brakesafteratleast6m.Radiation,withwavelength6561Åfallsonametalsurface,toproducephotoelectrons.Itisbentatthemiddleby180°,andboththeendsaretwistedtogethertomakeashorterwire.,Theresistanceofthenewwireis[OnlineMay26,2012],(a)2R,(b)R/2,(c)R/4,(d)R/8,21.05,2020(II)],,onesideopenedlong,conductingwireloop,,C,I,,R,,v,,l,,r,,(a),,m0Ivl,4pRr,,(b),,m0Ivl,pRr,,m0Ivl,2m0Ivl,(d),pRr,2pRr,27.Aresistor‘R’and2µFcapacitorinseriesisconnected,throughaswitchto200Vdirectsupply.[Given:MassofPlanet=8×1022kg,,Radiusofplanet=2×106m,Gravitationalconstant,G=6.67×10–11Nm2/kg2],[10April2019II],(a)9,,(b)17,,(c)13,,(d)11,,56.Ifcisthevelocityoflight,themomentumis[2007],(a)hn/c(b)n/c,(c)hnc,(d)hn/c2,Thethresholdfrequencyforametallicsurfacecorresponds,toanenergyof6.2eVandthestoppingpotentialfora,radiationincidentonthissurfaceis5V.2020I],o,At40C,abrasswireof1mmradiusishungfromthe,ceiling.Thevalueofbiscloseto:,[Sep.Thecharges,onthetworingsare+qand-q.AB,,),,Y=AB.AB=AB+AB=AB+AB=AB,,A.B=Y+A=C,,=A×AB+AB×B,,A,,Y+A=C,00010,01010,10001,11100,88.Thecurrentrequired,tobepassedinasolenoidoflength10cmandnumberof,turns100,sothatthemagnetgetsdemagnetizedwhen,insidethesolenoid,is:,[2014],(a)30mA(b)60mA(c)3A,(d)6A,28.2019I],,(a)1.82eV,,(b)1.66eV(c)1.95eV,,(d)2.12eVPage445:P-436,,Physics,,33.Ifeachtubemovestowardstheotherataconstant,speedv,thentheemfinducedinthecircuitintermsofB,l,andvwherelisthewidthofeachtube,willbe[2005],,(d),,I1=I2=,,A,,B,v,,v,,X,C,,(a)–Blv,(b)Blv,(c)2Blv,(d)zero,48.ThepotentialofshellBis:,[2018],,séa2-b2ù,(a)Îêa+cú,0êë,ûú,,séa2-b2ù,(b)Îêb+cú,0êë,ûú,,séb2-c2ù,(c)Îêb+aú,0ëê,ûú,,séb2-c2ù,(d)Îêc+aú,0ëê,ûú,,14.(c)Tension,T=360N,Massofamanm=60kg,mg–T=ma,,F,,...(ii)Page58:P-49,,LawsofMotion,,45.Threecapacitors,eachof3mF,areprovided.Agalvanometerof40ohmresistance,capable,ofdetectingcurrentaslowas10–5A,isconnectedwith,thethermocouple.If,,Cp,Cv,,=gforthis,,t2,gasthenagoodestimatefortisgivenby:,1,[7Jan.Asoundsourceoffrequency,500Hzsendssoundwavesintothetube.Thetotaldistancecoveredast®¥is,[OnlineApril8,2017],,10s,,(a)–9300J,(b)12000J,(c)–4500J,(d)–12000J,28.Findthemobilityofthechargesiftheirdrift,velocityis1.1×10–3m/s.,[10Apr.Page85:P-76,,6,,Physics,,SystemofParticlesand,RotationalMotion,CentreofMass,Centreof,TOPIC1Gravity&Principleof,Moments,1.,,2.,,Thecentreofmassofasolidhemisphereofradius8cmis,xcmfromthecentreoftheflatsurface.Theheightof,wateris3mandthatofkerosene2m.06,2020(I)],1kW,+5V5ms,0V,,10nF,t,,m,,VO(t),,s,,55.,,(b)4mF,,5,,54.,,(a)8mF,,A,,R,A,,56.Thevalueofcurrenti1flowingfromAtoCinthecircuit,diagramis:,[Sep.Athintubesealedatbothendsis100cmlong.(a)HeliumisamonoatomicgasandOxygenisadiatomic,gas.,Forhelium,CV1=,,3,5,RandCP1=R,2,2,,Foroxygen,CV2=,g=,,5,7,RandCP=R,2,2,2,,N1CP1+N2CP2,N1CV1+N2CV2,,Cv=,,1,fR;f=degreeoffreedom,2,ForgasA(diatomic),f=5(3translational+2rotational),,5,7,n.Itisbecausethewaterin,betweenformscylindricalsurfaceonthesidethatgives,risetolowerpressureinthewaterincomparisonto,atmosphere.Ayoung’sdouble-slitexperimentisperformedusing,monocromaticlightofwavelengthl.Annpntransistoroperatesasacommonemitteramplifier,,withapowergainof60dB.Ablockstartsmovingupaninclinedplaneofinclination,30°withaninitialvelocityofv0.Thespecificheatcapacityofametalatlowtemperature,(T)isgivenas,3,,æTö,Cp(kJK-1kg-1)=32ç,è400÷ø,A100gramvesselofthismetalistobecooledfrom20ºK,to4ºKbyaspecialrefrigeratoroperatingatroom,temperature(27°C).Whatisthepositionandnatureofimageformedbylens,combinationshowninfigure?Ifatorqueof1.5Nmisrequired,tokeepthiscoilparalleltoamagneticfieldwhenacurrent,of0.5Aisflowingthroughit,thestrengthofthefield(inT),is__________.,[NASep.06,2020(I)],,(b)p®n+e++v,(c)n+p®d+g,(d)e++e–®g,8.,,FindtheBindingenergyperneucleonfor120,50Sn.Massof,protonmp=1.00783U,massofneutronmn=1.00867Uand,massoftinnucleusmSn=119.902199U.,(take1U=931MeV),[Sep.Whenbothcylindersare,connectedthroughapipeofnegligiblevolumeveryclose,tothebottom,theliquidflowsfromonevesseltotheother,untilitcomestoequilibriumatanewheight.Assumingthegastobeidealtheworkdoneonthegasin,takingitfromAtoBis,(a)300R,(b)400R(c)500R,(d)200R,48.Inthegivencircuit,chargeQ2onthe2µFcapacitor,changesasCisvariedfrom1µFto3µF.2019II],(a)R=0.001r,(b)R=1000r,(c)R=2r,(d)R=r,56.Itisfilledwithadielectric,whichhasadielectricconstantthatvariesask(x)=K(1+,ax)where‘x’isthedistancemeasuredfromoneofthe,plates.Themomentofinertiaofthesystemaboutthe,N,ma2,lineEXperpendiculartoEGintheplaneofEFGis,20,whereNisaninteger.Whatisthemagnitudeofthechangein,velocityoftheparticle,whenitmovesthroughanangleof,60°aroundthecentreofthecircle?,[OnlineApril10,2015],(a),,(b)zero,,103m/s,,(c)102m/s,(d)10m/s,44.Itundergoespartial,reflectionandrefraction.2019I],,IC,C,,RB,B,,56.,,(a)2.5×104,2.5×106,(b)5×104,5×106,(c)5×104,5×105,(d)5×104,2.5×106,53.Whentheblocksarereleased,theyhave,initialvelocityofv1andv2asshown.Inthisexperimenttimefor100oscillationsis,measuredbyusingawatchof1secondleastcountandthe,valueis90.0seconds.The,workdonebythegaswhenitstemperaturedoubles,isobaricallywillbe:,[OnlineApril9,2014],,C,,V02V,0,,3P0V0,9P0V0,9P0V0,(b),(c),(d),nR,2nR,2nR,4nR,45.(a)Theconductivityofsemiconductor,s=e(heµe+hhµh),,E20=,,=1.6×10–19(5×1018×2+5×1019×0.01),=1.6×1.05=1.68,,DV,0.1,22.When,objectiskeptat1.25cminfrontofobjective,finalimageis,formedatinfinity.2019I],(a)20mA(b)100mA(c)0.4mA(d)63mA,87.Statement-1:AnucleushavingenergyE1decaysby,b–emissiontodaughternucleushavingenergyE2,but,theb–raysareemittedwithacontinuousenergyspectrum,havingendpointenergyE1–E2.,Statement-2:Toconserveenergyandmomentumin,b–decayatleastthreeparticlesmusttakepartinthe,transformation.,[2011RS],(a)Statement-1iscorrectbutstatement-2isnotcorrect.,(b)Statement-1andstatement-2botharecorrectand,statement-2isthecorrectexplanationofstatement-1.,(c)Statement-1iscorrect,statement-2iscorrectand,statement-2isnotthecorrectexplanationof,Statement-1,(d)Statement-1isincorrect,statement-2iscorrect.2019I],(a)5.1cm,(b)7cm(c)4cm,(d),9cm,25.Acircuitconnectedtoanacsourceofemfe=e0sin(100t),,p,between,4,theemfeandcurrenti.Theminimumenergy,forejectionofelectronfromitssurfaceis:(Plancksconstant,h=6.62×10–34J.s),[Sep.Theinstantaneous,accelerationofthesatelliteis:,[Sep.Ata,displacementxfrommeanposition,itspotentialenergyis,,E1=2Jandatadisplacementyfrommeanposition,its,potentialenergyisE2=8J.The,frequencyofthepianostringbeforeincreasingthetension,was,[2003],(a)(256+2)Hz,(b)(256–2)Hz,(c)(256–5)Hz,(d)(256+5)Hz,Atuningforkarrangement(pair)produces4beats/secwith,oneforkoffrequency288cps.Whatisthecorrectvalue,oftheresistance(inohm)?,Awheelisrotatingat900r.p.m.aboutitsaxis.(266.67)Hereworkdoneongasandheatsuppliedtothe,gasarezero.,LetTbethefinalequilibriumtemperatureofthegasinthe,vessel.,Totalinternalenergyofgasesremainsame.,\g=1+,,i.e.,u1+u2=u'1+u'2,or,n1CvDT1+n2CvDT2=(n1+n2)CvT,Þ(0.1)Cv(200)+(0.05)Cv(400)=(0.15)CvT,,Vrms=,,3RT,3R´(273+47),=,2,32,ÞT=20K,(c)Totaldegreeoffreedomf=3+2=5,,\,,26.,,Totalenergy,U=,,nfRT5RT,=,2,2,,2,,wheref=degreeoffreedom,f,,27,=,55,(C)Diatomicnon-rigidmolecules,f=7,,[QPM=dRT],,=,,25.,,Cv,,=1+,,25,=,33,(B)Diatomicrigidmolecules,f=5,,[AsRandTisconstant],gO2,,Cp,,\g=1+,,(a)Thespeedofsoundinagasisgivenbyv=,g,M,,3kT,R,,(A)Monatomic,f=3,,=,,\vµ,,vrms,,l,1,Þtµ,3kT,T,m,28.Ofthe,fourchoicesgivenaftertheStatements,choosetheone,thatbestdescribesthetwoStatements.,Statement-1:Shortwavetransmissionisachieveddueto,thetotalinternalreflectionofthee-mwavefroman,appropriateheightintheionosphere.,Statement-2:Refractiveindexofaplasmaisindependent,ofthefrequencyofe-mwaves.(b)LetthetwoforcesbeF1andF2andletF2<F1.Thechangeinthegravitational,,(a)71J,m1,,38.,,(b)1358J(c)–71J,m2,v1v2,,(d)1J,,Twohypotheticalplanetsofmassesm1andm2areatrest,whentheyareinfinitedistanceapart.Aftercollision,,(a),,thelstmassmoveswithvelocity,,v,,inadirection,3,perpendiculartotheinitialdirectionofmotion.2019I],(a)12cm,(b)16cm,(c)14cm,(d)18cm,97.(b)Truthtable®,TheoutputisofOR-gate,,A,,B,,A×B,,A+B,,1,,0,,1,,0,,0,,1,,0,,0,,1,,1,,0,,0,,1,,0,,1,,1,,0,,0,,0,,0,,1,,0,,0,,1,,1,,1,,0,,0,,W=(A×B)×(A+B)Q=W+A×B,,Q=x,,AB,,AB,,A.B,,0,0,,0,1,,1,1,,1,0,,0,1,,1,,0,,0,,1,,1,,1,,1,,0,,0,,1Page501:P-492,,Physics,,86.Forthistohappen,thefrequencyoftheradiowavesmustbeintherange:,[OnlineApril19,2014],(a)80-150MHz,(b)8-25MHz,(c)1-3MHz,(d)150-1500kHz,27.Abeadcanslidesmoothlyonthewire.,Whenthecircleisrotatingwithangularspeedwabout,theverticaldiameterAB,asshowninfigure,thebeadis,atrestwithrespecttothecircularringatpositionPas,shown.AslabissubjectedtotwoforcesF1andF2ofsame,uur,magnitudeFasshowninthefigure.Ifthecapacitanceofananocapacitorismeasuredinterms,ofaunit‘u’madebycombiningtheelectriccharge‘e’,,Bohrradius‘a0’,Planck’sconstant‘h’andspeedoflight,‘c’then:,[OnlineApril10,2015],,æhö,(c)ç2÷,èceø,,(a)u=,,e2h,a0,,(b)u=,,(c)u=,,e2c,ha0,,(d)u=,,hc,2,,ea0,e2a0,hc,,25.03,2020(I)],,12.,,(a)418s,,(b)245s,,(c)365s,,(d)348s,,(a)1.1×10–2H,,(b)1.1×10–1H,,5.5×10–5H,,6.7×10–7H,,(c),13.,,(a)RLcircuitwithR=1kWandL=10mH,,Aninductancecoilhasareactanceof100W.Abodystartsfromrestonalonginclinedplaneofslope,45°.IfDU1andDU2arethechangesininternal,energiesintheprocessesIandIIrespectively,then[2005],p,II,A,,B,,I,v,,(a)relationbetweenDU1andDU2cannotbedetermined,,7.,,(b),,DU1=DU2,,(c),,DU2<DU1,,(d)DU2>DU1,Whichofthefollowingisincorrectregardingthefirstlaw,ofthermodynamics?,[2005],(a)Itisarestatementoftheprincipleofconservationof,energy,(b)Itisnotapplicabletoanycyclicprocess,(c)Itdoesnotintroducestheconceptoftheentropy,(d)Itintroducestheconceptoftheinternalenergy,,TOPIC2,8.,,SpecificHeatCapacityand,ThermodynamicalProcesses,,Threedifferentprocessesthatcanoccurinanideal,monoatomicgasareshowninthePvsVdiagram.Ifthetelescope,isfocussedfordistinctvisiononascaledistant2mfrom,itsobjective,thenitsmagnifyingpowerwillbe:,[OnlineApril22,2013],(a)–4,(b)–8,(c)+8,(d)–2,–2,Atelescopeofaperture3×10mdiameterisfocusedon,awindowat80mdistancefittedwithawiremeshofspacing,2×10–3m.ThepointOismidwaybetweenthetwo,bridges.Theworkdownbythegasalongthepathabcis:,[12Apr.Arectangularsolidboxoflength0.3misheld,horizontally,withoneofitssidesontheedgeofa,platformofheight5m.Afterthecollision,theymovealongtheindicated,directionswithspeedsv1andv2,respectively.Theangularfrequencyofthedampedoscillatorisgiven,æk,r2ö,÷wherekisthespringconstant,m,by,w=ççm4m2÷ø,è,,isthemassoftheoscillatorandristhedampingconstant.,,r2,is8%,thechangeintimeperiod,mk,comparedtotheundampedoscillatorisapproximately,asfollows:,[OnlineApril11,2014],,Iftheratio,,(a)increasesby1%,,(b)increasesby8%,,(c)decreasesby1%,,(d)decreasesby8%,,80.2019I],R,2R,(a)2+1,(b),2+1,(c),,R,,(d),,2R,,2-1,2-1,12.Apersonstandingonanopengroundhearsthesoundof,ajetaeroplane,comingfromnorthatanangle60ºwith,groundlevel.OpticalFibre,P.Atwhatdepthisthebubblebelowthesurfaceof,theliquid?Surfaceofcertainmetalisfirstilluminatedwithlightof,wavelengthl1=350nmandthen,bylightofwavelength,l2=540nm.of,Temp.WhenanAC,signaloffrequency1000Hzisappliedtothecoil,theapplied,voltageleadsthecurrentby45°.02,2020(I)],(a)T:Largeretentivity,smallcoercivity,(b)P:Smallretentivity,largecoercivity,(c)T:Largeretentivity,largecoercivity,(d)P:Largeretentivity,largecoercivity,18.,,2,2,s,s,(c)2s,(d),3,3,12.Iftheincidentfrequencyisincreasedto3n,the,maximumvelocityoftheejectedphotoelectronswillbe:,[OnlineApril8,2017],(a)lessthan3v,(b)v,(c)morethan3v,(d)equalto3v,45.FromauniformcirculardiscofradiusRandmass9M,a,R,isremovedasshowninthefigure.,3,Themomentofinertiaoftheremainingdiscaboutan,axisperpendiculartotheplaneofthediscandpassing,,throughcentreofdiscis:,[2018],,smalldiscofradius,,2R,3,R,,40,37,MR2(c)10MR2(d),MR2,9,9,106.Theterminal,speedofthecopperrodis:,[OnlineApril15,2018],,densityr(x)=r0,,39.Itexhibitstorsionaloscillations;Iftwomasses,eachof'm'areattachedatdistance'L/2'fromitscentreon,bothsides,itreducestheoscillationfrequencyby20%.,Thevalueofratiom/Miscloseto:,[9Jan2019,II],(a)0.77,(b)0.57,(c)0.37,(d)0.17,Asilveratominasolidoscillatesinsimpleharmonicmotion,insomedirectionwithafrequencyof1012/sec.Theworkdonebythegasintheprocess,is,[OnlineMay19,2012],,P,,(b),,D,,A,,(c)10.5%,,(a)300K,(b)800K(c)500K,(d)1000K,37.Massperunitareaofacirculardiscofradiusadepends,onthedistancerfromitscentreass(r)=A+Br.The,momentofinertiaofthediscabouttheaxis,perpendicular,totheplaneandpassingthroughitscentreis:,[7Jan.2019I],K1+K2,(a),(b)K1+K2,2,2K1+3K2,K1+3K2,(c),(d),5,4,25.Thepulleyhasmassm,andradiusR.Thevalueofxis,x,______.,[NASep.[5Sep.Thecurrentleads,thevoltageby45°.Alsoshiftingtheoriginoftimebackwardsby1,sec,thatistot=0sec.,y=0.1sin(2p(t–1)+4(x–2)),(c)Weightofthebody,,T(upthrust),,F,43,W=mg=prrg(viscous,3,force),,r,,33,4,2Mg=mg´+mg´,54,5,,\maximumacceleration=,,43,prsg,3,,W(weight),,Whenthebodyattainsterminalvelocitynetforce,actingonthebodyiszero.(c)Given:Magneticmoment,M=6.7×10–2Am2,Magneticfield,B=0.01T,Momentofinertia,I=7.5×10–6Kgm2,,MR23,I2=MR+,=MR2,2,2,Axisofrotation,2,,Timeperiod,T=2p,,B2´2,2´B1´3,,41.ofcollisionincreasesso,relaxationtimedecreases.,(d)Specificheatofgasatconstantvolume,,nofgasmolecules,,34.,,5,R,5,7,=2=,B,B,C,=,R,\,HenceC,7,v,7,v,2,R,2,CvA,,35.2019I],(a)350J,(b)374J(c)748J,(d)700J,,(a)DQA<DQB,DUA<DUB,(b)DQA>DQB,DUA>DUB,(c)DQA>DQB,DUA=DUB,(d)DQA=DQB;DUA=DUB,23.Apowertransmissionlinefeedsinputpowerat2300Vtoa,stepdowntransformerwithitsprimarywindingshaving,4000turns,givingtheoutputpowerat230V.Theminimumvelocity(inms-1)withwhichacardrivermust,traverseaflatcurveofradius150mandcoefficientoffriction,0.6toavoidskiddingis,[2002],(a)60,(b)30,(c)15,(d)25,,(c)Page54:P-45,,LawsofMotion,,Þ40-0=2(a)0.2Þa=100m/s2,\F=ma=0.2´100=20N,ÞN-mg=20ÞN=20+2=22N,Note:,Whand+Wgravity=DK,,mv,,L–2nr,,mv,,9.,,(a)Fromquestion,,Massofbody,m=5kg,Velocityatt=0,,,ÞF(0.2)+(0.2)(10)(2.2)=0ÞF=22N,14.BindingenergyofanelectroninLi+ioninground,stateis75.6eV.(b)Comparingthegivenequationwithstandard,mAc,modulatedsignalwaveequation,m=Acsinwct+,2,mAc,cos(wc+ws)t,cos(wc–ws)t–,2,Ac,2,<10Þm<(modulationindex),2,3,Ac=30,wc–ws=200p,wc+ws=400p,m,,Þfc=150,fs=50Hz.,24.2020I],(a)22mm,(b)12mm,(c)2mm,(d)33mm,87.Aparallelplatecapacitorwithairbetweentheplateshas,capacitanceof9pF.TheMisgivenby:[12Jan2019,I],,(a),,41.,,(a),,mæθ0+θ1ö,ç,÷,2èθ0-θ1ø,,(b),,47.,,æθ-θö,mç01÷,èθ0+θ1ø,,æθ+θö,mæθ0-θ1ö,mç01÷,ç,÷,(d),2èθ0+θ1ø,èθ0-θ1ø,Asimpleharmonicmotionisrepresentedby:,,(c),42.,,48.,,y=5(sin3pt+3cos3pt)cm,Theamplitudeandtimeperiodofthemotionare:,[12Jan2019,II],3,s,2,3,2,(c)5cm,s,(d)5cm,s,2,3,Asimplependulumoflength1misoscillatingwithan,angularfrequency10rad/s.Then,thedecay,constant(perminute)is,[2003],(a)0.4ln2,(b)0.2ln2,(c)0.1ln2,(d)0.8ln2,61.(d),3,=,5,,EDmc2,=,Dt,Dt,massofthefuelconsumedperhourinthereactor,,DmP,109,=2=,=4´10-2gm,8,2,Dtc,(3´10),12.Ifthesideofanothercubeofthesamematerial,is,20cm,thenundersimilarconditionsasabove,the,displacementwillbe:,[OnlineApril15,2018],F,,F,(a)1.00cm,(c)0.37cm,,(b)0.25cm,(d)0.75cmPage141:P-132,,10.,,11.,,12.,,Physics,,Athin1mlongrodhasaradiusof5mm.Amassof50gofwaterinaclosedvessel,with,surroundingsataconstanttemperaturetakes2minutesto,coolfrom30°Cto25°C.Itisoscillatingalongx-directionabout,itsequilibriumposition,takentobeatx=0,withan,amplitudeA.Aonemetrelong(bothendsopen)organpipeiskeptina,gasthathasdoublethedensityofairatSTP.Atresonancethevoltageacross,Lis,[2006],–2,(a)2.5×10V,(b)40V,(c)250V,(d)4×10–3V,Aninductor(L=100mH),aresistor(R=100W)anda,battery(E=100V)areinitiallyconnectedinseriesas,showninthefigure.Thekineticenergyoftheejectedphotoelectronswas,foundtobe1.68eV.Anexperimentisperformedtoobtainthevalueof,accelerationduetogravitygbyusingasimplependulumof,lengthL.Dimensionsof,meaning,are,,1,wheresymbolshavetheirusual,moeo,[2003],,(b)[L-2T2],,(a)[L-1T],,(c)[L2T-2],(d)[LT-1],36.Itisobservedtohaveresonantfrequenciesof,420Hzand315Hz.Therearenootherresonant,frequenciesbetweenthesetwo.Whatisthefocallengthofitseyepiece?,[8Jan.Takingthe,4,atmosphericpressuretobeequalto10mheightofwater,column,thedepthofthelakewouldapproximatelybe,(ignorethesurfacetensionandtheeffectoftemperature):,[OnlineApril15,2018],(a)10.5m,(b)8.7m(c)11.2m,(d)9.5m,27.Thenaisequalto[2005],,(b)v(t),,v(t),,t,,t,,(c),,14.,,),,F0,mb,,(a),,13.,,-3jˆ+4ˆjN,,(,,30°,,60°,,4.9ms–2inhorizontaldirection,9.8ms–2inverticaldirection,,F0,mb,,(d)v(t),,t,t,11.Achargedparticleofmass‘m’andcharge‘q’movingunder,theinfluenceofuniformelectricfieldEiândauniform,r,magneticfieldBkfollowsatrajectoryfrompointPtoQas,showninfigure.(d)Given,Areaofcross-sectionofpipe,,A=10cm2,Lengthofpipe,l=20cm,M=,=,,m0N1N2A,l,,4p´10-7´300´400´100´10-4,0.2,,M=,,[(3l)2–(2l)2],2,,v,,RW,,m0N1N2A,l,,=2.4p×10–4H,47.(d)y=Asin(wt–kx)+Asin(wt+kx),y=2AsinwtcoskxPage241:P-232,,Physics,,Thisisanequationofstandingwave.Awaterfountainonthegroundsprinkleswaterallaround,it.(d)As,g=4p2,T2,Dg,DL,DT,So,,´100=,´100+2,´100,g,L,T,,61.Thegravitationalfieldatdistance‘3a’fromthe,centrewillbe:,[9April2019I],2,,(b),,GM,2,,(c),,GMm,GMm,GMm,GMm,(b)+,(c)(d),6,R,6,R,2R,2R,35.2020I]Page358:P-349,,ElectromagneticInduction,,(c),,(d),(a)56mV(b)28mV(c)48mV(d)36mV,Consideracircularcoilofwirecarryingconstantcurrent,I,formingamagneticdipole.Themomentofinertiaofthe,systemabouttheaxispassingperpendicularlythrough,thecentreoftherodis:,[10Jan.(b)MomentumofphotonofenergyEis=,,Eæ–Eö,2E,–ç,÷=,CèCø,C,Thisisequaltomomentumtransferredtothesurface.,68.02,2020(I)],,(a),,w,,(b),h,,10cm,,(a),,2w2,25g,,(b),,25w2,(c),2g,,5w2,2g,,2w2,(d),5g,,25.Twocoaxialsolenoidsaremadebywindingthininsulated,wireoverapipeofcross-sectionalareaA=10cm2and,length=20cm.Astudentmeasuresthefocallengthofaconvexlensby,puttinganobjectpinatadistance‘u’fromthelensand,measuringthedistance‘v’oftheimagepin.Thespeedofsoundinhelium(He)atthesame,temperaturewillbe(assumebothgasestobeideal),[2008],–1,–1,(a)1421ms,(b)500ms,(c)650ms–1,(d)330ms–1,Atwhattemperatureisther.m.svelocityofahydrogen,moleculeequaltothatofanoxygenmoleculeat47°C?,[2002],(a)80K,(b)–73K,(c)3K,(d)20K,,29.,,30.,,Consideragasoftriatomicmolecules.Thetime,dt,,21.,,takenbytheobject,tocometorest,wouldbe:[2011],(a)2s,(b)4s,(c)8s,(d)1s,Abodyisatrestatx=0.ThepointSisat4.333,seconds.2019I]Page301:P-292,,Physics,,e,,A,,B,,J,,Rh,6V,(a)0.4V,(b)0.3V,(c)0.6V,(d)0.5V,121.Thissurfaceseparatestwomediaof,refractiveindices1and1.34.Ablockofmassm=0.1kgisconnectedtoaspringof,unknownspringconstantk.2020(II)],(a)2.50´l04N,(b)5.15´l03N,(c)30.5´l04N,(d)10.2´l02N,23.Sevenidenticalcircularplanardisks,eachofmassMand,radiusRareweldedsymmetricallyasshown.Ifdensityofthe,materialofthesphereis1.6gcm–3,thedielectricconstant,oftheliquidis,[2010],(a)4,(b)3,(c)2,(d)1,18.If,ineachcase,the,4,speedofthecenterofmassatthebottomoftheincline,issame,theratioofthemaximumheightstheyclimbis:,[9April2019I],(a)4:3:2,(b)10:15:7,(c)14:15:20,(d)2:3:4,133.Aliquidofdensityriscomingoutofahosepipeofradius,awithhorizontalspeedvandhitsamesh.Tomop-cleanafloor,acleaningmachinepressesa,circularmopofradiusRverticallydownwithatotal,forceFandrotatesitwithaconstantangularspeed,aboutitsaxis.Whenanobjectiskeptat,adistance‘a’fromthelens-mirrorcombination,its,a,imageisformedatadistance,infrontofthe,3,combination.(c)Resistance,R=,A,2,llrl,R=r´=,[?Volume(V)=A?.],Al,V,Sinceresistivityandvolumeremainsconstanttherefore,%changeinresistance,DR2Dl,=,=2´(0.5)=1%,R,l,13.03,2020(II)],,(c),,X,E,,D,,3,2,,F,,G,B,,C,,76.Itmoves,withavelocityvˆjaftercollision,then,visgivenby:,[2Sep.Theangleoftheprism,fromtheabovedatais,[2012],(a)58.59degree,(b)58.77degree,(c)58.65degree,(d)59degree,71.Theratioofa-particlesemittedin,thethirdyeartothatemittedduringthesecondyearis0.3.,Howmanya-particleswereemittedinthefirstyear?,[OnlineMay7,2012],(a)3×1018,(b)3×1019,(c)5×1018,(d)7×1019,51.04,2020(I)],,Vstop(V),,Y,,C,,(6,V),,B(5.5,0),A,5,,14,,X,,f(10Hz),,(a)2.27eV,(b)2.59eV,(c)1.93eV,(d)2.10eV,25.Inacollinearcollision,aparticlewithaninitialspeedn0,strikesastationaryparticleofthesamemass.AthinsphericalconductingshellofradiusRhasacharge,q.(a)Given:No.ofturnsN=1000,Facearea,A=4cm2=4×10–4m2,Changeinmagneticfield,,DB=10–2wbm–2,Timetaken,t=0.01s=10–2sec,Emfinducedinthecoile=?,Applyingformula,,Inducedemf,e=,=,,-df,DBö,=Næç,÷Acosq,dt,èDtø,,1000´10-2´4´10-4,10-2,,2,,2,,f=B×A=Bldr,Þf=,,´p(0.3´10-2)2,,2[(0.2)+(0.15)],Onsolving,=9.216×10–11=9.2×10–11weber,22.2019II],(a)6.67×10–4Wb,(b)3.67×10–3Wb,(c)6.67×10–3Wb,(d)3.67×10–4Wb,14.Themagneticfluxthrough,aninfiniteplanethatcontainsthecircularcoiland,excludingthecircularcoilareaisgivenbyfi.The,magneticfluxthroughtheareaofthecircularcoilareais,givenbyf0.(a)Lowfrequenciescannotbetransmittedtolong,distances.2019I],(a)500keV(b)100keV(c)1keV(d)25keV,13.Amovingcoilgalvanometerhas150equaldivisions.Ifinap-njunctiondiode,asquareinputsignalof10Vis,appliedasshown,[2007],5V,,R2,,D3,,+–,R3,6V,(a)50mA,(b)100mA,(c)60mA,(d)25mA,ThisquestionhasStatement1andStatement2.Sotherewillbetimelagbetweentransmission,andreceptionoftheinformationsignal.Twofactoriesaresoundingtheirsirensat800Hz.Aman,goesfromonefactorytootherataspeedof2m/s.2019I],(a)2Wm,(b)4Wm(c)0.4Wm,(d)0.2Wm,18.ExpressionfortimeintermsofG(universalgravitational,constant),h(Planck'sconstant)andc(speedoflight)is,proportionalto:,[9Jan.05,2020(I)],,isgivenasv.Find,thespeedofthebusifspeedofthesoundis330ms–1.,[Sep.Theareaof,thebaseofbothvesselsisSbuttheheightofliquidinone,vesselisx1andintheother,x2.Heatissuppliedtothecylindersuchthatthetemperatureremainsconstantbutnmolesofthediatomicgasget,convertedintomonoatomicgas.Aftercollision,thefirstmassisstopped,completelywhilethesecondonesplitsintotwoparticles,eachofmass‘m’,whichmoveatangle45°withrespectto,theoriginaldirection.,[9April2019II],Thespeedofeachofthemovingparticlewillbe:,(a),,2v,,(b)22v,,(c)v/(22),(d)v/2,72.Hence,,,Carrierwave,,Amplitudemodulatedwave,23.InaYoung’sdoubleslitexperiment,thetwoslitsactas,coherentsourcesofwaveofequalamplitudeAand,wavelengthl.Theresultantelectricfieldat,pointOisperpendiculartothehypotenuse,thenQ1/Q2is,proportionalto:,[Sep.Att=0,thereisnonucleusB.ForanRLCcircuitdrivenwithvoltageofamplitudevmand,frequencyw0=,,1,,thecurrentexhibitsresonance.(Graphsare,schematicandnotdrawntoscale),[OnlineApril9,2016],a,,(a),v,t,v,,(b),,a,,47.Atroomtemperatureadiatomicgasisfoundtohavean,r.m.s.speedof1930ms–1.ThefigureshowsaYoung’sdoubleslitexperimentalsetup.,Itisobservedthatwhenathintransparentsheetof,thicknesstandrefractiveindex¼isputinfrontofoneof,theslits,thecentralmaximumgetsshiftedbyadistance,equaltonfringewidths.Anelectromagneticwaveoffrequencyv=3.0MHz,passesfromvacuumintoadielectricmediumwith,permittivityÎ=4.0.Then,[2004],(a)wavelengthishalvedandfrequencyremains,unchanged,(b)wavelengthisdoubledandfrequencybecomeshalf,(c)wavelengthisdoubledandthefrequencyremains,unchanged,(d)wavelengthandfrequencybothremainunchanged.,45.Alargenumberof,1mFcapacitorsareavailablewhichcanwithstanda,potentialdifferenceofnotmorethan300V.(c)Kineticenergyofasystemofparticleiszeroonly,whenthespeedofeachparticlesiszero.AfterabsorbingaslowlymovingneutronofmassmN,(momentum»0)anucleusofmassMbreaksintotwo,nucleiofmassesm1and5m1(6m1=M+mN)respectively.,IfthedeBrogliewavelengthofthenucleuswithmassm1,isl,thedeBrogliewavelengthofthenucleuswillbe[2011],(a)5l,(b)l/5,(c)l,(d)25l,DIRECTIONS:Questionsnumber17-18arebasedonthe,followingparagraph.,AnucleusofmassM+Dmisatrestanddecaysintotwodaughter,92U,,235,,M,each.ThisquestionhasStatement-1andStatement-2.(d),,2r2(r-s)g,9,h,,Asincaseofupwardmotionupwardforceistwiceits,effectiveweight,therefore,itwillmovewithsame,speed10cm/s,,20.04,2020(II)],(a)22,(c)2,78.Thevalueoftanfis:(electron,speedismuchsmallerthanthespeedoflight),[OnlineApril11,2014],(a)0.16,(b)0.22,(c)0.25,(d)0.28,51.(b)Thechangeintimeperiodcomparedtotheundamped,oscillatorincreasesby8%.,A=,,l',,l,,Case(ii)childstanding,,80.,,Case(i)childsitting,,0.9A0=A0e,,...(i),,A0,=Aee-kt,and,1000,,...(ii),,Dividing(i)by(ii)andsolving,weget,t=20s,77.(b)Theworkdone,dW=Fdscosq,Theanglebetweenforceanddisplacementis90°.,Thereforeworkdoneiszero.,×,,×,,×,,×,,×,,F,×,,×,,S,,32.Notethattheforcesexertedonthediskare,exertedalongthecircumferenceofthedisk,andthetotal,forceexertedonitscenteronly.,Letusassumethattheshearingstressalongtheside,surfaceofthediskisuniform,then,,F=,,=2.3×106N/m2,,(c),,Bulkmodulus,K=,,K=,,Þ,,dFmax=,,ò,,smaxdA=smax,,surface,,ò,,dA,,surface,,æDö,=òsmax.A=smax.2pç÷h,è2ø,,volumetricstress,volumetricstrain,,8æ1,-2ö,-2,=3.5´10´ç´10÷´0.3´10´2p,è2,ø,,=3.297´104;3.3´104N,,mg,ædVö,aç,÷,èVø,,1,Bulkmodulus,Asbulkmodulusisleastforethanol(0.9)andmaximumfor,mercury(25)amongehtanol,mercuryandwater.2019,I],1.535,1.530,,n2,,1.525,1.520,1.515,1.510,,400,,500,,600,,700,,l(nm),,Dm,,(a),,Dm,,400500600700,,l(nm),,73.Themagnitude,ofthemagneticinductionalongitsaxisis:,[2011],(a),,60.,,(d),,m0I,,2p2R,,m0I,2pR,,(b),,(c),,m0I,4pR,,(d),,m0I,,p2R,,Twolongparallelwiresareatadistance2dapart.02,2020(I)],(a)Inverted,realandmagnified,(b)Erect,virtualandmagnified,(c)Erect,virtualandunmagnified,(d)Inverted,realandunmagnified,,4.,,Aconcavemirrorforfaceviewinghasfocallengthof0.4m.,Thedistanceatwhichyouholdthemirrorfromyourface,inordertoseeyourimageuprightwithamagnificationof,5is:,[9April2019I],(a)0.24m,(b)1.60m(c)0.32m,(d)0.16m,Apointsourceoflight,SisplacedatadistanceLinfront,ofthecentreofplanemirrorofwidthdwhichishanging,verticallyonawall.ConsideracylinderofmassMrestingonaroughhorizontal,rugthatispulledoutfromunderitwithacceleration‘a’,perpendiculartotheaxisofthecylinder.2020I],Attimet=0magneticfieldof1000Gaussispassing,perpendicularlythroughtheareadefinedbytheclosed,loopshowninthefigure.Therefractiveindexofthe,materialoflensif:,[OnlineApril15,2018],,Fig.Theenergyrequiredtoremovetheelectronfromasingly,ionizedHeliumatomis2.2timestheenergyrequiredto,removeanelectronfromHeliumatom.2019II],,32.,,2v,v,3,v,(a),(b),(c)v,(d),3,2,2,Acarisstanding200mbehindabus,whichisalsoatrest.,Thetwostartmovingatthesameinstantbutwithdifferentforwardaccelerations.ATVtransmissiontowerhasaheightof140mandthe,heightofthereceivingantennais40m.Inthelastsbeforehittingtheground,itcoversa,2,distanceof19m.03,2020(II)],(a)1.1eV,(b)2.0eV,(c)1.5eV,(d)3.1eV,,6.,,Boththediodesusedinthecircuitshownareassumedto,beidealandhavenegligibleresistancewhentheseare,forwardbiased.Whichofthefollowingstatementsis,correct?,[OnlineApril8,2017],(a)Leftarmislongerthantherightarm,(b)Boththearmsareofsamelength,(c)Leftarmisshorterthantherightarm,(d)Everyobjectthatisweighedusingthisbalance,appearslighterthanitsactualweight.,13.Whatwillbetheresistanceof100W,and200Vlampwhennotinuse?,[2005],(a)20W,(b)40W,(d)400W,(c)200W,104.(Trajectoryshownis,schematicandnottoscale),[9Jan.Aparallel,beamoflightisincidentonthelens.i.e.,,,\A=,19.[Take,densityofwater=103kg/m3],[10April2019(II)],(a)46.3kg(b)87.5kg(c)65.4kg,(d)30.1kg,8.A2mWlaseroperatesatawavelengthof500nm.fromeq.Then,,themaximumspeed(inm/s)is,[2006],(a),,3,,(b),,1,,(d)2,2,2,44.Abodyofmassm=3.513kgismovingalongthex-axis,withaspeedof5.00ms–1.Ifthefrequencyoffork1is200Hz,thenwhatwas,theoriginalfrequencyoffork2?,[2005],(a)202Hz(b)200Hz(c)204Hz(d)196Hz,Atuningforkofknownfrequency256Hzmakes5beats,persecondwiththevibratingstringofapiano.Themassofthenucleusis:,[12Jan.Whichofthefollowingoptioniscorrect?,[7Jan.2019I],8.,,(,,),,1ˆˆ,ai-k,(b),2,,(c),,(,,),,(d),,1,aˆj-iˆ,2,,(,,),,(,,),,1,aˆj-kˆ,2,,9.,,(,,),,én-1ù,(b)cos-1ê,ën+1úû,,én2-1ù,én-1ù,(c)sin-1ê2ú,(d)sin-1ê,n,+,1,ën+1úû,ë,û,r,r,LetA=(iˆ+ˆj)andB=(iˆ-ˆj).2020(II)],Process,Condition,(I)Adiabatic,(A)DW=0,(II)Isothermal,(B)DQ=0,,(a)32,,(III)Isochoric,,(b)326,,(c)128,,(d),,(a),,(b),,(c),,(d),,14.Theresistance,2,ofnewwirewillbe:,[OnlineApril9,2017],(a)1600W(b)400W(c)200W,(d)100W,17.AchargeQisdistributedoverthreeconcentricspherical,shellsofradiia,b,c(a<b<c)suchthattheirsurface,chargedensitiesareequaltooneanother.,Thetotalpotentialatapointatdistancerfromtheir,commoncentre,wherer<a,wouldbe:,[10Jan.(b)Electromagnetshouldbeamenabletomagnetisation,&demagnetization.,\Materialssuitableformakingelectromagnetsshould,havelowretentivityandlowcoercivityshouldbelow.,37.04,2020(I)],x=-,,4q,,(a)increaseby,,3q2,4pe0d,,(b)increaseby,,2q2,3pe0d,,(c)decreaseby,,q2,4pe0d,,(d)decreaseby,,4q2,3pe0d,,–q,,+r/r,(a)vµe0,,(b)vµ,,ærö,lnç÷,èr0ø,,ærö,ærö,(c)vµlnç÷,(d)vµç÷,r,è0ø,èr0ø,37.TakingR=8.0JK–1mole–1,1atm=105Paand,NAvogadro=6×1023mole–1,themeandistancebetween,moleculesofgasinanevacuatedvesselwillbeofthe,orderof:,[OnlineApril9,2014],(a)0.2mm,(b)0.2mm,(c)0.2cm,(d)0.2nm,,(c)a=,,55.,,56.,,57.2020I],(a)DirectionofIRremainsunchangedandVRismaximum,att=0.5,(b)Att=0.25directionofIRreversesandVRismaximum,(c)DirectionofIRremainsunchangedandVRiszeroatt=0.25,(d)Att=0.5directionofIRreversesandVRiszero,10.Outofthefollowingdifferentorientationswhichonecorrespondstostableequilibrium?,[OnlineApril9,2017],Z,Z,,(a),a,,X,,a,,78.,,mII,(a)Repulsiveandequaltoo12,2p,moI1I2,(b)Attractiveandequalto,3p,moI1I2,(c)Repulsiveandequalto,4p,(d)Zero,AcircularcoilhavingNturnsandradiusrcarriesacurrent,I.Aforceactsona2kgobjectsothatitspositionisgiven,asafunctionoftimeasx=3t2+5.FromasolidsphereofmassMandradiusR,aspherical,portionofradiusR/2isremoved,asshowninthefigure.,TakinggravitationalpotentialV=0atr=¥,thepotentialat,thecentreofthecavitythusformedis:,(G=gravitationalconstant),[2015],,(a),,(a),,2GM,,R,,andtheothermass,inacircularorbitof,2,,3R,.Achargedparticlegoingaroundinacirclecanbeconsideredtobeacurrentloop.Whichofthefollowinggraphs,mostcloselyrepresentstheelectricfieldE(r)producedby,theshellintherange0£r<¥,whereristhedistancefrom,thecentreoftheshell?,[2008],,O,,r,,R,,(d),O,,R,,r,,47.(c),,l,,D,,n,,A,,2,l/,,C,,O,B,n',,Inn'=M.IduetothepointmassatB+,M.IduetothepointmassatD+,M.IduetothepointmassatC.,m,,A,D,,ælö,Inn'=mç,è2÷ø,,2,,ælö,+mç,è2÷ø,,2,,+m,,O,,(2l),,2,2,,B,,C,n,,m,,1,,DB,2a,a,=,=,2,2,2,Byparallelaxestheorem,momentofinertiaofplateabout,anaxisthroughoneofitscorners.,,Also,DO=,,2,,Ma2Ma2,æaö,Imm'=Inn'+Mç,=,+,÷,è2ø,6,2,2,,2,,Ma+3Ma,2,=Ma2,6,3,121.AcapacitorCisfullychargedwithvoltageV0.(c)ForC.B.configurationr?Ifthecoefficientoffriction,,(a)Mg,,(b)Ma,,(c),,betweentheboxandtheflooris,,(a),,3,,(b),,FA,3,,theratio,is,FB,5,[OnlineApril19,2014],,5,3,,2,3,(d),3,2,53.2020I],,(a),,(b),,(c),,(d),,16.Rcanbe,determinedbytheequation:,[8Jan.Whatwillbe,therotationalspeed(inrpm)oftheplatformwhenthe,personreachesitscentre__________.,[NASep.05,2020(I)],(a)87.5ºC,(b)83.3ºC,(c)119.2ºC,(d)38.4ºC,Thespecificheatofwater=4200Jkg–1K–1andthelatent,heatofice=3.4×105Jkg–1.Initiallythebodyisatrest.Then,itsperiodictime,insecondsis:,[10Jan2019,II],(a),,y,,(a),,O,,4p,3,,(b),,3,p,8,,8p,7,(d),p,3,3,Acylindricalplasticbottleofnegligiblemassisfilled,with310mlofwaterandleftfloatinginapondwithstill,water.Mobilityofelectronsinasemiconductorisdefinedasthe,ratiooftheirdriftvelocitytotheappliedelectricfield.Amultimeter,with+veand–veterminals,isused,tomeasureresistancebetweendifferentterminalsof,transistor.IfanelectronjumpsfromN-shelltotheL-shell,the,wavelengthofemittedradiationwillbe:[11Jan2019II],27,16,25,20,l,l(c),l,l,(b),(d),20,25,16,27,Anelectronfromvariousexcitedstatesofhydrogenatom,emitradiationtocometothegroundstate.AwedgeofmassM=4mliesonafrictionlessplane.04,2020(I)],A,O,,(a)4:6,(c)2:5,,39.,,(b),,em0nIR,2m,,em0nIR,2em0nIR,(d),4m,m,AverylongwireABDMNDCisshowninfigurecarrying,currentI.Inthegivencircuit,thecurrentthroughzenerdiodeis:,[OnlineApril16,2018],,75W,,R1500W,D2,,15V,100W,,16.,,6V,(a)0.036,(b)0.020,(c)0.027,(d)0.030,Forthecircuitshownbelow,thecurrentthroughthe,Zenerdiodeis:,[10Jan.ThenetfieldEatthecentre,Ois,[2010],(a),,j,,(b),O,,43.,,q,,ˆj,,2,,2,,(b)-,,2,,æ5rö,withchargedensityvaryingasr(r)=r0çè-÷øuptor,4R,=R,andr(r)=0forr>R,whereristhedistancefrom,theorigin.Thespeedofdaughternucleiis,(a)c,(c)c,,Dm,M+Dm,,Dm,M,,(b)c,,2Dm,M,,(d)c,,Dm,M+Dm,,19.A100Vcarrierwaveismadetovarybetween160Vand,40Vbyamodulatingsignal.(b)Given,modulatingfrequencyfm=15KHz,\Bandwidthofonechannel=2fm=30kHz,\,,Noofchannelsaccommodate=,,300kHz,=10,30kHz,,18.03,2020(I)],F´10-9N.Aparticleofmassmandchargeqenters,mv,theregionwithavelocityvr=viˆ.Theincident,radiationliesin,[2006],(a)ultra-violetregion,(b)infra-redregion,(c)visibleregion,(d)X-rayregion,Thetimetakenbyaphotoelectrontocomeoutafterthe,photonstrikesisapproximately,[2006],(a)10–4s(b)10–10s(c)10–16s(d)10–1s,Theanodevoltageofaphotocelliskeptfixed.Thelengthofapotentiometerwireis1200cmanditcarries,acurrentof60mA.However,,thetemperatureofrealgasgoesdown(cooling)whenit,expandsinvacuum.,Statement-2:Theinternalenergyofanidealgasisonly,kinetic.AcirculardiscofmassMandradiusRisrotatingabout,itsaxiswithangularspeedw1.Thetablebelowshowsthefinaltemperature,Twhendifferentamountsofwater(giveninliters)aretaken,fromeachcontainerandmixed(assumenolossofheat,duringtheprocess),[8Jan.ThepointAisatheighthfrompointB.ThevalueofR,togiveapotential,differenceof5mVacross10cmofpotentiometerwireis:,[12Jan.Amovingcoilgalvanometer,havingaresistanceG,,producesfullscaledeflectionwhenacurrentIgflows,throughit.Amovingparticleofmassm,makesaheadonelastic,collisionwithanotherparticleofmass2m,whichisinitially,atrest.04,2020(I)],,h,,e2E2t2,2m2v02,,l0,,(b),1+,,e2E02t2,m2v02,l0,,(d),2+,,e2E2t2,m2v02,,Aparticle‘P’isformedduetoacompletelyinelasticcollision,ofparticles‘x’and‘y’havingde-Brogliewavelengths‘gx’,and‘gy’respectively.Then,[2007],(a)XandYdecayatsameratealways,(b)XwilldecayfasterthanY,(c)YwilldecayfasterthanX,(d)XandYhavesamedecayrateinitially,55.Twostonesarethrownupsimultaneouslyfromtheedge,ofacliff240mhighwithinitialspeedof10m/sand40,m/srespectively.Theminimumfusecapacity(rated,value)ofthebuildingwillbe:,[7Jan.06,2020(I)],(a)2.6mfromthemirror,real,(b)1mfromthemirror,virtual,(c)1mfromthemirror,real,(d)2.6mfromthemirror,virtualPage402:P-393,,RayOpticsandOpticalInstruments,,34.,,AdoubleconvexlenshaspowerPandsameradiiofcurvatureRofboththesurfaces.ofphotoelectrons,emittedwouldincreaseby4times,sincenumberofelectrons,emittedpersecondisdirectlyproportionaltointensity.Ifthetimeperiodtoftheoscillationofadropofliquidof,densityd,radiusr,vibratingundersurfacetensionsisgiven,bytheformulat=r2bscda/2.(a),L,Copper,,Kcopperlsteel+Ksteellcopper,,20,,50´1,=0.5kcal/kg,100,,100°C,,Kcopperqcopperlsteel+Ksteelqsteellcopper,,q=,,=5´10–8,,or,,,\Specificheatofliquid,Cl=,,Fromformulatemperatureofjunction;,,Steel,,0°C,,L/2,L/2,LetconductivityofsteelKsteel=kthenfromquestion,ConductivityofcopperKcopper=9k,qcopper=100°C,qsteel=0°C,L,lsteel=lcopper=,2,,xdQ,kAdt,Thus,thegraphofQversusxisastraightlinewithapositive,interceptandanegativeslope.,Theaboveequationcanbegraphicallyrepresentedby,option(a).,46.Thexcoordinateoftheparticleattheinstantwhenitsycoordinateis32misDmeters.Surfaceofwater,isatheighHfromthebottomofwatertank.Themeanvalueoftimetakencomesouttobe,30s.AnelectricfieldE=(25i$+30j)NC,space.Threeresistorsof4W,6Wand12Wareconnectedin,parallelandthecombinationisconnectedinserieswitha,1.5Vbatteryof1Winternalresistance.Whatisthedistance,betweenthescreenandtheobject?,[OnlineApril11,2014],(a)124.5cm,(b)144.5cm,(c)65.0cm,(d)99.0cm,Diameterofaplano-convexlensis6cmandthicknessat,thecentreis3mm.2020(I)],v,m,,m,,2m,,4m,,8m,,(a)77,(b)94,(c)37,(d)87,62.Curietemperatureisthetemperatureabovewhich,[2003],(a)aferromagneticmaterialbecomesparamagnetic,(b)aparamagneticmaterialbecomesdiamagnetic,(c)aferromagneticmaterialbecomesdiamagnetic,(d)aparamagneticmaterialbecomesferromagnetic,,TOPIC3MagneticEquipment,39.Forseriescombinationthetimeforneededfor,reducingthevoltageofthefullychargedseries,combinationbyhalfis,[2011RS],(a)10second,,(b)5second,,(c)2.5second,,(d)20second,,48.Whenthesampleisplacedinanexternal,magneticfieldof0.3Tatatemperatureof24K,thenthe,magnetisationwillbe:,[Sep.Asmallcircularloopofconductingwirehasradiusaand,carriescurrentI.Furthertheballwillacquirechargeanddue,tothistherewillbeafinitevalueofthepotentialontheball.,Thechargeacquiredbytheballis:,[OnlineApril25,2013],–13,(a)5.5×10C,(b)7.5×10–13C,–12,(c)4.5×10C,(d)2.5×10–11CPage447:P-438,,54.,,55.,,56.,,57.,,Thisequationhasstatement1andstatement2.Iftheoscillationperiodsofhoopand,cylinderareThandTcrespectively,then:,[10Jan.Anothergasofdiatomicmolecules,B,,hasthecorrespondingvalues30and21.Themassofaspaceshipis1000kg.Aneutronmovingwithaspeed'v'makesaheadon,collisionwithastationaryhydrogenatomingroundstate.,Theminimumkineticenergyoftheneutronforwhich,inelasticcollisionwilltakeplaceis:,[OnlineApril10,2016],(a)20.4eV(b)10.2eV(c)12.1eV(d)16.8eV,82.Themeantimebetweentwo,successivecollisionsis6×10–8s.Ifthebodyis,projectedatanangleof45°withthevertical,theescape,velocitywillbe,[2003],(a)112km/s,,(b)22km/s,,(c)11km/s,,(d),,11,2,,km/s,,71.Thepowerdeliveredbythecellto,theexternalresistancewillbemaximumwhen:,[8Apr.Thentheinitialthrust,oftheblastis,[2003],(a)3.5´105N,(b)7.0´105N,(c)14.0´105N,(d)1.75´105N,18.ThenFequals:,(Takeg=10ms–2andtheropetobemassless),[7Jan.B)=A+B=A+BÞORgate,,ItmeansORgateisformed.,96.2019I],,R4,,(a)Brown,Blue,Brown,(c)Red,Green,Brown,,(a)1W,,G,A,,R2,,(b)505W,,(c)550W,,(d)910W,,127.Butifanaluminium,plateisplacedneartothecoil,itstops.Themassofthespringandthe,panisnegligible.2020I],(a)20cm,(b)40cm,(c)30cm,(d)10cmPage408:P-399,,RayOpticsandOpticalInstruments,,86.Whenthedistance,betweentheslitsis0.05mm,theangularwidth(indegree),ofthefringesformedonthedistancescreeniscloseto:,[Sep.Agalvanometerwithitscoilresistance25Wrequiresa,currentof1mAforitsfulldeflection.ThemomentoftheseforcesaboutpointOwill,,(,,),,be:,,[11Jan.Theelectrostaticpotentialinsideachargedsphericalballis,givenbyf=ar2+bwhereristhedistancefromthecentre,anda,bareconstants.AsolidballofradiusRhasachargedensityrgivenby,(a)Thetotalenergyofthesystemis,,q2E2,m2,,theballis:,,L,,(a),,æqEö,g2+ç,÷,èmø,,3,,rö,æ,r=r0ç1-÷for0£r£R.Thevalueof'm'is,closeto(Latentheatofwater=540calg–1,specificheatof,water=1calg–1°C–1),[Sep.Theupperhalfofaninclinedplanewithinclinationfis,perfectlysmoothwhilethelowerhalfisrough.Theamountofheatneededtoraisethe,temperatureofthegasby20oCis:[GiventhatR=8.31J,mol–1K–1],[10Apr.Thecoefficientofkineticfriction,betweentheobjectandtheinclineis:,,(a),(c),,1-,,n2,,[OnlineApril15,2018],1,(b)1-2,n,,2,,(d),,1,,1,2-n,,1,1-n2,,46.WhenVCEis10VandIC=4.0mA,thenvalueofbac,is______.,[NASep.Theaccelerationoftheballas,observedbythemanintheliftandamanstanding,stationaryonthegroundarerespectively,[2002],(a)g,g,(b)g–a,g–a,(c)g–a,g,(d)a,g,,B,,A,,F,,(a)9.2,(b)3.4,(c)4,(d)9.8,37.Then,hiscloseto(g=10ms–2).,[2Sep.Thecoercivityofthebarmagnetis:,[9Jan.Twosmallequalpointchargesofmagnitudeqare,suspendedfromacommonpointontheceilingby,insulatingmasslessstringsofequallengths.Thepercentagelossinenergyofthecolliding,particleoncollision,iscloseto,[OnlineMay19,2012],(a)33%,(b)67%,(c)90%,(d)10%,88.2019I],,(c),79.,,B,,Bdc,I,I,ab,,c,I,,Y(b),,Z,B,,B,(c),,b,,a,,Id,Ic,,Y(d),,b,,I,I,,I,,y,,I,,x,,d,,z,B,,2,æa2ö,æaö,(c)Fµç3÷,(d)Fµç÷,èdø,èdø,80.Whenaparticleofmassmisattachedtoaverticalspring,ofspringconstantkandreleased,itsmotionisdescribed,byy(t)=y0sin2wt,where‘y’ismeasuredfromthelower,,(c),,f=,,endofunstretchedspring.Iftheelectricfluxenteringandleavinganenclosedsurface,respectivelyisf1andf2,theelectricchargeinsidethesurface,willbe,[2003],(a)(f2–f1)eo,(b)(f1–f2)/eo,(c)(f2–f1)/eo,(d)(f1–f2)eo,69.Acrosstheriverisawelllittowerofheight40m.,Whentheperson,whoisataheightof10m,looksthrough,apolarizeratanappropriateangleatlightofthetower,reflectingfromtheriversurface,henotesthatintensityof,lightcomingfromdistanceXfromhisbuildingistheleast,andthiscorrespondstothelightcomingfromlightbulbs,atheight'Y'onthetower.Ifthepartition,isremovedwithoutdoinganyworkonthegas,the,finalequilibriumtemperatureofthegasinthecontainer,willbe,[2008],(a),,T1T2(PV,11+P2V2),PV,11T2+P2V2T1,,(b),,PV,11T1+P2V2T2,PV,11+P2V2,,PV,11T2+P2V2T1,PV,11+P2V2,,(d),,T1T2(PV,11+P2V2),PV,T,111+P2V2T2,,Whenasystemistakenfromstateitostatefalongthe,pathiaf,itisfoundthatQ=50calandW=20cal.Thereisaholeinthebottomofradius‘a’.Forthecircuitshown,withR1=1.0W,R2=2.0W,E1=2V,andE2=E3=4V,thepotentialdifferencebetweenthe,points‘a’and‘b’isapproximately(inV):[8April2019I],,(a)2.7,(b)2.3,(c)3.7,(d),3.3,55.Whentheiongetsdeexcited,tothegroundstateinallpossibleways(including,intermediateemissions),atotalofsixspectrallinesare,observed.2019II],hc,æ,ö,çè=1240nm-V÷ø,e,,(a),,(b),,(c)2v,,(d),,(a)0.5V,(b)1.5V,(c)1.0V,(d)2.0V,Ametalplateofarea1×10–4m2isilluminatedbya,radiationofintensity16mW/m2.Theratioofthemagneticfieldsduetothewires,AandBatthecommoncentreOis:,[Sep.Itisfoundthatforaparallelcombination,ofthecapacitorthetimeinwhichthevoltageofthefully,chargedcombinationreducestohalfitsoriginalvoltageis,10second.(b)Fortotalinternalreflection,Incidentangle(i)>criticalangle(ic),,...(iii),,1,µ2,,[using(i)],,1,µ2,,...(iv),,-cosA,,é,–1æ1öù,q=sin–1êmsin(A–sinçµ÷ú,èøû,ë,So,fortransmissionthroughfaceAC,,78.,,é,–1æ1öù,q>sin–1êmsin(A–sinçµ÷ú,èøû,ë,(c)Fortheprismastheangleofincidence(i)increases,,theangleofdeviation(d)firstdecreasesgoestominimum,valueandthenincreases.,(d)Forlighttocomeoutthroughface'AC',total,internalreflectionmustnottakeplace.,i.e.,q<cÞsinq<sinc,,1,Þsinq,,Þ,,onfurthersolvingwecanshowforraynottotransmitted,throughfaceAC,,77.,,\sini>sinic,Þsin45°>sinicÞsinic=,,Byeq.(a)TheoutputatCcorrespondstoANANDBor,A×B=C,90.IftheYoung's,1,modulusofthematerialofthewireisYthen,isequal,Y,,2,2,,A1kgblockattachedtoaspringvibrateswithafrequency,of1Hzonafrictionlesshorizontaltable.Oneofthedielectricshasdielectricconstant,d,k1=3andthickness,whiletheotheronehasdielectric,3,2d,.Thereforethenewtime,period,,T'=2p,,2,t2,,l,g,,Newlength,l'=l+21%ofl,,=,,t=2t0,71.,,16,m25,=,-1=,M,9,9,,73.Theindexofrefractionoftheglass,iftotalinternal,reflectionistooccurattheverticalface,isequalto:,[OnlineApril23,2013],,(c),,æ,æ,1ö,1ö,ç1+÷h2-ç1+÷h1,èm1ø,èm2ø,,æ,æ,1ö,1ö,ç1-÷h2+ç1-÷h1,èm1ø,èm2ø,29.The,temperatureofthehotreservoirofthefirstengineisT1,andthetemperatureofthecoldreservoirofthesecond,engineisT2.Noconductionisfound,,70.,,betweenPandQ.Therefore,,isa,x,constant.,66.(Molewt.04,2020(II)],,V,,q,,26.,,1/l,,(a)Straightlineshiftstoright,(b)Slopeofthestraightlinegetmoresteep,(c)Straightlineshiftstoleft,(d)Graphdoesnotchange,Whenthewavelengthofradiationfallingonametalis,changedfrom500nmto200nm,themaximumkineticenergy,ofthephotoelectronsbecomesthreetimeslarger.Startingattemperature300K,onemoleofanidealdiatomic,gas(g=1.4)isfirstcompressedadiabaticallyfromvolume,V1,.Anotheridentical,tube(B)isdippedinasoap-watersolution.ArectangularloophasaslidingconnectorPQoflengthl,andresistanceRWanditismovingwithaspeedvas,shown.TheforceactingontheconductorB,which,issituatedat10cmdistancefromAwillbe,[OnlineMay26,2012],(a)8×10–5N,(b)5×10–5N,(c)8p×10–7N,(d)4p×10–7N,Thecircuitinfigureconsistsofwiresatthetopandbottom,andidenticalspringsastheleftandrightsides.Waterflowsinahorizontaltube(seefigure).(i),=,mDsinr,QÐi=AandÐr=(90°-A),m,Wealsoknowthat,sinqC=R,mD,sinA,n,Fromeq(i),sinqC=,sin(90°-A),sinA,sinqC=,cosA,sinqC=tanA,or,A=tan–1(sinqC),4,23.Ablockofmass0.1kgisconnectedtoanelasticspringof,springconstant640Nm–1andoscillatesinamediumof,constant10–2kgs–1.Adiscrotatesaboutitsaxisofsymmetryinahoizontal,planeatasteadyrateof3.5revolutionspersecond.Theratiooftheirnuclear,sizeswillbe,[2004],(a)3½

:1,(b)1:21/3(c)21/3:1,(d)1:3½,,(),2,,25.EnergyrequiredfortheelectronexcitationinLi++fromthe,firsttothethirdBohrorbitis:,[2011],(a)36.3eV,(b)108.8eV,(c)122.4eV,(d)12.1eV,48.Supposethattheangularvelocityofrotationofearthis,increased.MatchList-I(Experimentperformed)withList-II,(Phenomenadiscovered/associated)andselectthecorrect,optionfromtheoptionsgivenbelowthelists:,[OnlineApril19,2014],List-I,,List-II,,(1)DavissonandGermer(i)Wavenatureof,experiment,electrons,(2)Millikan'soildrop,experiment,,(ii)Chargeofanelectron,,(3)Rutherford,experiment,,(iii)Quantisationof,energylevels,,(4)Franck-Hertz,experiment,,(iv)Existenceofnucleus,,(a),(b),(c),(d),,(1)-(i),(2)-(ii),(3)-(iii),(4)-(iv),(1)-(i),(2)-(ii),(3)-(iv),(4)-(iii),(1)-(iii),(2)-(iv),(3)-(i),(4)-(ii),(1)-(iv),(2)-(iii),(3)-(ii),(4)-(i)Page461:P-452,,35.,,36.,,Thebindingenergyoftheelectroninahydrogenatomis,13.6eV,theenergyrequiredtoremovetheelectronfrom,thefirstexcitedstateofLi++is:[OnlineApril9,2014],(a)122.4eV,(b)30.6eV,(c)13.6eV,(d)3.4eV,Inahydrogenlikeatomelectronmaketransitionfroman,energylevelwithquantumnumberntoanotherwith,quantumnumber(n–1).Theangularwidthofthecentralmaximuminasingleslit,diffractionpatternis60°.ThevalueofXiscloseto:,[11Jan.(d)A=7×5.29=37.03cm2,Theresultshouldhavethreesignificantfigures,so,A=37.0cm2,49.Withrespecttothefieldatthecentre,the,2Î0,,electricfieldalongtheaxisatadistanceRfromthecentre,ofthedisc:,[OnlineApril25,2013],(a)reducesby70.7%,(b)reducesby29.3%,(c)reducesby9.7%,(d)reducesby14.6%,39.(b),,a=gsinq-mgcosq,,dq,sind,g,=,a45°,45°,smooth,rough,Onsmoothinclinedplane,accelerationofthebody=g,sinq.Thewatervelocityasitleavesthetap,is0.4ms–1.Thetotalworkdoneinraisingthe,temperatureis:,[OnlineApril10,2016],,P-289,,R,,Q=4W,,A,,B,R=1W,,S=2W,,(a)Q,(b)S,(c)P,(d)R,96.The,LC,qualityfactor,Qisgivenby:,[2018],,CR,w0L,w0R,R,(b),(c),(d),w0,R,L,(w0C),27.Ablockofmassmattachedtoamasslessspringis,performingoscillatorymotionofamplitude'A'ona,frictionlesshorizontalplane.06,2020(I)]Page233:P-224,,Physics,,(t0representstheinstantwhenthedistancebetweenthe,sourceandobserverisminimum),v,,v,,(a)vo,,v,,(b),t0t,,vo,,71.,t0,,v,,t,,vo,,vo,,(c),,72.,,(d),t0,,t,,t0,,t,,65.Theamplitudeoftheelectricfieldassociatedwith,theelectromagneticradiationatadistanceof5mfromthe,lampwillbenearly:,[OnlineApril12,2014],(a)1.34V/m,(b)2.68V/m,(c)4.02V/m,(d)5.36V/m,Anelectromagneticwaveoffrequency1×1014hertzis,propagatingalongz-axis.(d)FromNewton’slawofcooling-,,dQ,µ(Dq),dtPage178:11,,P-169,,Thermodynamics,,Thermodynamics,TOPIC1FirstLawofThermodynamics,1.,,AgascanbetakenfromAtoBviatwodifferentprocesses,ACBandADB.,,(c),5.,,6.,,2.,,3.,,4.,,WhenpathACBisused60Jofheatflowsintothesystem,and30Jofworkisdonebythesystem.When,itisatadistanceof0.9km,itblowsawhistlewhoseecho,isheardbythedriverafter5seconds.Avesselofdepth2hishalffilledwithaliquidofrefractive,index22andtheupperhalfwithanotherliquidof,,Youareaskedtodesignashavingmirrorassumingthata,personkeepsit10cmfromhisfaceandviewsthemagnified,imageofthefaceattheclosestcomfortabledistanceof25,cm.Allvaluesinthecircuitare,inµF.,[12Jan.Intermsofthese,thedimensionsofmasswould,be:,[OnlineApril8,2017],,(a)[M]=[T–1C–2h],(b)[M]=[T–1C2h],–1,–2,–1,(c)[M]=[TCh](d)[M]=[TC–2h],21.Togetoutput‘1’atR,forthegivenlogicgatecircuit,theinputvaluesmustbe:,[10Jan.When,acurrentof3Aflowsthroughcoil‘P’,amagneticfluxof,10–3Wbpassesthrough‘Q’.2019II],1,1,KRΔT,(a)RΔT,(b),2,2,2K,3,ΔT,RΔT,(c),(d),3,2,Twokgofamonoatomicgasisatapressureof4×104,N/m2.S1andS2,areplaced1.5mapart(seefig.).(d)Asmagneticfieldlinesformcloseloop,,henceeverymagneticfieldlinecreatingmagneticflux,throughtheinnerregion(fi)mustbepassingthrough,theouterregion.Asoundabsorberattenuatesthesoundlevelby20dB.,Theintensitydecreasesbyafactorof,[2007],(a)100,(b)1000,(c)10000(d)10,14.Acurrentiampereflowsalonganinfinitelylongstraight,thinwalledtube,thenthemagneticinductionatanypoint,insidethetubeis,[2004],m02i,.,tesla,(a),(b)zero,4pr,2i,tesla,(c)infinite,(d),rPage328:P-319,,MovingChargesandMagnetism,,68.In,SiandGeatroomtemperature,theenergybandgapislow,duetowhichelectronsinthecovalentbondsgainskinetic,energyandbreakthebondandmovetoconductionband.,Asaresult,holeiscreatedinvalenceband.Anobserverisstandingatafinitedistance,atthe,pointO,fromthetrack.(9),WhenradiationofwavelengthA,lAisusedtoilluminate,,stoppingpotentialVA=V,hc,=f+eV,l,,...(i)Page455:P-446,,Physics,,3.6´10-3,2,=1.8×10–3Wm–2,workfunctionf=hv,,1,c,2,–hn0=mv,2,l,4hc,1,-hn0=mv¢2,\,3l,2,,45.AsampleofradioactivematerialA,thathasanactivityof,10mCi(1Ci=3.7×1010decays/s),hastwicethenumberof,nucleiasanothersampleofadifferentradioactivematerialB,whichhasanacitvityof20mCi.ThecorrectchoicesforhalflivesofAandBwouldthenberespectively:[9Jan.Thepositionvectorofthecentreofmassrcmofan,asymmetricuniformbarofnegligibleareaofcrosssectionasshowninfigureis:,[12Jan.The,chargeonthecapacitorC1asafunctionoftimewillbe,æ,CCö,givenbyçCeq=12÷.,C1+C2ø,è,,[OnlineApril16,2018],,C1,,(a)CeqE[1–exp(–t/RCeq)],,C2,,(b)C1E[1–exp(–tR/C1)],S,(c)C2E[1–exp(–t/RC2)],R,E,(d)CeqEexp(–t/RCeq),75.The,equivalentresistance(inohms)betweenpointsXandYis–,X,,Y,,23.,,24.,,TheelectricpotentialVisgivenasafunctionofdistancex,byV=(5x2+10x–9)volt.Thespringsstretch0.5,cmundertheweightofthewireandthecircuithasatotal,resistanceof12W.Theself-inductanceofthechoke(inmH)isestimated,tobe______.,[NA9Jan.At2atmpressureandat,227°C,thermsspeedofthemoleculeswillbe:,[9April2019I],(a)100m/s,(b)805m/s,(c)1005m/s,(d)80m/s,12.Thepowerconsumedbythenetworkis4,Watt.03,2020(II)],(a)2V,(b)1.8V,(c)2.05V,(d)1.95V,110.Atuningforkvibrateswithfrequency256Hzandgives,onebeatpersecondwiththethirdnormalmodeof,vibrationofanopenpipe.Thevalueofkis_________.,,5.,,[NA2Sep.500gofwaterand100goficeat0°Careinacalorimeter,whosewaterequivalentis40g.TheammeterAinthecircuitreads1.0A,whentwowaykeyK3isopen.IndianInstitutesofScienceEducationandResearch(IISER),,Thiruvananthapuram,8.03,2020(II)],99.Theamplitudeofthewave,,thewavelengthandtheangularfrequencyofthewaveare,0.1meter,p/2meterand2prad/secrespectively.,Theequationofthewaveis,(a)y=0.1sin(4p(t–1)+8(x–2)),(b)y=0.1sin((t–1)–(x–2)),(c)y=0.1sin(2p(t–1)+4(x–2)),(d)Noneofthese,Inanexperiment,asmallsteelballfallsthroughaliquidat,aconstantspeedof10cm/s.2020(I)],53.Thehorizontalrange(distancefrompoint,offiring)ofthelighterpartis:,[OnlineApril23,2013],(a)16km(b)1km,(c)10km(d)2km,87.Aspringwhoseunstretchedlengthislhasaforce,constantk.Theinsectnowmovesalong,adiameterofthedisctoreachitsotherend.LetCbethecapacitanceofacapacitordischargingthrough,aresistorR.Twocoils‘P’and‘Q’areseparatedbysomedistance.Aparallelplatecapacitorismadeoftwocircularplates,separatedbyadistance5mmandwithadielectricof,dialectricconstant2.2betweenthem.(c)AsshowninAnswer(a)E=,2pr2,24.Statement-1:Onviewingtheclearblueportionofthe,skythroughaCalciteCrystal,theintensityoftransmittedlightvariesasthecrystalisrotated.,,L,,40m,,(b)90°,,d,,(d)N,,dPage432:P-423,,WaveOptics,,82.,,IfI0istheintensityoftheprincipalmaximuminthesingle,slitdiffractionpattern,thenwhatwillbeitsintensitywhen,theslitwidthisdoubled?,[2005],(a)4I0,,83.,,(b)2I0,,(c),,I0,2,,(d)I0,,WhenanunpolarizedlightofintensityI0isincidentona,polarizingsheet,theintensityofthelightwhichdoesnot,gettransmittedis,[2005],1,1,I0,I0,(b),(c)I0,(d)zero,2,4,Twopointwhitedotsare1mmapartonablackpaper.,Theyareviewedbyeyeofpupildiameter3mm.,Approximately,whatisthemaximumdistanceatwhich,thesedotscanberesolvedbytheeye?,,(a),84.,,[Takewavelengthoflight=500nm],[2005],(a)1m,(b)5m,(c)3m,(d)6m,85.(a)Whenfirstpulseisapplied,thepotentialacross,capacitor,1ö,æ,V0(t)=Vinç1-eRC÷,è,ø,,Att=5ms=5´10-6sPage385:P-376,,Physics,,ÞIs=0.9´50=45A,,10mF,,Vin,,V0(t),,Efficiencyn=0.9=,,5´10-6,æ,ö,3,-9,10,V0(t)=5ç1-e´10´10÷=5(1-e-0.5)=2V,ç,÷,è,ø,Whennopulseisapplied,capacitorwilldischarge.,Now,Vin=0meansdischarging.,1,,V0(t)=2eRC=2e-0.5=1.21V,,Nowfornext5ms,1,,V0(t)=5-3.79eRC,,After5msagain,V0(t)=2.79Volt»3V,Hence,graph(a)correctlydepicts.,63.,,(c)Poweroutput(V2I2)=2.2kW,2.2kW,=220volts,(10A),,\V2=,,\Inputvoltageforstep-downtransformer,V1N1,=,=2,V2N2,,Vinput=2×Voutput=2×220,=440V,I1N2,AlsoI=N,2,1,,\,,64.,,I1=,,1,´10=5A,2,,P,VI,(b)Efficiency,h=out=ss,PinVpIp,Þ0.9=,,Outputcurrent=45A,65.Thecoordinatesof,Pwillbe,[2009],æffö,(a)ç,÷,(b)(f,f),è22ø,(c)(4f,4f),(d)(2f,2f),67.(d)Bythetheoremofperpendicularaxes,,I=IEF+IGH,Here,Iisthemomentofinertiaofsquarelaminaaboutan,axisthroughOandperpendiculartoitsplane.,\IEF=IGH(BySymmetryofFigure),=,,Z,,Y,F,,D,,ælö,+m(2l)2,ÞInn'=2´mç,è2÷ø,=ml2+2ml2=3ml2,123.Theworkfunctionofthemetalis:,(hc=1240eV.nm),[2009],(a)1.41eV,(b)1.51eV,(c)1.68eV,(d)3.09eV,Directions:QuestionNo.60and61arebasedonthefollowing,paragraph.,Wavepropertyofelectronsimpliesthattheywillshowdiffraction,effects.It,isdischargedthroughasmallcoilofresistancewire,embeddedinathermallyinsulatedblockofspecificheat,capacity‘s’andmass‘m’.(b)Given,,Balancepointfromoneend,l1=20cm,Fromtheconditionforbalanceofmetrebridge,wehave,55,l1,=,R100–l1,,5520,=,R80,,ÞR=220W,138.Whichofthebulbs,willfuse?,[2012],(a)Both,(b)100W(c)25W,(d)Neither,97.Thetransversedisplacementy(x,t)ofawaveisgivenby,y(x,t)=e,,(,,-ax2+bt2+2ab)xt,,Thisrepresentsa:,,).,,[2011],,(a)wavemovingin–xdirectionwithspeed,,b,a,,(b)standingwaveoffrequency,,b,1,(c)standingwaveoffrequency,b,,(d)wavemovingin+xdirectionspeed,,a,b,,12.,,Awavetravellingalongthex-axisisdescribedbythe,equationy(x,t)=0.005cos(ax–bt).If,westircontinuouslythentemperatureofwholemixture,becomessame.,,10.,,(d)Forisothermalprocess:,PV=Pi.2V,P=2Pi,Foradiabaticprocess,,84,=,=7.6A/rad,11,,4.,,...(i),,PVg=Pa(2V)g,(Qformonatomicgasg=53),,(c),mg=Tcos30°,,30°,,T,R,,R,N,,N=Tsin30°,ÞN=,,or,,,Þ,,mg,,5.,,(a)Aconvexmirroralwaysformsavirtualimagewhich,can'tbecastonascreen.Thefirstcapacitorsisfilledas,showninFig.AbeadofmassmstaysatpointP(a,b)onawirebentin,theshapeofaparabolay=4Cx2androtatingwithangular,speedw(seefigure).Whichoneofthefollowing,relationiscorrect?,[2012],(a),,21.,,(b)B=,,2R,,(b),,(,,),,6,-1,particlevelocityis2iˆ+3ˆj´10msis,,[OnlineMay12,2012],,(a)8Ninz-direction,(b)8Niny-direction,(c)4Niny-direction,(d)4Ninz-direction,24.Thenaconstant,forceFstartsactingontheblockofmassMtopullit.,Findtheforceoftheblockofmassm.,[2007],mF,MF,(a),(b),M,(m+M),mF,(c)(M+m)F,(d),(m+M),m,28.2019I],(a)285A/m,(b)2600A/m,(c)520A/m,(d)1200A/mPage351:P-342,,Physics,,23.2019II],40N,,(a),,I=,,(a)20rad/s2,(b)16rad/s2,2,(c)12rad/s,(d)10rad/s2,100.Onreflectionithearsa,soundoffrequencyf.(c),,O,,F0,20mm,25mm,,I,V0,,fe,,Toobtainfinalimageatinfinity,objectwhichistheimage,formedbyobjectiveshouldbeatfocaldistanceofeyepiece.,Bylensformula(forobjective),1,1,1,=,v0u0,f0,,or,,,1,1,1,=,v0-2520,,1,1,1,5-4,1,=,=,mm,v02025=100100,\v0=100mm,Thereforethedistancebetweenthelenses,=v0+fe=100mm+20mm=120mm,96.Theradiusofthepathis20m.,Theaccelerationof'P'whent=2sisnearly.,[2010],y,,(a)sinf=cosf,,(b),,sinf=,,B,P(x,y),m,20,,O,,A,,x,,(a)13m/s2,(b)12m/s2,(c)7.2ms2,(d)14m/s2,72.Themachineasshownhas2rodsoflength1mconnected,byapivotatthetop.(b)Figureofmeritofagalvanometeristhecorrectrequired,toproduceadeflectionofonedivisioninthegalvanometer,I,i.e.,figureofmerit=,q,e,1,I=,G=KW,R+G,9,1,S,1,e,eS,=,´,Þ=,2R+GS,S+G,2R(S+G)+GS,G+S,,E,,1,´102´270´10-6,2,S=,=110W,æ6ö,6-ç÷,è2ø,110.Asetof,(m,x)valuesisrecorded.(d)Apparentdepth,,,h,,m1=2,m2=22,,t1t2,h,h,3h,3h2,+,=,+,=,=,m1m2,4,22222,15.AhomogeneoussolidcylindricalrollerofradiusRand,massMispulledonacricketpitchbyahorizontal,force.Theinducedcurrentinthecircuitis[2004]Page363:P-354,,(a),,Physics,,-,,(W2-W1),Rnt,,(b),,(W2-W1),5Rnt,,(d),,-,,n(W2-W1),5Rt,,n(W2-W1),Rt,50.Whatisthechangein,thetotalkineticenergyofthegas?,[OnlineApril9,2017],1,nRT,(b)0,2,3,5,nRT,nRT,(c),(d),2,2,16.Anopenglasstubeisimmersedinmercuryinsuchaway,thatalengthof8cmextendsabovethemercurylevel.2019II],,(a)0.50V(b)0.75V(c)0.25V,(d)0.20V,118.03,2020(I)],O,,M,l,,q,mv,,(a)63°,(c)69°,40.,,æR-aö,(a)Mg1-ç,÷,èRø,,m,,m,,(b)55°,(d)49°,w,,l,q,,Auniformrodoflength'l'ispivotedatoneofitsendson,averticalshaftofnegligibleradius.Thechargeonacapacitorplateinacircuit,asafunctionof,time,isshowninthefigure:,[12Jan.yb=x.05,2020(II)],11.Theradiusofathincylinderofthesamemass,suchthatitsmomentofinertiaaboutitsaxisisalsoI,is:,[12Jan.Amountofheattransferredtothe,gas,sothatrmsvelocityofmoleculesisdoubled,is,about:[TakeR=8.3J/Kmole],[9Jan.Ris,theresultantforce.,GivenF1+F2=18,...(i),FromthefigureF22+R2=F12,F12-F22=R2,,\F12-F22=144,Onlyoption(b)followsequation(i)and(ii).,F1,,T,a,mg,,R,,F2,,30.(c)Powerlevelofreactor,P=Page481:P-472,,Physics,,æI/8ö,-m´36=logç,÷..........(i),èIø,ForintensityI/2,thickness=d,æI/2ö,...........(ii),-m´d=logç,èI÷ø,Dividing(i)by(ii),,36,=,d,,æ1ö,æ1ö,logç÷3logç÷,36,è8ø,è2ø,=,=3ord=,=12mm,3,æ1ö,æ1ö,logç÷,logç÷,è2ø,è2ø,,58.IftheYoung’smodulusofwireis16´l011Nm–2the,extensionofwireoveritsnaturallengthis:,[7Jan.Page510:MockTest-1,,MT-1,,1,(c)Resistanceofbothdecrease,,PART-I(MultipleChoiceQuestions),1.,,2.,,3.,,Ad.c.supplyof120VisconnectedtoalargeresistanceX.,Avoltmeterofresistance10kWplacedinseriesinthecircuit,reads4V.(b)Letthevelocityandmassof4kgpiecebev1andm1,andthatof12kgpiecebev2andm2.,,v/3,,m,,v,v,,16kg,,Situation1,4kg=m1,v1,,Initialmomentum,=0,,m2=12kgFinalmomentum,v2,=m2v2–m1v1,,Situation2,,Applyingconservationoflinearmomentum,16×0=4×v1+12×4,12´4,=–12ms-1,Þv1=–,4,Kineticenergyof4kgmass,1,1,\K.Theforceexperiencedbythemiddle,conductoroflength25cmis:[OnlineApril11,2014],I1=30A,,I2=20A,,5cm,,I1I2,,Q,,P,,I,,2.0,,3cm,,AwirecarryingcurrentIistiedbetweenpointsPand,QandisintheshapeofacirculararcofradiusRdue,toauniformmagneticfieldB(perpendiculartotheplane,ofthepaper,shownbyxxx)inthevicinityofthewire.,Ifthewiresubtendsanangle2q0atthecentreofthe,circle(ofwhichitformsanarc)thenthetensioninthe,wireis:,[OnlineApril11,2015],IBR,(a),B,2sinq0,,IBRq0,sinq0,,1.5,,F,,F,(c),,I1I2,,z,,I=10A,,10–4,,(a)3×,Ntowardright,–4,(b)6×10Ntowardright,(c)9×10–4Ntowardright,(d)Zero,88.Medium1inz³0hasarefractiveindexof2and,medium2withz<0hasarefractiveindexof3.Aspringofunstretchedlengthlhasamassmwithone,endfixedtoarigidsupport.Acoilofcross-sectionalareaAhavingnturnsisplacedin,auniformmagneticfieldB.Acylindricalvesselofcross-sectionAcontainswatertoa,heighth.Identifyall,figuresthatcorrectlyrepresentsthemotionqualitatively,(a=acceleration,v=velocity,x=displacement,t=time),[8Apr.(a)P,Forforwardbias,p-sidemustbeathigherpotentialthan,n-side.(a)Given:modulationindexm=80%=0.8,Ec=14V,Em=?,Em,ÞEm=m´Ec=0.8´14=11.2V,Ec,,17.Theboatcarriesaverticalaerial2mlong.05,2020(II)],I,II,Radiation,Wavelength,(A)Microwave,(i)100m,(B)Gammarays,(ii)10–15m,(C)A.M.radiowaves,(iii)10–10m,(D)X-rays,(iv)10–3m,(a)(A)-(ii),(B)-(i),(C)-(iv),(D)-(iii),(b)(A)-(i),(B)-(iii),(C)-(iv),(D)-(ii),(c)(A)-(iii),(B)-(ii),(C)-(i),(D)-(iv),(d)(A)-(iv),(B)-(ii),(C)-(i),(D)-(iii),47.Consideringtheorbitingelectrontobeacircular,currentloop,themagneticmomentofthehydrogenatom,,whentheelectronisinnthexcitedstate,is:,[OnlineApril9,2013],æen2hö,(a)ç,÷,ç2m2p÷,è,ø,,41.,,[OnlineApril23,2013],,æeönh,(b)ç÷,èmø2p,,2,æeönh,æeönh,(c)ç,(d)ç÷,÷,è2mø2p,èmø2p,Hydrogenatomisexcitedfromgroundstatetoanother,statewithprincipalquantumnumberequalto4.(a)Insidethespherefieldvarieslinearlyi.e.,Eµrwith,1,distanceandoutsidevariesaccordingtoEµ,r2,Hencethevariationisshownbycurve(a),20.The,relationbetweenre,rp,rais:,[2018],(a)re>rp=ra,(b)re<rp=ra,(c)re<rp<ra,(d)re<ra<rp,14.Twomercurydrops(eachofradius‘r’)mergetoform,biggerdrop.2019II],,(,,én2-1ù,(a)cos-1ê2ú,ën+1û,,7.,,(b)–99.5,,(c)–112.5,(d),–118.5,Inthecubeofside‘a’showninthefigure,thevector,fromthecentralpointofthefaceABODtothecentral,pointofthefaceBEFOwillbe:,[10Jan.(Takeg=,10m/s²),,16.,,10kg,,(a),,(-3jˆ+4ˆj)N,,æ3ˆ4ˆö,(b)ç-i+j÷N,è55ø,,(c),,(3iˆ-4ˆj)N,,æ3ˆ4ˆö,(d)çi-j÷N,è55ø,,Aplateofmass(M)isplacedonahorizontalfrictionless,surfaceandabodyofmass(m)isplacedonthisplate.workdonebynormalreactiononblockin,timetis:,[10Jan.Thevectorequationfortheelectric,fieldis,r,E=E0cosæçwt-2pyö÷zˆ,è,lø,44.Whatisgforthe,mixture?Whatwillbeitsvalueatthe,centreofloop?,[2004],(a)125mT(b)150mT(c)250mT(d)75mT,70.Ifthe,accelerationoftheparticledependsonxasx–n,wheren,isaninteger,thevalueofnis______.Thevalueofelectricdipolemomentis,10–29C.m.Whatisthepotentialenergyoftheelectric,dipole?,[11Jan2019,II],(a)–20×10–18J,(b)–7×10–27J,(c)–10×10–29J,(d)–9×10–20J,59.AthincircularringofmassmandradiusRisrotating,aboutitsaxiswithaconstantangularvelocityw.2019I],,(a)2J,,TOPIC1Work,4.,,(a)-,,B,,q,A,AsmallblockstartsslippingdownfromapointBonan,inclinedplaneAB,whichismakinganangleqwiththe,horizontalsectionBCissmoothandtheremainingsection,CAisroughwithacoefficientoffrictionm.Thefluxoftheelectricfield,throughsurfacesABCDandBCGFaremarkedasf1and,f11respectively.(d)Permanentmagnets(P)aremadeofmaterialswithlarge,retentivityandlargecoercivity.Thegasismaintainedata,temperatureofT.,,(a),,5,RT,2,,(b),,3,RT,2,,9,RT,(d)3RT,2,31.2019II],,(c),46.,,2f,2f,,47.,,f,,screen,,f,,Ifthewholesetupisimmersedinwaterwithoutdisturbing,theobjectandthescreenpositions,whatwilloneobserve,onthescreen?,(a)Imagedisappears,(b)Magnifiedimage,(c)Erectrealimage,(d)Nochange,Aplano-convexlens(focallengthf2,refractiveindexµ2,,radiusofcurvatureR)fitsexactlyintoaplano-concave,lens(focallengthf1,refractiveindexµ1,radiusof,curvatureR).Thishigh,voltageappliediscalledzenervoltage.,(c)ConservationofEnergy,,,Photon®e++e-+energy,EP=E,,2,26,4,Using(i),T2–62=T1=´T2=T2,3,35,5,,or,,3,m/s,4,,3,m/s,littleafter4,4,second,velocitybecomeszero,Therefore,Impulse,,(Si),,5.,,(d)t<0,vi=0andt>0,vf=,,Littlebefore4secondv=,,T¯Rmetal¯Rsemi-conductor,,(b)Asmv>mrtherefore,vv<vr.,,1mm,=0.005mm=0.0005cm,200,,=3kgms–1,,T¯(300Kto70K),,4.,,Numberofdivisionsoncircularscale,,æ3ö,\Impulse=m(vf–vi)=4ç-0÷,è4ø,,2,,ö,÷=73;Ts=77T0,÷,ø,,(Al),,Pitch,,Diameterofthewire=(Mainscalereading+Circular,scalereading×L.C.)–zeroerror,=6mm+45×0.005–(–0.05),=6mm+0.225mm+0.05mm=6.275mm,,10kW,,2,3,2,3,T2µr3law;T0µR&Tsµ(>7R);,,æTs,ç,çT,è0,,(a)Pitch=1mm,,re+,,+E,,re-,,+K.E.ofbothe-+e+,,Weknowthatrestmassenergyofe++e-is.5MeV,HenceEP=.5+.5+.19´2=1.40MeV,12.,,(b)Letinitialamountbe100gm.,disintegrated,5days,,100gm¾¾¾®,,100´10,100,,Next5days,,90,,¾¾¾¾¾®,,81,,¾¾¾¾¾®,,73,,90´10,100,,81´10,100,73,´10,Next5days,¾¾¾¾¾®,100,Next5days,,Left,,10,,90,,9,,81,,8.1,,»73,,7.3,,»65Page516:SolutionsMockTest-1,13.,,MT-7,,(c)EinsteinequationKEmax=E–Workfunction;,,Force,F=?,,1,mv2=E-W,2,,Acceleration,a=,,Usingthisconcept,,1,mV12max,1-.5,1,Vmax1,2,=,=or1,=,12,2.5-.54,V2max2,V2max,2,,14.,,=,,=5´,,16.,,f,,6ˆj-(6iˆ-2ˆj)-3iˆ+4ˆj,=,m/s2,10,5,,Force,F=ma,,(a)First,letuscheckuptowhatvalueofF,bothblocks,movetogether.Apluggedholenearthebottomofthe,oscillatingbobgetssuddenlyunplugged.Themagnitudeofa,r,rrrrrr,coplanarvectorCsuchthatA.C=B.C=A.Bisgiven,by,[OnlineApril16,2018],,(a),,5,9,,(b),,10,9,,(c),,20,9,,(d),,9,12,,ur,AvectorAisrotatedbyasmallangleDqradian(DqT2,,7.,,(c)Thejockeyismovedsoastogetthenullpoint(i.e.,,nodeflectioninthegalvanometer).,,(b)Inreversebiasonp-njunctionwhenhighvoltageis,applied,electricbreakdownofjunctiontakesplace,,resultinglargeincreaseinreversecurrent.2019II],(a),,RTél1-3l2ù,ê,ú,ngël1I2û,,RTé2l1+l2ù,(b)gêlIú,ë12û,,nRTél1-l2ù,nRTé11ù,ê,ú,(d),ê+ú,gël1l2û,gël2l1û,Thetemperatureofanopenroomofvolume30m3increases,from17°Cto27°Cduetosunshine.Thentheresolvingpowerofthemicroscope,[OnlineApril19,2014],(a)increaseswithdecreasingvalueofn,(b)increaseswithdecreasingvalueofb,(c)increaseswithincreasingvalueofnsin2b,,(a)3,,72.,,IA,equals:,IB,,(b),,1,nsin2b,73.Letrp,reandrHe,betheirrespectiveradii,then,,[10April2019,I],(a)re>rp=rHe,(b)re<rp=rHe,(c)re<rp<rHe,(d)re>rp>rHe,10.(a)Given,B=4×10–5T,RE=6.4×106m,DipolemomentoftheearthM=?,mM,B=03,4pd,4´10-5=,,F,B,45°,m,,l,MBsin45°=Fsin45°,2,,F=2MB=2×1.8×18×10–6=6.5×10–5N,,4p´10-7´M,,24.,25.,26.,,3.6´10–5,,(0.3)3,10–7,Hence,M=9.7Am2,27.The,conditionforthebridgetobebalancedwillbe[2006],(a),,P,2R,=,QS1+S2,,(b),,PR(S1+S2),=,Q,S1S2,,(c),,PR(S1+S2),=,2S1S2,Q,,(d),,P,R,=,QS1+S2,,139.(d),,wwcosq,PQ=OP2+OQ2,,o,,45,,=132+52=12,Tensioninthestring,o,,45,,T=wcosq=,,F,,26.Apointchargeofmagnitude+1mCisfixedat(0,0,0).(c)Relativevelocityofthetubeofwidthl,,=v–(–v)v=2v,\Inducedemf.(d)Initialvelocityofparachute,afterbailingout,,u=,,2gh,,u=2´9.8´50=145,Thevelocityatground,,v=3m/s,v2-u2,32-980,»243m,S=,=,2´2,4,Initiallyhehasfallen50m.,\Totalheightfromwhere,hebailedout=243+50=293m,,50m,v,a=-2m/s2,,3m/sPage34:P-25,,MotioninaStraightLine,,43.Calculatethespeedoftheparticleattimet=t(assume,thattheparticleisatoriginatt=0).,[12Apr.Butkineticenergywillremainconstantasitisgiven,1,bymv2andv2isthesquareofthemagnitudeofvelocity,2,whichdoesnotchange.,(b)Thechargedparticlewillmovealongthelinesof,electricfield(andmagneticfield).Ifthis,squareloopischangedtoacircularloopanditcarriesthe,samecurrent,themagnitudeofthemagneticdipolemoment,ofcircularloopwillbe:,[10April2019,II],(a),,m,p,,(b),,3m,p,,(c),,2m,p,,(d),,4m,p,,x,,M,,N,(a)20A,perpendicularoutofthepage,(b)40A,perpendicularoutofthepage,(c)20A,perpendicularintothepage,(d)40A,perpendicularintothepage,46.Then:,[OnlineApril19,2014],X,Y,,q,,[2005],(d)100m,,f,OPage52:P-43,,LawsofMotion,,1,cosq,2,2,3,(c)sinf=cosq,(d)sinf=cosq,3,4,70.Temperaturedifferenceof120°Cismaintainedbetween,twoendsofauniformrodABoflength2L.ThecurrentI1(inA)flowingthrough1Wresistorinthe,followingcircuitis:,[7Jan.ThevalueoffinHziscloseto,(speedofsound=320ms–1),[OnlineApril10,2015],(a)8516,(b)8258,(c)8424(d)8000,82.The,resultantpressureonthemeshwillbe:[11Jan.2019I],2,2,(a)y=x+constant,(b)y=x+constant,(c)y2=x2+constant,,(d)xy=constant,,wtiˆ+sinwtĵwherewisaconstantandtistime.Forasimplependulum,agraphisplottedbetweenits,kineticenergy(KE)andpotentialenergy(PE)againstits,displacementd.(a)Whentheballattainsterminalvelocity,Weightoftheball=viscousforce+buoyantforce,\Vrg=6phrv+Vrlg,ÞVg(r-rl)=6phrv,,(,,',\v'h'=(r-rl)´vh,(r-rl),,Þv'=,,2,=1m´,,E=,=,,),,',AlsoVgr-ri=6ph'rv',,5,=10´=10–2Nm–2,5,(b)Totalvolumeofraindrops,received100cminayear,byarea1m2,,100,m=1m3,100,Asweknow,densityofwater,,d=103kg/m3,Therefore,massofthisvolumeofwater,M=d×v=103×1=103kg,Averageterminalvelocityofraindrop,v=9m/s(given),Therefore,energytransferredbyrain,,,2a2(r-s)g,9h,,VT=,,-2,,44.,,2r2(r-s)g,9,h,Asincaseofupwardmotionupwardforceistwiceits,effectiveweight,therefore,itwillmovewithsamespeed,10cm/s,(a)Terminalvelocityinaviscousmediumisgivenby:,,Andterminalvelocityv=,,=,49.,,(r-rl')vh,´,(r-rl)h',,(7.8-1.2)10´8.5´10-4,´,(7.8-1),13.2,,\v'=6.25´10-4cm/s,(a)Whentheballattainsterminalvelocity,Weightoftheball=Buoyantforce+Viscousforce,,1,mv2,2,,1,×103×(9)2,2,,1,×103×81=4.05×104J,2,(b)AccordingtoToricelli’stheorem,,Velocityofefflex,,,=,,45.,,W=Vr1g,,\Vr1g,,Veff=2gh=2´9.8´[email protected],46.,,B=Vr2g,,Fv,,(c),,T(upthrust),F,(viscous,force),,r,,W(weight),Weightofthebody,43,W=mg=prrg,3,43,T=prsg,3,andF=6phvr,Whenthebodyattainsterminalvelocitynetforceacting,onthebodyiszero.The,anglethroughwhicheitherpolaroidmustbeturnedifthe,intensityistodropbyone-halfis[OnlineMay7,2012],(a)135°,,10m,,50m,,(a)25m,10m,(c)22m,13m,,(b)13m,27m,(d)17m,20m,,(d)180°,,Statement-2:Thelightcomingfromtheskyispolarized,duetoscatteringofsunlightbyparticlesintheatmosphere.02,2020(I)]Page246:P-237,ur,20.(d)Resultantforceiszero,asthreeforcesarerepresented,bythesidesofatriangletakeninthesameorder.Therelativerefractiveindexofthetwo,mediais:,[OnlineApril19,2014],(a)0.2,(b)0.4,(c)0.8,(d)0.9,(d)increaseswithincreasingvalueofPage431:P-422,,74.,,75.,,76.,,77.,,Physics,,Inanexperimentofsingleslitdiffractionpattern,first,minimumforredlightcoincideswithfirstmaximumofsome,otherwavelength.Aplanoconvexlensofrefractiveindex1.5andradiusof,curvature30cm.Toresolveawidthof7.5×10–12m,theminimum,electronenergyrequirediscloseto:[10Jan.Totaketheleapthemanpushesthegroundwith,aconstantforceFtoraisehimself.Chargeson,eachofthecapacitorareasshowninthefigures.(c)Thediscmaybeassumedascombinationoftwosemi,circularparts.2019I],(a)102,(b)60,(c)6×102,(d)104,54.2019I],6,(a)1.1×10m/s,(b)1.7×106m/s,6,(c)1.8×10m/s,(d)1.45×106m/s,12.Youcandoallyourcalculationsinsidethis,“ScribblePad”.(b)Frequencyheardbytheobserver,æ,ö,vsound,vobserved=ç,÷v0,èvsound-vcosqø,Observer,O,D,q,SourceV,,Initiallyqwillbelesssocosqmore.,\vobservedmore,thenitwilldecrease.,,65.R+2n.Thecross-sectionalareaofthe,tapis10–4m2.Anothersamechargeqis,placedatadistanceLfromO.Thebandgapin(eV)forthe,semiconductoris,[2005],(a)2.5eV(b)1.1eV(c)0.7eV(d)0.5eV,,4,2,24,,68101214,(VCE)involtsPage488:P-479,,SemiconductorElectronics:Materials,DevicesandSimpleCircuits,,52.(c)Waterfillsthetubeentirelyingravitylesscondition,i.e.,20cm.,72.Thestringsmakeanangleof30°,witheachother.AverylongsolenoidofradiusRiscarryingcurrent,I(t)=kte–at(k>0),asafunctionoftime(t>0).(Curvesaredrawnschematicallyandarenotto,scale).,[Sep.2020(II)],4,3,(a)r,(b)r,(c)r(d),r2,41.TrainAandtrainBarerunningonparalleltracksinthe,oppositedirectionswithspeedsof36km/hourand72,km/hour,respectively.Theintensityofthe,wavesareintheratio:,[9Jan.Thepotential,differenceacrossBDinVis__________.,[NA.Arocketwithalift-offmass3.5×104kgisblastedupwards,withaninitialaccelerationof10m/s2.(d)y=0.02(m)sinê2pç,ú,÷0.04(,s,),0.50(,m)û,ø,ëè,Comparingitwiththestandardwaveequation,y=asin(wt-kx),weget,2p,w=,rads–1,0.04Page240:P-231,,Waves,,andk=,,2p,0.50,,Wavevelocity,v=,,w,k,,2p/0.04,=12.5m/s,2p/0.5,Velocityonastringisgivenby,,49.,,Þv=,,v=,,T,m,,\T=v2´m=(12.5)2×0.04=6.25N,46.Oneplano-convexandoneplano-concavelensofsame,radiusofcurvature‘R’butofdifferentmaterialsarejoined,sidebysideasshowninthefigure.Neglectingthespecific,heatofthecontainerandtakingspecificheatofwater,tobe1cal/gºC,theheatofvapourizationaccording,tothisexperimentwillcomeouttobe:,[OnlineApril11,2015],(a)560cal/g,(b)550cal/g,(c)540cal/g,(d)530cal/g,34.How,farapartthelensesshouldbesothatthefinalimageis,formedatinfinity?,[OnlineMay12,2012],(a)20mm,(b)100mm,(c)120mm,(d)80mm,Anexpermentisperformedtofindtherefractiveindexof,glassusingatravellingmicroscope.Therelation,betweentheirrespectivede-Brogliewavelengthsle,lHe++,andlpis:,[Sep.AbodyAofmassmismovinginacircularorbitofradius,Raboutaplanet.2019I],p,nrl3,(a)pnrl3,(b),3,p,nrl3,(c),(d)nrl3,4,35.Aparticlehasaninitialvelocityof3iˆ+4ˆjandan,accelerationof0.4iˆ+0.3ˆj.Considerthenuclearfission,Ne20®2He4+C12,Giventhatthebindingenergy/nucleonofNe20,He4and,C12are,respectively,8.03MeV,7.07MeVand7.86MeV,,identifythecorrectstatement:,[10Jan.(c)Touseanammeterinplaceofvoltmeter,wemust,connectahighresistanceinserieswiththeammeter.,Connectinghighresistanceinseriesmakesitsresistance,muchhigher.Whatisthe,orderofenergyofthegasduetoitsthermalmotion?,[10Jan2019II],3,5,(a)10J,(b)10J,(c)104J,(d)106J,A15gmassofnitrogengasisenclosedinavesselat,atemperature27°C.Whatwouldbethe,heatenergyabsorbedbythegas,inthisprocess?,[12April2019II],(a)25J,(b)35J,(c)30J,(d)40J,A25×10–3m3volumecylinderisfilledwith1molofO2,gasatroomtemperature(300K).03,2020(II)],(a)31°C,(b)33°C,(c)28°C,(d)35°C,59.Assumingthatonlygravitationalfieldof,theplanetactsonthespaceship,whatwillbethenumber,ofcompleterevolutionsmadebythespaceshipin24hours,aroundtheplanet?05,2020(II)],(a)V=,,r,R,,(a),,5.,,10q,,4pe0R2,(c)V=0;E=0,,(d)V=,2.,,10q,10q,;E=,4pe0R,4pe0R2,,TwoisolatedconductingspheresS1andS2ofradius,,2,R,3,,1,Rhave12mCand–3mCcharges,respectively,and,3,areatalargedistancefromeachother.The,momentofinertiaofthesystemabouttheaxisOO’,,passingthroughthecentreofD1,asshowninthefigure,,willbe:,[11Jan.The,energyoflightpassingthroughthepolariserper,revolution,iscloseto:,[Sep.Themaximumnumberofpossibleinterferencemaximafor,slit-separationequaltotwicethewavelengthinYoung’s,double-slitexperimentis,[2004],(a)three,(b)five,(c)infinite(d)zero,,Polarisationof,TOPIC3Diffraction,,LightandResolvingPower,48.ParticleAofmassmmovingwithvelocity(3$i+$j)ms-1,1,,collideswithanotherparticleBofmassm2whichisatrest,r,r,initially.InanexperimenttoverifyStokeslaw,asmallsphericalballof,radiusranddensityrfallsundergravitythroughadistanceh,inairbeforeenteringatankofwater.Thepercentageoferrorinzis:,[Sep.Acoilofinductance300mHandresistance2Wis,connectedtoasourceofvoltage2V.Theratio,(r1/r2),isthencloseto:,[10April2019(I)],(a)4/5,(b)2/5,(c)3/5,(d)2/3,57.MatchList-I(Event)withList-II(Orderofthetimeinterval,forhappeningoftheevent)andselectthecorrectoption,fromtheoptionsgivenbelowthelists:,[OnlineApril19,2014],List-I,(1)Rotation,periodofearth,,List-II,(i)105s,,(2)Revolution,(ii)107s,periodofearth,(3)Periodoflight(iii)10–15s,wave,(4)Periodof,(iv)10–3s,soundwave,(a)(1)-(i),(2)-(ii),(3)-(iii),(4)-(iv),,(b)(1)-(ii),(2)-(i),(3)-(iv),(4)-(iii),(c)(1)-(i),(2)-(ii),(3)-(iv),(4)-(iii),(d)(1)-(ii),(2)-(i),(3)-(iii),(4)-(iv)Page15:P-6,,Physics,,67.Themagneticfieldassociatedwithalightwaveisgiven,attheoriginby,B=B0[sin(3.14×107)ct+sin(6.28×107)ct].,Ifthislightfallsonasilverplatehavingaworkfunction,of4.7eV,whatwillbethemaximumkineticenergyofthe,photoelectrons?,[9Jan.Asshowninthefigure,twoinfinitelylong,identicalwires,arebentby90ºandplacedinsuchawaythatthesegments,LPandQMarealongthex-axis,whilesegmentsPSand,QNareparalleltothey-axis.Ifthecellisshuntedbyaresistanceof5W,abalance,isfoundwhenthecellisconnectedacross40cmofthe,wire.(c)Applyingconservationofenergy,,Electricpotentialenergyofcapacitor=heatabsorbed,100.ThepressureofanidealgasvarieswithvolumeasP=aV,,whereaisaconstant.AnoscillatorofmassMisatrestinitsequilibriumposition,1,2,inapotentialV=k(x-X).2020(I)],èRø,(a),,4,9,,(b),,5,9,,(c),,1,3,,(d),,7,9,,1,thofthatoftheEarth.Hydrogen(1,,(,,H1),Deuterium(,,2,1H),singlyionisedHelium,,He4)anddoublyionisedlithium,+,,2,,(,,3,,Li6),,++,,allhave,,oneelectronaroundthenucleus.Ifthe,smallestdivisionofthemainscaleishalf-adegree,(=0.5°),thentheleastcountoftheinstrumentis:[2009],(a)halfminute,(b)onedegree,(c)halfdegree,(d)oneminute,76.(a)Given:Radiusofairbubble,,r=0.1cm=10–3m,Surfacetensionofliquid,,S=0.06N/m=6×10–2N/m,Densityofliquid,r=103kg/m3,Excesspressureinsidethebubble,,rexe=1100Nm–2,Depthofbubblebelowtheliquidsurface,,h=?,Asweknow,,2s,rExcess=hrg+,r,2´6´10-2,Þ1100=h×103×9.8+,10-3,Þ1100=9800h+120,Þ9800h=1100–120,980,Þh=,=0.1m,9800,63.(d)Weknowthatdensity(d)=,X,,O,,mass(M),volume(V),,\M=d´V=d´(pR2´t).,,ThemomentofinertiaofadiscisgivenbyI=,A,,\IEF=,,I,2,,E,,B,,\Ix=,,...(i),,1,1,MxRx2=(d´pR2´t)R2,2,2,,1,MR2,2Page122:7,,P-113,,Gravitation,,Gravitation,TOPIC1Kepler'sLawsofPlanetary,Motion,1.,,4.,,Iftheangularmomentumofaplanetofmassm,moving,aroundtheSuninacircularorbitisL,aboutthecenterof,theSun,itsarealvelocityis:,[9Jan.Assumingthatthepolarizeranalysersetdoesnotabsorbanylight,theanglebywhich,theanalyserneedtoberotatedfurthertoreducethe,outputintensitytobezero,is:,[7Jan.Whichofthefollowingmodulatedsignalhasthebest,noise-tolerance?,[OnlineApril25,2013],(a)Long-wave,(b)Short-wave,(c)Medium-wave,(d)Amplitude-modulated,31.If,atmospherictemperaturearoundis20°C,thenthesphere's,temperatureafterthenext5minuteswillbecloseto:,[Sep.Threepositivechargesofequalvalueqareplacedat,verticesofanequilateraltriangle.(a),,r,,\,,2´0.1´9´109,1´3´108,,28.Itisfoundthatthemaximumspeedofthe,photoelectronsinthetwocasesdifferbyafactorof(2),Theworkfunctionofthemetal(ineV)iscloseto:,,1240,(Energyofphoton=linnmeV),(,),,[9Jan.Thegraphofvelocitywith,respecttotimeisshowninfigure.Apointmassoscillatesalongthex-axisaccordingtothe,,Oa1,,y,,p,3,,t,,g2,,w2,(d)atthehighestpositionoftheplatform,Themaximumvelocityofaparticle,executingsimple,harmonicmotionwithanamplitude7mm,is4.4m/s.Thevalueofmagneticfield:,(Restmassofprotonis1.6´10–27kg)[8Jan2020,I],(a)0.71mT,(b)7.1mT,(c)0.071mT,(d)71mT,Aparticlehavingthesamechargeasofelectronmoves,inacircularpathofradius0.5cmundertheinfluenceof,amagneticfieldof0.5T.Thee.m.f.,inducedinthecoilis:,[OnlineApril11,2014],(a)400mV,(b)200mV,(c)4mV,(d)0.4mV,21.Iftherefractiveindex,ofthematerialof1ism1andthatof2ism2,thenthefocal,lengthofthecombinationis:,[10Apr.2019I],,rO,,r,rO,(a)Electricfieldofauniformlychargedsphere,(b)Potentialofauniformlychargedsphericalshell,(c)Potentialofauniformlychargedsphere,(d)Electricfieldofauniformlychargedsphericalshell,10.2020(II)],81,9,3,3,(a),(b),(c),(d)256,16,4,2,22.2019II],3,(a)4264±81cm,(b)4264.4±81.0cm3,3,(c)4260±80cm,(d)4300±80cm3,Thepitchandthenumberofdivisions,onthecircular,scaleforagivenscrewgaugeare0.5mmand100,respectively.Then,dis:,[Sep.WireBis1.5mlong,andhasradius2mm.[9April2019I],(a)90°,(b)150°,(c)120°,(d)60°,,41.When12Visusedasinput,thepower,dissipated(inmW)ineachdiodeis;(consideringboth,zenerdiodesareidentical)_____.(b)Thefrequenciespresentinamplitudemodulated,waveare:,Carrierfrequency=wc,Uppersidebandfrequency=wc+wm,Lowersidebandfrequency=wc–wm.,nhc,l,(where,n=no.Aparallelplatecapacitorismadeoftwosquareplatesof,side‘a’,separatedbyadistanced(dmw2)therelative,changeinthelengthofthespringisbestgivenbythe,option:,[9Jan.AuniformcylinderofmassMandradiusRistobepulled,overastepofheighta(a<R)byapplyingaforceFatits,centre'O'perpendiculartotheplanethroughtheaxesof,thecylinderontheedgeofthestep(seefigure).The,fieldoccupiesaregionofspacebywidth‘d’.2020I],(a)60.7J(b)90.5J(c)100.8J(d)48JPage180:P-171,,Thermodynamics,,17.Ifthecoldjunctioniskeptat,0°C,thentheneutraltemperatureis,[2004],(a)1400°C,(b)350°C,(c)700°C,(d)Noneutraltemperatureispossibleforthistermocouple.,75.Thecountingrateobservedfromaradioactivesourceat,t=0was1600countss–1,andt=8s,itwas100counts,s–1.Aparticleperforminguniformcircularmotionhasangular,frequencyisdoubled&itskineticenergyhalved,thenthe,newangularmomentumis,[2003],L,(a),(b)2L,4,L,(c)4L,(d),2,127.Thefractionthatwas,remainingaftert/2is:,[Sep.Asignalof5kHzfrequencyisamplitudemodulatedona,carrierwaveoffrequency2MHz.Thefrequenciesofthe,resultantsignalis/are:,[2015],(a)2005kHz,2000kHzand1995kHz,(b)2000kHzand1995kHz,(c)2MHzonly,(d)2005kHzand1995kHz,26.Thecenterofgravity,risesby0.5mbeforeheleaps.(i),66.ApersonofmassMis,sittingonaswingoflengthLand,swingingwithanangularamplitudeq0.Ifthebarstartsrotatingabout,itscenterofmassasaresultofcollision,theangularspeed,ofthebarwillbe:,[OnlineApril15,2018],L/6,,v,,L/3,,2v,,O,,58.AwillbeatminimumdistancefromBin:,[8April2019I],(a)4.2hrs.,(b)2.6hrs.,(c)3.2hrs.,(d)2.2hrs.,42.Thepeakvalueofelectricfield,strengthis:,[2013],(a)3V/m,(b)6V/m,(c)9V/m,(d)12V/m,Aplaneelectromagneticwaveinanon-magneticdielectric,urur,mediumisgivenbyE=E0(4´10-7x-50t)with,distancebeinginmeterandtimeinseconds.(Given,meankineticenergyofamolecule(atT)is4×10–14erg,g=980cm/s2,,densityofmercury=13.6g/cm3)[Sep.(d)Horizontalforce,N=10N.,Coefficientoffrictionm=0.2.,f=mN,,10N,,t2=,,n,,°,30,,mg,mg,,10N,,10N,,W,,Theblockwillbestationarysolongas,Forceoffriction=weightofblock,\mN=W,Þ0.2×10=W,ÞW=2N,66.AtDwireformsacircularturnDMNDof,radiusR.,AB,BCpartsaretangentialtocircularturnatNandD.,Magneticfieldatthecentreofcircleis:,[8Jan2020,II],,(a),,m0Iæ,1ö,p+,÷,2pRçè,2ø,,(b),,m0Iæ,1ö,p÷,2pRçè,2ø,,(c),,m0I,(p+1),2pR,,(d),,m0I,2R,,B,,90°,60°,(b)6:4,(d)6:5,,em0nIR,m,,(c),,mv2B,,®,,®,,(c)-,,(a)Page325:P-316,,45.The,currentthroughthebatteryis,[2010],,(c)2RCln7,,C,,R1,,R2,,InanLCRcircuitshowninthefollowingfigure,whatwill,bethereadingsofthevoltmeteracrosstheresistorand,ammeterifana.c.sourceof220Vand100Hzisconnected,toitasshown?,[OnlineMay7,2012],,L,,L,,3RCln7,,(d),,K,,V,,2RCln2,,(b),,(b)2pLC,,(c)LC,(d)pLC,46.Ofthefour,choicesgivenafterthestatements,choosetheonethat,describesthetwostatements.,Statement1:Davisson-Germerexperimentestablishedthe,wavenatureofelectrons.,Statement2:Ifelectronshavewavenature,theycan,interfereandshowdiffraction.,[2012],(a)Statement1isfalse,Statement2istrue.,(b)Statement1istrue,Statement2isfalse,(c)Statement1istrue,Statement2istrue,Statement,2isthecorrectexplanationofstatement1,(d)Statement1istrue,Statement2istrue,Statement2is,notthecorrectexplanationofStatement1,Photoelectronsareejectedfromametalwhenlightof,frequencyufallsonit.Thetimeperiodofrevolutionofelectroninitsground,stateorbitinahydrogenatomis1.6´10–16s.Ifthesuspendedmassisatequilibrium,the,magnitudeoftheforceappliedis(g=10ms–2),[9Jan.2019II],(a),,2,,k,p,,(b)2,,p,k,,2k,2p,(d),p,k,AparticleofmassmisacteduponbyaforceFgivenby,,(c),,7.,,R,theempiricallawF=2v(t).Twosoapbubblescoalescetoformasinglebubble.Ifthesurfacehas,anareaof25cm2,themomentumtransferredtothesurface,in40mintimedurationwillbe:,[10April2019,II],(a)6.3×10–4Ns,(b)1.4×10–6Ns,(c)5.0×10–3Ns,(d)3.5×10–6Ns,Themagneticfieldofaplaneelectromagneticwaveis,givenby:,r,B=B$i[cos(kz–wt)]+B$jcos(kz+wt),0,,18.,,1,,WhereB0=3×10–5TandB1=2×10–6T.,Thermsvalueoftheforceexperiencedbyastationary,chargeQ=10–4Catz=0isclosestto:[9April2019I],(a)0.6N,(b)0.1N,(c)0.9N,(d)3×10–2N,Aplaneelectromagneticwaveoffrequency50MHztravels,infreespacealongthepositivex-direction.If,thecoilistiltedthrough45°aboutZ-axis,thenthetorque,onthecoilis:,[9April2019I],(a)0.38Nm,(b)0.55Nm,(c)0.42Nm,(d)0.27NmPage329:P-320,,77.,,Physics,,Arigidsquareofloopofside‘a’andcarryingcurrentI2is,lyingonahorizontalsurfacenearalongcurrentI1carrying,wireinthesameplaneasshowninfigure.Thecoefficientof,frictionbetweentheblockandfloorism=0.2.The,differencebetweentheaccelerationsoftheblock,incase,(B)andcase(A)willbe:(g=10ms–2),[12April2019II],,44.06,2020(II)],,100°C,,K1,,K2,,K3,,0°C,,70°C20°C,,16.,,17.,,18.,,19.,,(a)K1:K3=2:3,K1<K3=2:5,(b)K1<K2<K3,(c)K1:K2=5:2,K1:K3=3:5,(d)K1>K2>K3,Abulletofmass5g,travellingwithaspeedof210m/s,,strikesafixedwoodentarget.05,2020(I)],(a)G,(b)R1,(c)R1–G,(d)R1+GPage332:P-323,,MovingChargesandMagnetism,,97.Thenumber,ofemittedphotoelectronspersecondandtheirmaximum,energy,respectively,willbe:,[1eV=1.6×10–19J],[10Jan.Ifthemagnificationis,100andthetubelengthofthemicroscopeis20cm,thenthe,focallengthoftheeye-piecelens(incm)is__________.,[NASep.Thekineticenergy,ofthecombinedsystemis:,[Sep.Givenbelowintheleftcolumnaredifferentmodesof,communicationusingthekindsofwavesgiveninthe,rightcolumn.,[10April2019,I],A.Iftheexcitingwavelength,ischangedto3l/4,thespeedofthefastestemittedelectron,willbecome–,,(a)v,,3,4,,(b)v,,22.,,Theactivityofaradioactivesubstancedropsto1/32ofits,initialvaluein7.5h.Theappropriatecircuittodosois:,[12April2019,I],,102.,,103.,,104.,(a),,(b),105.,(c),,0–5V.Then,whichofthefollowingwavelengthswillnotbepresentin,theemissionspectrumofthisatom?,[OnlineMay12,2012],(a)207nm,(b)465nm,(c)310nm,(d)620nm,46.Whichofthecombinations,,è13ø,showninfiguresbelow,willachievethedesiredvalue?,[11Jan.WhichofthefollowingstatementsisFALSEforaparticle,movinginacirclewithaconstantangularspeed?Thesystemisreleasedfromrest.Acapillarytube(A)isdippedinwater.Page438:P-429,,WaveOptics,,Givend=2l,,48.,,n,\2lsinq=nlÞsinq=,2,n=0,1,–1,2,–2hencefivemaximaarepossible.,(d)Given:,Intensity,I0=3.3Wm–2,Area,,A=3×10–4m2,Angularspeed,w=31.4rad/s,,Averageenergy=I0A<cos2q>,Q<cos2q>=,,1,perrevolution,2,,\Averageenergy=,49.,,(3.3)(3´10-4),;5´10-4J,2,,(198),Forobtainingsecondaryminimaatapointpathdifference,shouldbeintegralmultipleofwavelength,,=,,=5368×10–2m=53.68m»60m,51.Itcanoscillate,withoutslipping,orsliding(i)initsplanewithatimeperiodT1and,(ii)back,andforthinadirectionperpendiculartoitsplane,witha,periodT2.The,frequencyoftheoscillationis[OnlineApril16,2018],(c),,x,,46.,,B,,13k,12k,16k,1k,(b),(c),(d),2πm,2πm,2πm,2πm,Asimplependulum,madeofastringoflengthlandabob,ofmassm,isreleasedfromasmallangleq0.Aparticleisprojectedwithaspeedu=2ms–1,,fromthebaseoftheplane,asshowninfigure.Thespringiscutintotwopiecesof,unstretchedlengths11andl2where,l1=nl2andnisan,integer.(a)K.E.ofabodyundergoingSHMisgivenby,,1,22,2,mawcoswt,2,Here,a=amplitudeofSHM,w=angularvelocityofSHM,K.E.Thesmallesttemperaturedifferencethat,canbedetectedbythissystemis[2003],(a)16°C,(b)12°C,(c)8°C,(d)20°C,77.Thewavelengthsofthespectrallines,aregivenbyl32,l31andl21.Ametalwireofresistance3Wiselongatedtomakeauniform,wireofdoubleitspreviouslength.AcurrentIflowsalongthelengthofaninfinitelylong,,straight,thinwalledpipe.Then,,[2006],(a)D1<D2,(b)D1=D2,(c)D1canbelessthanorgreaterthanD2depending,upontheangleofprism,(d)D1>D2,82.04,2020(II)],,E0,(xˆ-yˆ)sin(kz-wt),c,E,(d)0(xˆ-yˆ)cos(kz-wt),c,Themagneticfieldofaplaneelectromagneticwaveis,ur,ˆ,B=3´10-8sin[200p(y+ct)]iT,,(c),,6.,,E0,m0e0,,cos(kx)ˆj,,Aplaneelectromagneticwave,hasfrequencyof2.0×1010,Hzanditsenergydensityis1.02×10–8J/m3invacuum.,Theamplitudeofthemagneticfieldofthewaveiscloseto,,Nm2,1,=9´1092andspeedoflight=3×108ms–1):,4pe0,C,[Sep.Apositivepointchargeisreleasedfromrestatadistance,r0fromapositivelinechargewithuniformdensity.Itsmagneticfield,isalong+x-axis.If1cm3ofbloodisdrawnfromtheanimal'sbody,after10hrsofinjection,theactivityfoundwas300decays,perminute.Aconvexlensoffocallength20cmproducesimagesof,thesamemagnification2whenanobjectiskeptattwo,distancesx1andx2(x1>x2)fromthelens.Forthis,spheretheequipotentialsurfaceswithpotentials,3V05V03V0,V0,,,,,and,haveradiusR1,R2,R3andR4,2,4,4,4,respectively.Whilemovinguphillontheroadat,20,aspeedof10ms–1,thecarneedspowerP.Thus,work,doneiszero.,102.ArayisincidentonthefaceABatanangleq,(showninthefigure).CQisnormal.,,dv,v2æduö,=-2ç÷,dt,uèdtø,,Q,,Also,,v,f,=,uu–f,,r',P,,2,,æfödu,dv,=-ç,Þ,èu-fø÷dt,dt,,r,,60°,,2,,10.,,11.,,12.,,m=3,,dv1,=,m/s,dt15,,(b)Thenumberofimagesformedisgivenby,360,n=,-1,q,360,-1=3,Þ,q,360°,Þq=,=90°,4,(a)Whentwoplanemirrorsareinclinedateachotherat,anangleqthenthenumberoftheimages(n)ofapoint,objectkeptbetweentheplanemirrorsis,360°,-1,,n=,q,360°,(if,iseveninteger),q,360°,-1=5,\Numberofimagesformed=,60º,(158),15,Fromfigure,sini=,andsinr=sin45°,2,15+302,FromSnell'slaw,m´sini=1´sinr,Þm´,,15,2,,15+30,,2,,=1´sin45°=,,r,,30cm,,1,,ApplySnell'slawatP,1sin60°=3sinr,1,Þr=30°,2,Fromgeometry,CP=CQ,Þsinr=,,\r'=30°,Againapplysnell'slawatQ,,,3sinr'=1sine,,3,=sineÞe=60°,2,Fromgeometry,(Asanglesliesonastraightline),r'+q+e=180°,Þ,,Þ30°+q+60°=180°Þq=90°.,,14.2019II],,37.Afterthecollision,theprotonand,theunknownparticleareseenmovingatanangleof90°,withrespecttoeachother.Anammeterreadsupto1ampere.WhenUraniumisbombardedwithneutrons,itundergoes,fission.(Bonus),,or,,Case2,Magnetiscutintotwoidenticalpiecessuchthateach,piecehashalftheoriginallength.,ThenT¢=2p,,\,,I,MB,,7.5´10-6,-2,,=,,2p,´1.06s,10,,6.7´10´0.01,Timetakenfor10completeoscillations,t=10T=2p×1.06,=6.6568»6.65sPage357:20,,P-348,,Physics,,Electromagnetic,Induction,MagneticFlux,Faraday's,TOPIC1,andLenz'sLaw,1.,,3.,,Twoconcentriccircularcoils,C1andC2,areplacedinthe,XYplane.The,temperatureofsurroundingsisconstantat25°C.Anobjectofmassmissuspendedattheendofamassless,wireoflengthLandareaofcross-section,A.Whentheballoonclimbsupafurther,heighth2,itisseenatanangle60ºwithrespecttothevertical,ifthegirlmovesfurtherbyadistance2.464d(pointC).Initially,theyhavethesamenumberofatoms.Adiverlookingupthroughthewaterseestheoutside,worldcontainedinacircularhorizon.Themassesofmoleculesarem1,m2andm3and,thenumberofmoleculesaren1,n2andn3respectively.,Assumingnolossofenergy,thefinaltemperatureofthe,mixtureis:,[2011],,28.,,n1T12+n2T22+n3T32,n1T1+n2T2+n3T3,,(T1+T2+T3),3,,Onekgofadiatomicgasisatapressureof,8×104N/m2.06,2020(I)],L=50mHI,,R=2W,,P,,8.,,9.,,Q,30V,AnACcircuithasR=100W,C=2mFandL=80mH,,connectedinseries.(c),41.Ifadielectricmaterialofdielectric,5,constantk=isinsertedbetweentheplates,the,3,magnitudeoftheinducedchargewillbe:,[2018],(a)1.2nC(b)0.3nC(c)2.4nC(d)0.9nC,74.Iftherelativedifferenceintheperiods,isfoundtobe5×10–4s,thedifferenceinradii,|r1–r2|,isbestgivenby:,[OnlineApril9,2017],(a)1cm,(b)0.1cm(c)0.5cm(d)0.01cmPage213:P-204,,52.,,53.,,54.,,1,1,1,Hz(c),Hz,Hz,(a),(b),(d)2Hz,22,4,2,Apendulumclockloses12sadayifthetemperatureis,40°Candgains4sadayifthetemperatureis20°C.Thefluxofthefield,,),,2,(d),22,22,67.(d)Electromagneticwavesdonotrequiredanymedium,topropagate.Theratioof,thenumberdensityofphotonsofX-raystothenumber,densityofphotonsofthevisiblelightofthegiven,wavelengthsis:,[Sep.Thevalueoftheresistance,whichcanconvert,thisgalvanometerintoammetergivingafullscaledeflection,foracurrentof10A,is:,[2016],(a)0.1W(b)3W,(c)0.01W(d)2W,113.2020I],Height,,A,,14.There,isauniformmagneticfieldof0.1Tinthepositive,z-direction.Heappliesaforceof200Noveradistanceof,15m.Thedimensionof,l,inSIunitswillbe:,[12Jan.Inalineofsightratiocommunication,adistanceofabout,50kmiskeptbetweenthetransmittingandreceiving,antennas.Whenthisarrangementistakeninto,amineofdepthd,theheightofthewatercolumnisy.AninfinitelylongstraightwirecarryingcurrentI,oneside,openedrectangularloopandaconductorCwithasliding,connectorarelocatedinthesameplane,asshowninthe,figure.Boththeemptypansofthebalance,areofequalmass.(a)ForI=,andI=I0cosq=,2,2,\q=45°,Thereforetheanglethroughwhicheitherpolaroidsturned,is135°(=180°–45°),80.Itisrecastintoawireofradius.C2carriesatimedependent,currentI(t)=(5t2–2t+3)AWheretisins.Ifeachofthesespheres,acquiresaterminalvelocity,v2,whenfallingthroughthe,samefluid,theratio(v1/v2)equals:[12April2019(II)],(a)9,(b)1/27(c)1/9,(d)27Page152:P-143,,MechanicalPropertiesofFluids,,42.Waterfromatapemergesverticallydownwardswithan,initialspeedof1.0ms–1.Intheisothermalexpansionof10gofgasfromvolume,Vto2Vtheworkdonebythegasis575J.Thechargingbatteryisnow,disconnectedandaporcelainslabofdielectricconstant,6.5isslippedbetweentheplates.Howmuchwastheresistance,ontheleftslotbeforeinterchangingtheresistances?,[2018],(a)990W,,(a)20W,(b)40W,(c)60W,(d)30W,123.(Figuredrawnasschematicandnot,toscale),[Sep.Aparticleofchargeqis,passingthroughtheirmidpointP,atangleq=45°withthe,horizontalline,asshowninfigure.2020I],(a)1.6´1014,(b),7.8´1014,(c)6.2´1015,(d),5.6´1012,11.Becauseof,torsionalconstantk,therestoringtoruqueist=kqfor,angulardisplacementq.(b)DuetothemovementofresistorR,anemfequalto,Blvwillbeinducedinitasshowninfigureclearly,,P,lBlv,RW,,5Bl2w,=,2,41.Theradiusof,theatomintheexcitedstate,intermsofBohrradiusa0,,willbe:,[11Jan2019I],(a)25a0,(b)9a0,(c)16a0,(d)4a0,,19.2020I],(a)60m,(b)20m,(c)200m,(d)600m,Apolarizer-analysersetisadjustedsuchthatthe,intensityoflightcomingoutoftheanalyserisjust10%of,theoriginalintensity.Whenthecellis,replacedbyanotheroneofemfe=e2thesamenullpoint,JisfoundforRh=6W.Theleastquantumnumberfortheexcited,stateoftheionfortheprocessis:,[OnlineApril9,2016],(a)2,(b)4,(c)5,(d)3,Asanelectronmakesatransitionfromanexcitedstateto,thegroundstateofahydrogen-likeatom/ion:,[2015],(a)kineticenergydecreases,potentialenergyincreases,buttotalenergyremainssame,(b)kineticenergyandtotalenergydecreasebutpotential,energyincreases,(c)itskineticenergyincreasesbutpotentialenergyand,totalenergydecrease,(d)kineticenergy,potentialenergyandtotalenergydecrease,Thede–Brogliewavelengthassociatedwiththeelectron,inthen=4levelis:,[OnlineApril11,2015],1,thofthede–Brogliewavelengthoftheelectron,4,inthegroundstate.,(b)fourtimesthede–Brogliewavelengthoftheelectron,inthegroundstate,(c)twotimesthede–Brogliewavelengthoftheelectron,inthegroundstate,(d)halfofthede–Brogliewavelengthoftheelectronin,thegroundstate,,(a),,31.(c)Lengthofpipe=85cm=0.85m,Frequencyofoscillationsofaircolumninclosedorgan,pipeisgivenby,,(2n-1)u,f=,4L,(2n-1)u,f=,£1250,4L,(2n-1)´340,£1250,Þ,0.85´4,Þ2n–1<12.5»6,39.Byconnectingthecommon(negative),terminalofthemultimetertoRandtheother(positive),terminaltoPorQ,someresistanceisseenonthemultimeter.,Whichofthefollowingistrueforthetransistor?(a)Tofindtherefractiveindexofglassusingatravelling,microscope,avernierscaleisprovidedonthemicroscope,97.Thenormalreactionofthetrackon,theparticlevanishesatpointYwhereOYmakesanglef,withthehorizontal.2020I],a-particlesis:,q:Scatteringangle,Y:Numberofscattereda-particlesdetected,(Plotsareschematicandnottoscale),,ModelandtheSpectra,TOPIC2Bohr's,oftheHydrogenAtom,5.,,(b),,(a),,Ana-particleofenergy5MeVisscatteredthrough180ºbya,fixeduraniumnucleus.Theearth’smagneticfieldlinesresemble,thatofadipoleatthecentreoftheearth.Themaximumexternalforceupthe,inclinedplanethatdoesnotmovetheblockis10N.Ifthepistonisstationary,itsmass,m,willbegivenby:,(Risuniversalgasconstantandgistheaccelerationdueto,gravity),[12Jan.(c)Frequency,f=,,Thereforefrequencyrange454.54±12kHz,i.e.,442kHz–466kHz,19.TheplatecurrentIofthephotocellvariesas,follows,[2006],,67.,,68.,,69.,(a),,(b),,I,,I,,70.,O,,(c),,I,,(d),O,,66.,,O,,l,,l,,l,,(c)increasebyafactorof2,(d)decreasebyafactorof2,AradiationofenergyEfallsnormallyonaperfectly,reflectingsurface.Twocircuits(a)and(b)havechargedcapacitorsof,capacitanceC,2Cand3Cwithopenswitches.Showninthefigureisahollowicecreamcone(itisopenat,thetop).Considertelecommunicationthroughopticalfibres.Theamplitudeofelectricfieldis,4V/m.Itisemployedtomeasure,thee.m.f.ofabatterywhoseinternalresistanceis0.5W.2019I],,(a),,6.,,IfVoisalmostzero,identifythecorrectstatement:,,R0,,2,,(b)R(T)=R0e-T0/T,,T2,-T2/T02,,2,,2,,2,,(d)R(T)=R0eT/T0,Spacebetweentwoconcentricconductingspheresofradii,aandb(b>a)isfilledwithamediumofresistivityr.Inaphotoelectriceffectexperimentthethreshold,wavelengthoflightis380nm.TwochargesAandB,of–Q,each,areplacedondiametricallyoppositepoints,atequal,distance,a,fromthecentre.Whichofthefollowingcorrectly,givesthePlancklength?,[OnlineApril15,2018],1,ö2,,1,æGh,23,(a)G2hc(b)ç3÷,(c),2h2c(d)Ghc,G,ècø,20.05,2020(II)],2mF,,4mF,,(a)450mC,(b)590mC,(c)160mC,(d)650mC,51.(d)Electronsinanunbiasedp-njunction,diffusefrom,n-regioni.e.higherelectronconcentrationtop-region,i.e.lowelectronconcentrationregion.,n,29.IonisationenergyofLi(Lithium)atomingroundstateis,5.4eV.Abodyofmass‘m’istiedtooneendofaspringand,whirledroundinahorizontalplanewithaconstantangular,velocity.OneofthetwoidenticalconductingwiresoflengthLis,bentintheformofacircularloopandtheotheroneinto,acircularcoilofNidenticalturns.Thentheelastic,energystoredinthewireis,[2003],(a)0.2J,(b)10J,(c)20J,(d)0.1J,AballwhosekineticenergyisE,isprojectedatanangleof,45°tothehorizontal.06,2020(II)],,(c)U=,,(a)T,,gM2v,(b),K,2R,,(c),,5,6,RTandg=,2,5,,(b),,1,T,,1,(d)T,T,MatchtheCp/Cvratioforidealgaseswithdifferenttype,ofmolecules:,[Sep.Theapparentshiftinthe,positionofthebottomofthebeakerwhenviewedfrom,aboveis,[2011RS],,æ,æ,1ö,1ö,(a)ç1+m÷h1-ç1+m÷h2,è,1ø,è,2ø,æ,æ,1ö,1ö,(b)ç1-m÷h1+ç1-m÷h2,è,1ø,è,2ø,,containedinacircularhorizon.Oneofthemdoesitincorrectly.Giventhat1gofwaterinliquidphasehasvolume1cm3,andinvapourphase1671cm3atatmosphericpressure,andthelatentheatofvaporizationofwateris2256J/g;the,changeintheinternalenergyinjoulesfor1gofwaterat,373Kwhenitchangesfromliquidphasetovapourphase,atthesametemperatureis:,[OnlineApril22,2013],(a)2256,(b)167,(c)2089,(d)1,41.Ifthehandmoves0.2mwhileapplyingthe,forceandtheballgoesupto2mheightfurther,findthe,magnitudeoftheforce.Allthesubsequentcollisions,arealsoperfectlyinelastic.02,2020(I)],52.AnothercellE2ofemf1.02Vis,connectedwitharesistance'r'andswitchS(asshownin,figure).(b)Whenviewedthroughapolaroidwhichisrotated,thenthelightfromaclearblueportionoftheskyshowsa,riseandfallofintensity.Theratio,,a,b,,Q,,c,DT,,59.,,(a)P,MandD,,(b)M,DandP,,(c)P,DandM,,(d)D,MandP,,Agivenidealgaswithg=,,Cp,,=1.5atatemperatureT.ThemagneticfieldatpointOwillbecloseto:,[9Jan.The,passaxisofP2isinclinedat60otothepassaxisofP3.The,lengthofthestringisreducedgraduallykeepingthe,angularmomentumofthestoneaboutthecentreofthe,circleconstant.InaWheatstone'sbridge,threeresistancesP,QandR,connectedinthethreearmsandthefourtharmisformed,bytworesistancesS1andS2connectedinparallel.ItiskeptinauniformelectricfieldE.Therefore,theyaresuperimposedonahigh,frequencycarriersignalbyaprocessknownasmodulation.,Speedofelectro-magneticwaveswillnotchangedueto,modulation.(a)ANDGate,,Y,,InthiscaseoutputYisequivalenttoANDgate.,87.Ifitisslightly,rotatedfromitsequilibriumorientation,thenitsangular,frequencywis:,[8April2019,II],qE,qE,qE,2qE,(b),(c)2,(d),md,md,2md,md,58.Eachliquidsubtends90ºangleatcentre.IdentifythegateandmatchA,B,Yinbrackettocheck.,[OnlineApril9,2014],A,B,,(a),(b),(c),(d),,A.B,Y,,AND(A=1,B=1,Y=1),OR(A=1,B=1,Y=0),NOT(A=1,B=1,Y=1),XOR(A=0,B=0,Y=0)Page492:P-483,,SemiconductorElectronics:Materials,DevicesandSimpleCircuits,,87.,,Whichofthefollowingcircuitscorrectlyrepresentsthe,followingtruthtable?,[OnlineApril25,2013],,5V,,ABC,C,,000,010,,1,A,,101,110,,2,B,,(a),,C,,A,B,,A,(b)B,,C,,A,B,,C,,(c),,A,Y,,(d)A,B,88.,,(a)ANANDB,(b)AORB,(c)AANDB,(d)ANORB,90.Iftheseresistancearenow,connectedinparallelcombinationtothesamebattery,the,electricpowerconsumedwillbe:,[11Jan.Ifcurrentinprimary,coilis4A,thenthatinthesecondarycoilis,[2002],(a)4A,(b)2A,(c)6A,(d)10A.The,twoloopsareinthesameplane.Ofthe,fourchoicesgivenafterthestatements,choosetheone,thatbestdescribesthetwostatements.,[2011],Statement–1:Skywavesignalsareusedforlong,distanceradiocommunication.Andwhen,V<6Vitwillfollowtheinutvoltage.,(c)Accordingtoquestion,whendiodeisforwardbiased,,Vdiode=0.5V,Safelimitofcurrent,I=10mA=10–2A,Rmin=?,–2,,10A,0.5volt,1.5V,Voltagethroughresistance,,hc1237.5,=,=3.09eV,l,400,,6.,,4V,,3.,,(d)Given,,Wavelengthofphoton,l=400nm,Aphotodiodecandetectawavelengthcorrespondingto,theenergyofbandgap.Thecalculationisdoneinthefollowingsteps:,(i)Takecurrent‘I’enteringfrom‘A’andassumeittospread,overahemisphericalsurfaceintheblock.,(ii)CalculatefieldE(r)atdistance‘r’fromAbyusingOhm’s,lawE=rj,wherejisthecurrentperunitareaat‘r’.,(iii)Fromthe‘r’dependenceofE(r),obtainthepotentialV(r)atr.,(iv)Repeat(i),(ii)and(iii)forcurrent‘I’leaving‘D’and,superposeresultsfor‘A’and‘D’.,I,,a,A,,I,,DV,,a,,b,B,,C,,27.(c)Fromquestion,,Horizontalvelocity(initial),,,=,,2,,=100,,1g(OA)2,2u2cos2q,1,10´16,=4-´,=2.4m,1,1,2,10´10´,´,2,2Page43:P-34,,33.,,Physics,,(d)R=,,u2sin2q,u2sin2q,,H=,g,2g,,vr,,Hmaxat2q=90°,,vr,,u2,Hmax=,2g,,u2sin2q,u2,ÞRmax=,g,g,,tan60°=,,v2sin2qv2sin90°v2,=,=,WhereRmax=,g,g,g,,tan45°=,...(i),,35.,,v4,g2,,(a)Aprojectilehavesamerangefortwoangle,Letoneanglebeq,thenotheris90°–q,,T1=,,vr,v,,...(i),,2usinq,2ucosq,,T2=,g,g,,vr,(b+1)v,,3v=(b+1)vÞb=3-1=0.732.,40.Apersonof80kgmassisstandingontherimofacircular,platformofmass200kgrotatingaboutitsaxisat5,revolutionsperminute(rpm).A,galvanometerofresistance100Wistobeusedasan,ammetertomeasurecurrentthroughtheresistance,for,thisaresistancersisconnectedtothegalvanometer.2019(I)],(a)6,(b)4,(c)7,(d)5,,32.Abulletofmass4gisfiredhorizontallywithaspeedof,300m/sinto0.8kgblockofwoodatrestonatable.AttemperatureT,ifthevolumecharge,densityoftherodisr,howlongwillthechargestaketo,traveladistanced?,[OnlineApril15,2018],(a),,2rdA,IT,,(b),,2rdA,I,,(c),,rdA,I,,(d),,rdA,IT,,I,,V,,V,,(c),,(d),I,,I,,19.showsnodeflectionis:[10Jan.Thetruthtablegiveninfig.Giventhatsurfacecharge,densitiesoftheconcentricspheresareequal,thepotential,differenceV(R)–V(4R)is:,[Sep.IftheserieslimitfrequencyoftheLymanseriesisv1,then,theserieslimitfrequencyoftheP-fundseriesis:,[2018],(a)25nL,(b)16nL(c)nL/16,(d)nL/25,22.Thisisbecause,linearmomentumisavectorquantity.Thevalueofthe,coefficientais:,[8April2019I],3,(a)12,(b)35,(c)85,(d),2,96.2020I],38.Thelength,ofthecylinderis:(VSDisvernierscaledivision),[Sep.05,2020(I)],252,32,(a),CV,(b),CV,6,2,92,(c)zero,(d),CV,2,48.2019I],,(a)3A,(b)5A,(c)4A,(d),2A,60.Itsintialspeedisv0=,12,10ms–1.Theratiooftheforcesduetothese,liquidsexertedonupperpartMNtothatatthelowerpartNO,is(Assumethattheliquidsarenotmixing):[8Jan2020(II)],(a)1/3,(b)2/3,(c)1/2,(d)1/4,7.Ifthemassperunitareaofthediscvariesas,æs0ö,ç,÷,thentheradiusofgyrationofthediscaboutitsaxis,èrø,passingthroughthecentreis:,[12Apr.Magneticmaterialsusedformakingpermanentmagnets,(P)andmagnetsinatransformer(T)havedifferent,propertiesofthefollowing,whichpropertybestmatches,forthetypeofmagnetrequired?[OnlineApril22,2013],(a)Statement-1istrue,Statement-2isfalse.,(b)Statement-1isfalse,Statement-2istrue.,(c)Statement-1istrue,Statement-2istruebut,Statement-2isnotthecorrectexplanationof,statement-1.,(d)Statement-1istrue,Statement-2istrueand,Statement-2isthecorrectexplanationofStatement-1.,Ifacarrierwavec(t)=Asinwctisamplitudemodulatedby,amodulatorsignalm(t)=Asinwmtthentheequationof,modulatedsignal[Cm(t)]anditsmodulationindexare,respectively,[OnlineApril9,2013],(a)Cm(t)=A(1+sinwmt)sinwctand2,(b)Cm(t)=A(1+sinwmt)sinwmtand1,(c)Cm(t)=A(1+sinwmt)sinwctand1,(d)Cm(t)=A(1+sinwct)sinwmtand2,Aradarhasapowerof1kWandisoperatingatafrequency,of10GHz.Itislocatedonamountaintopofheight500m.,Themaximumdistanceuptowhichitcandetectobject,locatedonthesurfaceoftheearth,(Radiusofearth=6.4×106m)is:,[2012],(a)80km,(b)16km(c)40km(d)64km,Aradiotransmittertransmitsat830kHz.Atacertain,distancefromthetransmittermagneticfieldhasamplitude,4.82×10–11T.Theelectricfieldoflightwaveisgivenas,,r,æ2px,öN,E=103cosç,-2p´6´1014t÷x$,-7,è5´10,øC,Thislightfallsonametalplateofworkfunction2eV.Theballexperiencesaresistiveforce,mkv2wherevisitsspeed.Page127:P-118,,Physics,,MotionofSatellites,Escape,TOPIC5,SpeedandOrbitalVelocity,47.,,48.,,49.,,AsatelliteisinanellipticalorbitaroundaplanetP.E.l=-f,...(i),l,(formonochromaticlightofwavelengthl),wherefisworkfunction,hc,K.Onshuntingthecellwitharesistanceof2W,,thebalancinglengthbecomes120cm.03,2020(II)],(a)5,(b)6,(c)3,(d)7,Agasmixtureconsistsof3molesofoxygenand5molesof,argonattemperatureT.Halfmoleofanidealmonoatomicgasisheatedatconstant,pressureof1atmfrom20°Cto90°C.Itsmoment,ofinertiaaboutanaxisgoingthroughitscentreofmass,andperpendiculartoitsplaneis:,[10Apr.Thespring,isstretchedby2cmandreleasedsothatitstartsvibrating.,Whatwouldbetheorderofmagnitudeofthechangein,thetemperatureofwaterwhenthevibrationsstop,completely?The,minimumvalueofFrequiredis:,[Sep.Thecapacitanceofcapacitoris:,[OnlineApril19,2014],(a)Î0(Î1+Î2)A/d,(b)Î0(Î2+Î1)A/2d,(c)Î0A/éëdln(Î2/Î1)ùû,(d)Î0(Î2-Î1)A/ëédln(Î2/Î1)ûù,88.Consequentlythemeancollisiontimebetween,thegasmoleculechangesfromt1tot2.Thecapacitanceof,thesecondcapacitoris:,[Sep.(b)Inparallel,equivalentcapacitanceofncapacitorof,capacitanceC,C¢=nC,Energystoredinthiscapacitor,112,E=CV,2,1,1,2,2,ÞE=(nC)V=nCV,2,2,C,C,ntimes,,C,,2,,Q,.,2C,Whenadielectricslabisintroducedbetweentheplates,,byU=,,2m.Ifits,periodofoscillationisT¢,theratio,(a),,1,22,,(c)2,,(b),,1,2,,(d),,1,4,,T',is,T,,[2003],,38.ThisquestionhasStatement1andStatement2.Whennocurrentpassesthrough‘P’andacurrentof,2Apassesthrough‘Q’,thefluxthrough‘P’is:,[9Apr.IndianInstitutesofScienceEducationandResearch(IISER),,Bhopal,4.(a)Momentum,p=m×v,,=,,Given,massofabody=3.513kgspeedofbody,=(3.513)×(5.00)=17.565kgm/s,=17.6(Roundingofftogetthreesignificantfigures),77.2019I],(a)0.01J,(b)0.007J,(c)0.028J,(d)0.014J,Amagneticdipoleinaconstantmagneticfieldhas:,[OnlineApril8,2017],(a)maximumpotentialenergywhenthetorqueismaximum,(b)zeropotentialenergywhenthetorqueisminimum.,(c)zeropotentialenergywhenthetorqueismaximum.,(d)minimumpotentialenergywhenthetorqueismaximum.,Amagneticdipoleisacteduponbytwomagneticfields,whichareinclinedtoeachotheratanangleof75°.2019I],,(a)1,2,(b)2,2,(c)0.5,0,(d)0,1,59.Thedistancetravelledbyabodymovingalongalinein,timetisproportionaltot3.,Theacceleration-time(a,t)graphforthemotionofthe,bodywillbe,[OnlineMay12,2012]Page25:P-16,,Physics,(x1–x2),,(x1–x2),,a,,a,,(a),,(b),,(c),,t,,t,,a,(d),,t,,Thegraphofanobject’smotion(alongthex-axis)isshown,inthefigure.IfinacircularcoilAofradiusR,currentIisflowingandin,anothercoilBofradius2Racurrent2Iisflowing,thenthe,ratioofthemagneticfieldsBAandBB,producedbythem,willbe,[2002],(a)1,(b)2,(c)1/2,(d)4,,TOPIC3,71.,,Asquareloopofside2aandcarryingcurrentIiskeptisxz,planewithitscentreatorigin.Atsomeinstant,itsplitsinto,twoequalmasses.(a)NORgateisthecombinationofNOTandORgate.,,95.Aseriesresistanceof2MWisrequiredto,converttheabovegalvanometerintoavoltmeterofrange,,(a)5W,(b)22W,(c)25W,(d)12W,106.Thecoefficient,offriction,betweentheparticleandtheroughtrack,equalsm.04,2020(I)],Inahydrogenatomtheelectronmakesatransitionfrom(n,+1)thleveltothenthlevel.Iftherodisrotatedbyq0and,released,thetensioninitwhenitpassesthroughitsmean,positionwillbe:,[9Jan.Thedistanceofthe,squarefromthelensis40cm.A,,0,,0,,0,,0,,(A+B).A,1,,0,1,1,,1,0,1,,1,1,1,,0,1,1,,1,0,0,,78.Pickoutthewrongstatementfrom,thefollowing.,[OnlineMay26,2012],(a)Noelectronsareemittedifuislessthan,W/h,whereWistheworkfunctionofthemetal,(b)Theejectionofthephotoelectronsisinstantaneous.,(c)Themaximumenergyofthephotoelectronsishu.,(d)Themaximumenergyofthephotoelectronsis,independentoftheintensityofthelight.,ThisquestionhasStatement1andStatement2.Thetorqueaboutthepoint(1,–1)is,[2006],Z,,O,,Y,,X,,(a)F(iˆ-ˆj),(b)-F(iˆ+ˆj),ˆ,ˆ,(c)F(i+j),(d)-F(iˆ-ˆj),69.Itrolls,downaninclinewithoutslippinganditsspeedatthebottom,isv0.AcapacitorC1ischargeduptoavoltageV=60Vby,connectingittobatteryBthroughswitch(1),NowC1is,disconnectedfrombatteryandconnectedtoacircuit,consistingoftwounchargedcapacitorsC2=3.0mFandC3=,6.0mFthroughaswitch(2)asshowninthefigure.WhichofthefollowingwillNOTbeobservedwhena,multimeter(operatinginresistancemeasuringmode),probesconnectedacrossacomponent,arejustreversed?,[Sep.Waterfromapipeiscomingatarateof100litersper,minute.The,4,electricfluxthroughthecurvedsurfaceofthehemisphere,is,[OnlineMay19,2012],,(,,),,Theelectricfieldinaregionofspaceisgivenby,,r,E=Eoˆi+2EoˆjwhereEo=100N/C.2019I],,Y,c,,(a)a=0,b=0,c=1,(b)a=1,b=0,c=0,(c)a=1,b=0,c=1,(d)a=0,b=1,c=0,84.Neglectinganyreflectionfrom,thebottomandabsorptionbywater,percentageoflight,thatemergesoutofsurfaceis(nearly):,[Usethefactthatsurfaceareaofasphericalcapofheight,handradiusofcurvatureris2prh],[9Jan.2020(II)],(a)2,,GM,a,,(b)4,,GM,a,,35GM,GM2,(d),2,a,ma,27.2019II],8.,,(a),,(b),,13.Thecurrentatatime,whenthepotentialdifferenceacrossthecapacitoris5V,is:,[OnlineApril15,2018],(a)0.17A(b)0.15A(c)0.34A(d)0.25A,37.(b)Multimetershowsdeflectioninbothcasesi.e.before,andafterreversingtheprobesifthechosencomponentis,capacitor.,Potentialdrop,111.Itisassumedthatwhentheholeisilluminatedby,aparallelbeamoflightofwavelengthlthespreadofthe,spot(obtainedontheoppositewallofthecamera)isthe,sumofitsgeometricalspreadandthespreaddueto,diffraction.Iftheworkdoneontherefrigeratoris10,J,theamountofheatabsorbedfromthereservoiratlower,temperatureis:,[8Jan.(d)Velocityofwaveonstring,,f=,,34.Anidealgasatatmosphericpressureisadiabatically,compressedsothatitsdensitybecomes32timesofits,initialvalue.Calculatethechargeinthe,temperatureofthegasifitsvolumechangesfromVoto2Vo.,[10Apr.(b)Frombalancedwheatstonebridge,S=,,PR,where,=,QS,,S1S2,S1+S2,,139.Anelectriccharge10–3mCisplacedattheorigin(0,0)of,X–Yco-ordinatesystem.Whatisthe,maximumdistancebetweenthemforsatisfactory,communicationinlineofsight(LOS)mode?,[OnlineApril9,2014],(a)55.4km(b)45.5km(c)54.5km(d)455km,29.Iftheresistance,ofLis1.7&!,thecurrentintheloopatthatinstantwillbe,closeto:,[12Apr.(c)Case-I:Forthemanstandinginthelift,the,accelerationoftheball,r,rr,abm=ab-amÞabm=g–a,Case-II:Themanstandingontheground,theacceleration,of

theball,r,rr,abm=ab-amÞabm=g–0=g,33.Thefocallengthofthecombinationis[2007],(a)+10cm,(b)–20cm,(c)–10cm,(d)+20cm,69.Whichofthefollowingparametersdoesnotcharacterize,thethermodynamicstateofmatter?,[2003],(a)Temperature,(b)Pressure,(c)Work,(d)Volume,,CarnotEngine,Refrigerators,TOPIC3andSecondLawof,Thermodynamics,52.Anobjectofmass‘m’isejected,fromthesatellitesuchthatitjustescapesfromthe,gravitationalpulloftheearth.CandidatesMUSTsubmittheirsignedScribblePads,,QUESTION:SupposetwocandidateshavesameJEE,(Advanced)-2018aggregatemarks.MeasuredvalueofLis20.0cmknownto1mm,g,accuracyandtimefor100oscillationsofthependulumis,foundtobe90susingawristwatchof1sresolution.Apassengertrainoflength60mtravelsataspeedof80,km/hr.Iftheaccelerationoftheparticle,,Thedisplacementy(t)=Asin(wt+f)ofapendulumfor,2p,iscorrectlyrepresentedby,f=,3,[OnlineMay19,2012],y,y,,(a),,(c),,ofçA÷is:,è2ø,,x,,y,,a2,,p,4,,13.Asubmarineexperiencesapressureof5.05×106Paatdepth,ofd1inasea.Iftheunregulatedinput,voltagevariesbetween10Vto16V,thenwhatisthe,maximumZenercurrent?,[12Apr.The,minimumcoefficientoffrictionmminbetweenthemassand,theinclinedsurfacesuchthatthemassdoesnotmoveis:,[OnlineApril9,2016],(a)tan2q,(b)tanq,(c)3tanq,(d)2tanq,48.2020II],(a)1,,(b)9,,(c)5,,(d)17,,(a),,4,3,,(b),,3,2,,(c),,3,,(d),,2Page403:P-394,,Physics,,43.A,BandCarethreedistinct,pointsofobservation,eachequidistantfromthemidpoint,ofPQ.Thechargeonthe,dropwillbe(Takethemassofthecharge=9.9×10–15kg,andg=10m/s2),[2004],(a)1.6×10–18C,(b)3.2×10–18C,(c)3.3×10–18C,(d)4.8×10–18C,,(c)-,,51.,,Q,(1+22),2Page250:P-241,,ElectricChargesandFields,,(a)surfacechangedensityontheinnersurfaceisuniform,,ElectricDipole,ElectricFlux,TOPIC3andGauss'sLaw,52.,,Twoidenticalelectricpointdipoleshavedipolemoments,®,,®,,P1=P$iandP2=-P$iandareheldonthexaxisatdistance,‘a’fromeachother.ofphotonsperm2-s,,hc,æhc,ö,K.Ifthislawistobetested,t,experimentallybyobservingthemotionstartingfromrest,,thebestwayistoplot:,[OnlineApril10,2016],1,(a)logv(t)against,(b)v(t)againstt2,t,1,(d)logv(t)againstt,(c)logv(t)against2,tPage46:P-37,,LawsofMotion,,8.,,Alargenumber(n)ofidenticalbeads,eachofmassm,andradiusrarestrungonathinsmoothrigidhorizontal,rodoflengthL(L>>r)andareatrestatrandom,positions.Theresistanceof[2003],(a)eachofthesedecreases,(b)copperstripincreasesandthatofgermanium,decreases,(c)copperstripdecreasesandthatofgermaniumincreases,(d)eachoftheseincreases,46.The,velocityofsoundinair,obtainedintheexperiment,is,closeto:,[12Jan.(None),D1=A1+B1+C1=24.36+0.0724+256.2=280.6,D2=A2+B2+C2=24.44+16.082+240.2=280.7,D3=A3+B3+C3=25.2+19.2812+236.183=280.7,,\,,Pitch=Page20:P-11,,PhysicalWorld,UnitsandMeasurements,,D4=A4+B4+C4=25+236.191+19.5=281,Noneoftheoptionmatches.,46.Threemassesm,2mand3maremovinginx-yplanewith,speed3u,2uandurespectivelyasshowninfigure.Findtheinternalresistanceofthecell.Capacitanceofthe,constantk2=6andthickness,3,capacitorisnow,[2008],(a)1.8pF,(b)45pF(c)40.5pF(d)20.25pF,101.(b)WheneitherofAorBis1i.e.closedthenlampwill,glow.,Inthiscase,Truthtable,Inputs,,Output,,A,,B,,Y,,0,,0,,0,,0,,1,,1,,1,,0,,1,,1,,1,,1,,0,1,1,,1,0,1,,0,0,1,,Y=(A+B)=A.B=A×B.,,Thus,itisanANDgateforwhichtruth,tableis,97.Thecapacitancewillbecloseto:[8Jan.Whatshould,bethedirectionoftheswimmerwithrespecttotheflow,oftherivertocrosstheriverstraight?Giventhat,theescapevelocityfromtheearthis11kms–1,theescape,velocityfromthesurfaceoftheplanetwouldbe[2008],(a)1.1kms–1,(b)11kms–1,(c)110kms–1,(d)0.11kms–1,67.IfthesmallertriangleDEFisremovedfromABC,the,momentofinertiaoftheremainingfigureaboutthesame,axisisI.Theirmomentofinertia,abouttheirdiametersarerespectivelyIAandIBSuchthat,[2004],(a)IA<IB,(b)IA>IB,(c)IA=IB,,126.Itishingedatoneend,androtatesaboutaverticalaxispracticallywithoutfriction.,Theangularspeedofthedoorjustafterthebulletembeds,intoitwillbe:,[OnlineApril9,2013],(a)6.25rad/sec,(b)0.625rad/sec,(c)3.35rad/sec,(d)0.335rad/sec,Astoneofmassm,tiedtotheendofastring,iswhirled,aroundinacircleonahorizontalfrictionlesstable.2020I],,37.Itscentreofmassrisesto,amaximumheightof,[2009],2,2,1lw,1lw,(a),(b),6g,2g,22,1lw,1l2w2,(c),(d),6g,3g,120.06,2020(I)],(a)2,(b)0.5,(c)20,(d)400,,InaseriesLRcircuit,powerof400Wisdissipatedfroma,sourceof250V,50Hz.Thepowerfactorofthecircuitis0.8.In,ordertobringthepowerfactortounity,acapacitorofvalueC,isaddedinseriestotheLandR.Thereforeemitterismost,heavilydoped.,71.2020,I],,ElectricChargesandFields,,Y,E,O,,(a)y=,(c)y=,18.,,qEd,mV02,qEd,,V0,,X,d,,(x-d),,(b)y=,,x,,(d)y=,,qEdæd,ö,-x÷,2ç,mV0è2,ø,,qEd2,,x,mV02,Asmallpointmasscarryingsomepositivechargeonit,is,releasedfromtheedgeofatable.05,2020(I)],,v,f,,39.2019II],(a)185,(b)140,(c)285,(d)65,,unequalparts.The,2,energylossintheprocessafterthechargeisdistributed,betweenthetwocapacitorsis:,[Sep.Whatistheworkdone,inpullingtheentirechainonthetable?,[2004],(a)12J,(b)3.6J,(c)7.2J,(d)1200JPage64:P-55,,Work,Energy&Power,,8.,,r,r,r,r,AforceF=(5i+3j+2k)Nisappliedoveraparticle,whichdisplacesitfromitsorigintothepoint,rr,r,r=(2i-j)m.Whichofthefollowingoptioncorrectlydescribesthe,variationofthespeedvandacceleration'a'ofapointmass,fallingverticallyinaviscousmediumthatappliesaforce,F=–kv,where'k'isaconstant,onthebody?(d)Forthemotionofball,justafterthethrowing,v=0,s=2m,a=–g=–10ms–2,v2–u2=2asforupwardjourney,,Þ-u2=2(-10)´2Þu2=40,Whentheballisinthehandsofthethrower,,u=0,v=40ms–1,s=0.2m,v2–u2=2as,,a,,a,,t,,t,,N,a,,mgsina,,Forblocktoremainstationary,Netforcealongtheincline,shouldbezero.,mgsina=macosaÞa=gtana,17.Theelectricfieldintheregionshownbetween,themisgivenby:,[7Jan.2020II]Page37:P-28,,Physics,,(a),,33u2,8g,,(b),,32u2,4g,,5u2,u2,(d)22,g,8g,Thetrajectoryofaprojectilenearthesurfaceoftheearth,isgivenasy=2x–9x2.Theworkof146kJisperformedinordertocompressone,kilomoleofgasadiabaticallyandinthisprocessthe,temperatureofthegasincreasesby7°C.After,reachingC,theparticlecontinuestomovefreelyinair,asaprojectile.Whatisthe,lengthAP?,[12Jan.Theaveragemassofraindropsis3.0×10–5kgandtheir,avarageterminalvelocityis9m/s.Ifsinq1=nsinq2,thenvalueofn,is___________.,[NA2Sep.Theworkdoneinstretchingis[2004],,(a),,(a)2Fl,,(b)Fl,,(c),,F,2l,,(d),,Fl,2Page145:P-136,,15.,,Physics,,19.Iftheparticlestartsfromrest,theworkdonebythe,forceduringthefirst1secondwillbe,[2017],(a)9J,(b)18J,(c)4.5J,(d)22J,27.(a)x=,,\dsinq=nl,nl,\sinq=,d,,(1.22)(5500´10-10)´4´105´103,5,,=,,1.22l,2µsinq,,1.22´5000,=0.24µm,2´1.25,,æI0ö,53.Theratioof,fundamentalfrequencyoftubeAandBis,[2002],(a)1:2,(b)1:4,(c)2:1,(d)4:1,49.Whichinstrumentdidheusetomeasureit?,[2014],(a)Ameterscale.,(b)Averniercalliperwherethe10divisionsinvernier,scalematcheswith9divisioninmainscaleandmain,scalehas10divisionsin1cm.,(c)Ascrewgaugehaving100divisionsinthecircular,scaleandpitchas1mm.,(d)Ascrewgaugehaving50divisionsinthecircularscale,andpitchas1mm.,66.AblockAofmass4kgisplacedonanotherblockBof,mass5kg,andtheblockBrestsonasmoothhorizontal,table.Thebeadsarefreetoslidealongtherod.Thesmallercoilissettorotatewithaconstant,angularvelocitywaboutanaxisalongtheircommon,diameter.[2002],æM+mö,æM+mö,(a)çè,(b)çè,÷w,÷w,Mø1,mø1,,Considerauniformcubicalboxofsideaonaroughfloor,thatistobemovedbyapplyingminimumpossibleforceF,atapointbaboveitscentreofmass(seefigure).(d)Asthesurroundingisidentical,vesselisidentical,timetakentocoolbothwaterandliquid(from30°Cto25°C),issame2minutes,therefore,ÞR=,,ædQö,ædQö,=ç÷,çè÷ø,dtwaterèdtøliquid,(mwCw+W)DT(mlCl+W)DT,=,t,t,(W=waterequivalentofthevessel),or,mwCw=mlCl,,=,,L,L,+k´0´,2,2,L,L,9k´+k´,2,2,,9k´100´,,=,,900,kL,=2,=90°C,10kL,2,42.Twocoaxialdiscs,havingmomentsofinertiaI1and,,1/2,,é(m1-m2)ù,ú,(c)ê,2,ëê(m1+m2)R+1ûú,,gh,,1/2,,é,ù,m1+m2,úgh,(d)ê,2,êë(m1+m2)R+1úû,85.Iftheprojectile,,æ1ö,9,(c)q0=cos–1çè÷øandv0=ms–1,5,3,,waslaunchedatanangleqfromthehorizontal,thenqis,(takeg=10ms–2),[OnlineApril9,2014],2,-1,-13,(a)tan,(b)tan,3,2,4,7,-1,-1,(c)tan,(d)tan,5,4,30.2019II],,[9Jan.Inacylindricalwatertank,therearetwosmallholesAand,Bonthewallatadepthofh1,fromthesurfaceofwaterandat,aheightofh2fromthebottomofwatertank.2019II],11,5,3,25,(a),(b),(c),(d),5,2,2,11,31.Then,visequalto:,[12April2019(II)],(a)332ms–1,(b)384ms–1,(c)338ms–1,(d)379ms–1,Astring2.0mlongandfixedatitsendsisdrivenbya240,Hzvibrator.2019I],(a)2.26×10–3m/sawayfromthelens,(b)0.92×10–3m/sawayfromthelens,(c)3.22×10–3m/stowardsthelens,(d)1.16×10–3m/stowardsthelens,49.(c)Wehavegiven,,119.Aperfectgasat27°Cisheatedatconstantpressuresoas,todoubleitsvolume.2019II],(a)0.1ms–1,(b)0.7ms–1,(c)0.3ms–1,(d)0.4ms–1Page24:P-15,,MotioninaStraightLine,,(a)a+,,b2,4c,,(b)a+,,b2,3c,,b2,b2,(d)a+,c,2c,11.Theratioofde-Brogliewavelength,,(a),,lA2,=,lB3,,(b),,lA1,=,lB2,,lA,lA1,=,(d)l=2,lB3,B,16.Thecoefficientoffriction,betweenAandBis0.2andbetweenBandthesurfaceof,thetableisalso0.2.ThemaximumforceFthatcanbe,appliedonBhorizontally,sothattheblockAdoesnot,slideovertheblockBis:[Takeg=10m/s2],[10April2019II],,(a)8N,(b)16N(c)40N,(d)12N,42.Theratiooftherespectivedistancesinwhichthe,twocarsarestoppedfromthatinstantis,[2002],(a)1:1,(b)1:4,(c)1:8,(d)1:16,,andthendeceleratesattherate,,t,19.,,t,,22.(b)Intheabsenceofairresistance,if,Thrust(F),therocketmovesupwithanacceleration,a,thenthrust,F=mg+ma,a,,\F=m(g+a)=3.5×104(10+10),=7×105N,,mg,,18.2019II],(a)1014and10eV,(b)1012and5eV,(c)1011and5eV,(d)1010and5eV,,40.2019I],(a)14mC,(b)7mC(c)21mC,(d)6mC,16.Its,dielectriccanwithstandamaximumelectricfieldof106V/,m.Itmeans,C=A+BwhichisforORgate.02,2020(I)],(a)150nT,(b)160nT,(c)180nT,(d)190nT,,(Page387:P-378,,7.,,Inaplaneelectromagneticwave,thedirectionsofelectric,fieldandmagneticfieldarerepresentedbyk̂and2iˆ-2ˆj,,respectively.04,2020(I)],,(c),,2,,(d)2(g+1)RMvK,ThreeperfectgasesatabsolutetemperaturesT1,T2andT3,aremixed.Willthetwocandidatesbegiven,thesamerank?,ANSWER:Iftheaggregatemarksscoredbytwoormorecandidates,arethesame,thenthefollowingtie-breakpolicywillbeusedfor,awardingranks:Step1:Candidateshavinghigherpositivemarks,willbeawardedhigherrank.(b)Letkbethespringconstantoftheoriginalspring.,TimeperiodT=2p,,m,wheremisthemassofoscillating,k,,body.,Whenthespringiscutintonequalparts,thespring,constantofonepartbecomesnk.04,2020(II)]Page371:P-362,,Lænö,÷,(a)Rlnç,èn-1ø,,(b),,Lænö,lnç,÷,Rèn+1ø,,(d),,Læn+1ö,lnç,÷,Rèn-1ø,,Læn-1ö,lnç,÷,Rènø,A750Hz,20V(rms)sourceisconnectedtoaresistanceof,100W,aninductanceof0.1803Handacapacitanceof10,mFallinseries.Theset-upisplacedinauniformmagneticfield,goingintotheplaneofthepaper.Determinethespeedwithwhichthe,earthwouldhavetorotateaboutitsaxissothattheperson,R,,20.,,r,,a,,a,,3,attheequatorwillweightW.Thenatt=0,K1isopenedandkeyK2isclosed,simultaneously.IfDp~,10Pa,v~300m/s,r~1kg/m3andf~1000Hz,thens,willbeoftheorderof(takethemultiplicativeconstant,tobe1),[Sep.Theintensity,ofthebeamisdecreasingwithincreasingradius,13.FromabuildingtwoballsAandBarethrownsuchthatAis,thrownupwardsandBdownwards(bothvertically).Abatmovingat10ms–1towardsawallsendsasound,signalof8000Hztowardsit.Initially,thesamples,haveequalnumberofnuclei.[2013],5GmM,(b),6R,,2GmM,(c),3R,,GmM,GmM,(d),2R,2R,66.Aplanarloopofwirerotatesinauniformmagneticfield.,Initially,att=0,theplaneoftheloopisperpendicularto,themagneticfield.(c),,or,t=,,g,´h,2,,g,2,,2gh,(1+2)Þt=,g,,or,t=3.4,,2h,(1+2),g,,h,g,,36.Theactivityofaradioactivesamplefallsfrom700s–1to500,s–1in30minutes.100gramsoficeat0°Cis,placedin200gofwaterat25°C.IfenergyDEisaddedtoitsenergy,the,,6.,,Assumingthenitrogenmoleculeismovingwith,r.m.s.velocityat400K,thede-Brogliewavelengthof,nitrongenmoleculeiscloseto:,,(a)-,,(Given:nitrogenmoleculeweight:4.64×10–26kg,Boltzman,constant:1.38×10–23J/K,Planckconstant:6.63×10–34J.s),[Sep.Thevalueofg,andR(radiusofearth)are10m/s2and6400kmrespectively.,Therequiredenergyforthisworkwillbe,[2012],11,8,(a)6.4×10Joules,(b)6.4×10Joules,(c)6.4×109Joules,(d)6.4×1010Joules,41.Thenewvalueoftheforcebetween,themis,[2004],,by,,93.,,24V,,2F,F,F,(b),(c)–2F,(d)3,3,3,Ifacurrentispassedthroughaspringthenthespring,will,[2002],(a)expand,(b)compress,(c)remainssame,(d)noneofthese,Wires1and2carryingcurrentsi1andi2respectivelyare,inclinedatanangleθtoeachother.Itbouncesbackandgoes,uptoanangleq1.TheratioBoftheir,RA,activitiesaftertimetitselfdecayswithtimetase–3t.06,2020(I)],(a),,f=,,1mL,2pYA,,(b)f=,,1YA,2pmL,,1mA,1YL,(d)f=,2pYL,2pmA,36.Ifthetwowiresstretchbythesame,lengthforagivenload,thenthevalueofRiscloseto:,[8April2019II],(a)1.5mm(b)1.9mm(c)1.7mm,(d)1.3mm,Asshowninthefigure,forcesof105Neachareappliedin,oppositedirections,ontheupperandlowerfacesofa,cubeofside10cm,shiftingtheupperfaceparalleltoitself,by0.5cm.Infrared,radiationwillbeobtainedinthetransitionfrom:[2009],(a)3®2,(b)4®2(c)5®4,(d)2®1Page462:P-453,,Atoms,,49.,,Supposeanelectronisattractedtowardstheoriginbya,k,where‘k’isaconstantand‘r’isthedistanceof,r,theelectronfromtheorigin.WireAisbentintoacircleofradiusR,andwireBisbenttoformasquareofside'a'.Thentheradiusofthecircleis:,[OnlineApril9,2014],(a),,15´3´5cm,,(b)15´37cm,,(c),,15´7,cm,3,,(d),,15´3,7,,cmPage401:P-392,,24.,,25.,,Physics,,Aprintedpageispressedbyaglassofwater.2019I],32,Iw2,I1w12,Iw2,(b)11(c)I1w1,(d)-11,8,6,12,24,90.02,2020(II)],(a)0.06,(b)2.3,(c)0.008,(d)0.8,Anon-isotropicsolidmetalcubehascoefficientsoflinear,expansionas:5´l0–5/°Calongthex-axisand5´10–6/°C,alongtheyandthez-axis.02,2020(II)],,5.,,(a)(1.25m,1.50m),(b)(0.75m,1.75m),(c)(0.75m,0.75m),(d)(1m,1.75m),Asshowninfig.Themaximum,kineticenergyofphotoelectronsliberatedfromanother,metalBbyphotonofenergy4.50eVisTB=(TA–1.5)eV.(c),,h,,=,,4,4,n-n0,n-n0,3,\,\v¢=v3,=,n-n0,n-n0,v2,,=,,v¢2,,6.62´10-34)(3´108),(,=,,4,3,46.2020I],r,17.Thegapbetweentheplatesofaparallelplatecapacitorof,areaAanddistancebetweenplatesd,isfilledwitha,,3mF,x,l,,S,,d,,3mFb2mF,,2,,(a),,10V,(a)5µCfrombtoa,(b)20µCfromatob,(c)zero,(d)5µCfromatob,86.Aparticleofmassmmovinginthexdirectionwithspeed,2vishitbyanotherparticleofmass2mmovinginthey,directionwithspeedv.Iftheperiodofoscillationwiththetwospringsin,seriesisTthen,[2004],-1,,-1,,-1,,=t1+t2,,(a),,T,,(c),,T=t1+t2,,(b)T2=t12+t22,(d)T-2=t1-2+t2-2,,AmassMissuspendedfromaspringofnegligiblemass.,Thespringispulledalittleandthenreleasedsothatthe,massexecutesSHMoftimeperiodT.2019II],(a)decreasesbyafactorof9,(b)increasesbyafactorof27,(c)increasesbyafactorof3,(d)decreasesbyafactorof93,33.(c)Inthegivenquestion,A,BandCreferbase,collector,andemitterrespectively.,65.AmodulatedsignalCm(t)hastheformCm(t)=30sin300pt,+10(cos200pt–cos400pt).Athermallyinsulatedvesselcontainsanidealgasof,molecularmassMandratioofspecificheatsg.Ofthe,fourchoicesgivenaftertheStatements,choosetheone,thatbestdescribesthetwoStatements.,Statement1:Verylargesizetelescopesarereflecting,telescopesinsteadofrefractingtelescopes.,Statement2:Itiseasiertoprovidemechanicalsupportto,largesizemirrorsthanlargesizelenses.,[OnlineApril23,2013],(a)Statement-1istrueandStatement-2isfalse.,(b)Statement-1isfalseandStatement-2istrue.,,93.,,94.,,95.,,96.,,97.,,98.,,(c)Statement-1andstatement-2aretrueandStatement2iscorrectexplanationforstatement-1.,(d)Statements-1andstatement-2aretrueandStatement2isnotthecorrectexplanationforstatement-1.,Thefocallengthoftheobjectiveandtheeyepieceofa,telescopeare50cmand5cmrespectively.Itisbentintoacircle,ofoneturnandthemagneticfieldatthecentreofthecoil,isB.Whenpower,iscutoffitcomestorestin1minute.Thevalueofa,intermsof,gravitationalaccelerationg,isclosestto:[9Jan.Theparticle,slidesalongthefrictionlesssurface.(d)Usingequation,=,,[Qq=60°andd=1Å=1´10-10m],2,,1,6.64´10,\E=´,;50eV,29.1´10-31´3´1.6´10-19,,23.,,2,FromtheEinstein'sphotoelectricequation,Energyofphoton,=Kineticenergyofphotoelectrons+Workfunction,ÞKineticenergy=EnergyofPhoton–WorkFunction,Letf0betheworkfunctionofmetalandv1andv2bethe,velocityofphotoelectrons.Assumethattheliquidappliesaviscousforce,ontheballthatisproportionaltothesquareofitsspeed,v,i.e.,Fviscous=–kv2(k>0).(a)Rotationperiodofearthisabout24hrs;105s,Revolutionperiodofearthisabout365days;107s,SpeedoflightwaveC=3×108m/s,Wavelengthofvisiblelightofspectrum,l=4000–7800Å,,70.,,=(6mA)´,,1,C=flæçandT=ö÷,è,fø,Thereforeperiodoflightwaveis10–15s(approx),67.Inahydrogenlikeatom,whenanelectronjumpsfromthe,M-shelltotheL-shell,thewavelengthofemittedradiation,isl.ACarnotengineabsorbs1000Jofheatenergyfroma,reservoirat127°Candrejects600Jofheatenergyduring,eachcycle.The,momentofinertiaofthetriangleaboutanaxispassing,throughGandperpendiculartotheplaneofthetriangleis,I0.Thespeedofeach,tuningforkiscloseto:,[7Jan.(c)Given:Inductance,L=49µH=49×10–6H,,capacitanceC=2.5nF=2.5×10–9F,Usingw=,,1,LC,1,,=,,49´10-6´,,2.5,´10-9,10,,=,,1,7´5´10-8,,or,,,108,22,=2p´f=2´,´f,7´5,7,,or,,,f=,,108,=,7´5,,(Qw=2pf),,107104,=,kHz=454.54kHz,22,22,,Vm,5,=,=0.2,V025,,Given,frequencyofcarrierwave(fc)=1.2×106Hz,=1200kHz.,Frequencyofsignal(f0)=20kHz.,Sidefrequencybands=fc±f0,f1=1200–20=1180kHz,f2=1200+20=1220kHz,22.Fromthesamepointandatthesame,'v0',2,tocatchtheball.2020I],115.MomentofinertiaofacircularwireofmassMandradius,Raboutitsdiameteris,[2002],(a)MR2/2(b)MR2,(c)2MR2(d)MR2/4,128.04,2020(II)],(a)91kmh–1,(b)81kmh–1,(c)61kmh–1,(d)71kmh–1,67.Thevelocityattainedbytheballis,[2005],(a)20m/s,(b)40m/s,46.,,47.,,48.,,49.,,(c)1030m/s,(d)10m/s,Aparticlemovesinastraightlinewithretardation,proportionaltoitsdisplacement.2019II],(a)(9+sin(2.5p×105t))sin(2p×104t)V,(b)(1+9sin(2p×104t))sin(2.5p×105t)VPage504:P-495,,CommunicationSystems,,(c)(9+sin(2p×104t))sin(2.5p×105t)V,(d)(9+sin(4p×104t))sin(5p×105t)V,12.Themassofevaporatedwaterwillbeclosedto:,(Latentheatofvaporizationofwater=2.10×106Jkg–1and,LatentheatofFusionofwater=3.36×105Jkg–1),[8April2019I],(a)150g,(b)20g,(c)130g,(d),35g,24.Ifinthecircuit,powerdissipationis150W,thenRis,[2002],R,,2W,(a)2W,,(b)6W,,15V,(c)5W,,(d)4W,,WheatstoneBridgeand,TOPIC5DifferentMeasuring,Instruments,109.ofelectronsperm2-s=,,é3,hc,1ù,-hcê,ú=eV',l1,ë2l12l2û,,48.Capacitance(inF)ofasphericalconductorwithradius1m,is,[2002],(a)1.1´10-10,,(b)10-6,,(c)9´10-9,,(d)10-3Page278:P-269,,ElectrostaticPotentialandCapacitance,,21.Therayisboth,reflectedandrefractedatthefarthersurfaceofthesphere.,Theangle(indegrees)betweenthereflectedandrefracted,raysatthissurfaceis___________.,[NASep.bt],=e,-(ax+bt)2,=e,æ,ö,b÷,-çx+,t,è,aø,e,,2,,=,Itisafunctionoftypey=f(x+vt),\y(x,t)representswavetravellingalong–vexdirection,w,b,=,ÞSpeedofwave=,a,kPage237:P-228,,Physics,,Fundamentalfrequencyinthestring,,f=,,=,,1T,1T,=,2lm2lsA,1,9´109´4.9´10-4,2´1,9´103,,DL=,,1,1,49´109-4-3=´70=35Hz,2,2,21.Assumethatthereisnolossof,lightbyreflectionandthateachcapablephotonejects,oneelectron.The,potentialatvariouspointsonasmallspherecentredatP,,intheregion,isfoundtovarybetweeninthelimits589.0V,to589.8V.04,2020(I)],–2,–2,(a)MLTK,(b)MLTK–2,–3,(c)MLTK,(d)MLT–3K–1,Aquantityxisgivenby(IFv2/WL4)intermsofmomentof,inertiaI,forceF,velocityv,workWandLengthL.Togetthesharp,imageagain,thescreemisshiftedbyadistanced.A5Vbatterywithinternalresistance2Wanda2Vbattery,withinternalresistance1Wareconnectedtoa10Wresistor,asshowninthefigure.,[2008],,68.,,5W,,69.,20W10W,,2V,1W,,16.0V,,I2,I1,HowmuchisthecurrentIinthecircuitinsteadystate?,(a)1.6A,(b)0.67A,(c)2.5A,(d)0.25A,64.2020(II)],(a)2.1m,(b)1.1m,(c)8.1m,(d)5.1m,Atuningforkoffrequency480Hzisusedinanexperiment,formeasuringspeedofsound(v)inairbyresonance,tubemethod.Theresistancethatshouldbeconnectedinseries,suchthatitcanbeusedasavoltmeterupto15volt,is:,[11Jan2019,II],(a)100W(b)120W(c)80W,(d)125W,108.(a)q=,Smallestangularseparationbetweentwodistantobjects,heremoonandearth,,l,q=1.22,a,a=aperturediameteroftelescope,,DistanceO1O2=(q)d,Minimumseparationbetweenobjectsonthesurfaceofmoon,,,lö,æ,=ç1.22÷d,è,aø,,1.22l1.22´500´10-9,=,=305×10–9rad.,d,2,,56.Todemonstratethephenomenonofinterference,we,requiretwosourceswhichemitradiation,[2003],(a)ofnearlythesamefrequency,(b)ofthesamefrequency,(c)ofdifferentwavelengths,(d)ofthesamefrequencyandhavingadefinitephase,relationship,,TOPIC2,,Young'sDoubleSlit,Experiment,,17.The,refractiveindicesofthematerialfortheabovered,green,andbluecoloursare1.39,1.44and1.47respectively.2020II],,aBö,4æA,(a)2paçè+÷ø,45,,Bö,4æAaBö,4æA,(c)paçè+÷ø,(d)2paçè+÷ø,45,45,88.Whendrivingthecarwithspeedv,hesees,thatraindropsarecomingatanangle60ºfromthehorizontal.2019I],F,F,(a),(b),AaDT,Aa(DT-273),F,2F,(c),(d),2AaDT,AaDT,AnexternalpressurePisappliedonacubeat0oCsothat,itisequallycompressedfromallsides.Whatisthe,fundamentalfrequencyofsteelifdensityandelasticityof,steelare7.7×103kg/m3and2.2×1011N/m2respectively?,(a)188.5Hz,(b)178.2Hz,[2013],(c)200.5Hz,(d)770Hz,Asonometerwireoflength114cmisfixedatboththeends.,Whereshouldthetwobridgesbeplacedsoastodividethe,wireintothreesegmentswhosefundamentalfrequencies,areintheratio1:3:4?,[OnlineApril23,2013],(a)At36cmand84cmfromoneend,(b)At24cmand72cmfromoneend,(c)At48cmand96cmfromoneend,(d)At72cmand96cmfromoneend,Acylindricaltube,openatbothends,hasafundamental,frequencyfinair.Thevalueoftheresistancetobeputinseries,withthegalvanometertoconvertitintotovoltmeterof,range0-10Vis,[2017],(a),,2.535´10W,3,,(b),,114.Thevalueof‘a’is:,[OnlineApril11,2015],,6cm,O,Silvered,,56.,,(a)14cmbelowflatsurface,(b)20cmbelowflatsurface,(c)16cmbelowflatsurface,(d)30cmbelowflatsurface,Aconvexlens,offocallength30cm,aconcavelensof,focallength120cm,andaplanemirrorarearrangedas,shown.Theradiusofvesselis5cmandtheangularspeed,ofrotationiswrads–1.Onemoleofanidealmonoatomicgasiscompressed,isothermallyinarigidvesseltodoubleitspressureatroom,temperature,27°C.The,8,I,thicknessofleadwhichwillreducetheintensitytowill,2,be,[2005],(a)9mm,(b)6mm,(c)12mm,(d)18mm,58.Ascrewgaugegivesthefollowingreadingwhenusedto,measurethediameterofawire.,Mainscalereading:0mm,Circularscalereading:52divisions,Giventhat1mmonmainscalecorrespondsto100divisions,ofthecircularscale.OneconductingUtubecanslideinsideanotherasshown,infigure,maintainingelectricalcontactsbetweenthetubes.,ThemagneticfieldBisperpendiculartotheplaneofthe,figure.Thepercentage,changeinitsmassdensitywillbeclosestto:,[Sep.Thespacebetweentheplatesisnowfilledwithtwo,dielectrics.(c)Given,P=a1/2b2c2d–4,,Maximumrelativeerror,,DP1Da,Db,Dc,Dd,=,+2,+3+4,P,2a,b,c,d,1,=´2+2´1+3´3+4´5=32%,2,0.5,60.Theworkfunctionofthe,metalis5eV.Waxiscoatedontheinnerwallofacapillarytubeandthe,tubeisthendippedinwater.AmagneticinductionBconstantintimeand,space,pointingperpendicularandintotheplaneatthe,loopexistseverywherewithhalftheloopoutsidethefield,,asshowninfigure.02,2020(I)],(a)35MW,(b)60MW,(c)125MW,(d)54MW,10.Dukanogsågåtilg.co/privacytoolsnårsomhelst.2020I],11.AthincircularplateofmassMandradiusRhasitsdensity,varyingasr(r)=r0rwithr0asconstantandristhe,distancefromitscenter.2020I],2,(a)E,(b)4E,(c)3E,(d)2E,Anelectronofmassmandmagnitudeofcharge|e|initially,atrestgetsacceleratedbyaconstantelectricfieldE.(MolarmassofN2gas28g);,[NASep.The,threemassescollideatthesamepointatPandstick,together.Asatelliteisrevolvinginacircularorbitataheighthfrom,theearthsurface,suchthath>a).Whenkeptinauniformmagneticfield,,thefieldlinesaroundthemlookasfollows:,,m0,=10–7inSIunitsandBH,4p,,A,,C,,B,,Makethecorrespondenceofthesebarswiththeir,materialbeingdiamagnetic(D),ferromagnetic(F)and,paramagnetic(P):,[OnlineApril11,2014],(a)A«D,B«P,C«F,(b)A«F,B«D,C«P,(c)A«P,B«F,C«D,(d)A«F,B«P,C«D,30.Theplotgivenbelowisoftheaveragepowerdeliveredto,anLRCcircuitversusfrequency.(c)Whenapointmassisfallingverticallyinaviscous,medium,themediumorviscousfluidexertsdragforceon,thebodytoopposeitsmotionandatonestagebody,fallingwithconstantterminalvelocity.,43.06,2020(II)],,(a),,5,7,ML2,(b),ML2,12,18,2,3,(c)ML2,(d)ML2,5,7,74.Ifthereisnootherforceonthe,particle,thedependenceofitsspeedvonthedistancex,travelledbyitiscorrectlygivenby(graphsareschematic,andnotdrawntoscale),[8Jan.The,instantaneousforceexperiencedbytheparticleis:,[9Jan2020,I],ˆ,(a)E0q(0.8iˆ-ˆj+0.4k)(b)E0q(0.4iˆ-3ˆj+0.8kˆ),9.,,(c)E0q(-0.8iˆ+ˆj+kˆ)(d)E0q(0.8iˆ+ˆj+0.2kˆ),Aplaneelectromagneticwaveispropagatingalongthe,iˆ+ˆj,,withitspolarizationalongthedirection,direction,2,kˆ.(c)GrowthincurrentinbranchcontainingLandR2when,switchisclosedisgivenby,E,[1-e-R2t/L],i=,R2,Þ,,diER2-R2t/L,E=,××e,=e,dtR2L,L,,R2t,LPage384:P-375,,AlternatingCurrent,,Hence,potentialdropacrossL,LdiæE-R2t/Lö,=çe,VL=,÷L,dtèL,ø,=Ee,,51.,,-R2t/L,,=12e,,-,,2t,,400´10-3,,(c)Acrossresistor,I=,Atresonance,,,=12e–5tV,,V,100,=,=0.1A,R1000,,1,1,=,=2500,wC200´2´10-6,VoltageacrossLis,IXL=0.1´2500=250V,(a)Initially,whensteadystateisachieved,,XL=XC=,,52.,,E,i=,R,LetEisshortcircuitedatt=0.2019I],(a)490W,(b)480W,(c)395W,(d)495W,120.Ifpointofprojectionis4mfromthefootof,wallandballstrikesthegroundatadistanceof6monthe,othersideofthewall,theheightofthewallis:,[OnlineApril22,2013],(a)4.4m(b)2.4m,(c)3.6m,(d)1.6m,33.Howis,TrelatedtoT1andT2,ifboththeenginesperformequal,amountofwork?,[7Jan.Thepistonandthespring,aremasslessandthereisnofrictionbetweenthepistonand,thecylinder.Twosatellites,AandB,havemassesmand2mrespectively.,AisinacircularorbitofradiusR,andBisinacircularorbit,ofradius2Raroundtheearth.Theratiok1/k2ofthecorrespondingforce,constants,k1andk2willbe:,[12April2019II],1,1,(c),(d)n2,(a)n,(b)2,n,n,15.InaseriesLCRcircuitR=200Wandthevoltageandthe,frequencyofthemainsupplyis220Vand50Hz,respectively.Whenthesurfaceis,illuminatedbymonochromaticlightoffrequencyv/2,the,stoppoingpotentialis–V0.Therod,isgentlypushedthroughasmallangleandreleased.Whenreleased,it,reachesCunderthegravitationalattractionofthering.Acar,startingfromrest,acceleratesattheratefthrougha,distanceS,thencontinuesatconstantspeedfortimet,,a,,(c),,O,,O,,27.,,28.,,TOPIC3RelativeVelocity,t,,29.Themassdensityofasphericalbodyisgivenbyr(r)=,k,forr<Randr(r)=0forr>R,,r,whereristhedistancefromthecentre.,Thecorrectgraphthatdescribesqualitativelytheacceleration,a,ofatestparticleasafunctionofris:,[OnlineApril9,2017],a,,a,(a),,(b),,r,,R,,R,,(c),,(d),r,,r,R,IftheEarthhasnorotationalmotion,theweightofaperson,ontheequatorisW.(c)Theresistanceoftheelectricbulbis,,440,Reff,,I=,,V2(220)2,=,P,100,Thepowerconsumedwhenoperatedat110Vis,R=,,440,2,,(220),(220)2,+,25,100,440,=,;,1ù,é1,(220)2ê+,ë25100úû,,I=,,40,Amp,220,,æ25ö,æ40ö<Iæ=100Aö,A÷<Iç=,A÷,QI1ç=,2ç,÷,è200ø,è220ø,è220ø,Thusthebulbrated25W–220willfuse.,,97.,,(b)Totalresistance=,,6´3,=2W,6+3,,6,=3A,2,Thereforecurrentthroughbulb1is2Aandbulb2is1A.,Sobulb1willglowmore,(c)Resistors4W,6Wand12Wareconnectedinparallel,,itsequivalentresistance(R)isgivenby,,Currentincircuit=,,98.,,1111,12,=++,ÞR=,=2W,R4612,6,AgainRisconnectedto1.5Vbatterywhoseinternal,resistancer=1W.,Equivalentresistancenow,,R¢=2W+1W=3W,V1.51,=,=A,Current,Itotal=,R',3,2,1,Itotal==3x+2x+x=6x,2,,1,12,\Currentthrough4Wresistor=3x,,Þx=,,1,1,=A,124,Therefore,rateofJouleheatinginthe4Wresistor,,=3×,,2,,1,æ1ö,=I2R=ç÷´4==0.25W,4,è4ø,99.Itsspeedatthebottomisobserved,tobe5v0/4.Itfollows,thatthemassdensityofanucleusisoftheorderof:,(Mprot.Incircularmotionthedirectionof,velocitychangesateverypoint(themagnituderemains,constant).,Therefore,thetangentialmomentumwillchangeatevery,point.Themagneticfieldatthe,centreofthetrianglewillbe:,[OnlineApril15,2018],(a)4×10–5Wb/m2,,51.,,4Nm0I,,(b)Zero,,(c)2×10–5Wb/m2,(d)8×10–5Wb/m2,TwoidenticalwiresAandB,eachoflength'l',carrythe,samecurrentI.(a)FromEinstein'sphotoelectricequation,hc,K.Whatistheapproximatepercentage,incrementinthetemperatureofthewater?04,2020(II)]Page295:P-286,,Physics,,52.Thevaluesof,constantsareA=20SIunitandB=10SIunit.Adiodedetectorisusedtodetectanamplitudemodulated,waveof60%modulationbyusingacondenserofcapacity,250picofaradinparallelwithaloadresistance100kilo,ohm.Thecurrent,I,inthecircuitwillbe,[2003],,3W,,3W,,B,2W,,2W,,5W,4W,,4Wi1,A,,C,,2W,,(a)2A,51.,,i,,2W,,(b)4A,B,,D,,(c)1A,,(d)5A,,60W,,40W,A,,C,,90W,,110W,D,,3W,,(b)1.5A,,10V,,2W,4W,Inthefigureshown,thecurrentinthe10Vbatteryis,closeto:,[Sep.AandBhaveequal,masses,mwhileChasmassM.(a)Heatsuppliedintimetforheating1Lwaterfrom,10°Cto40°C,DQ=mCp×DT,=1×4180×(40–10)=4180×30,ButDQ=P×t=836×t,Rcold=,,4180´30,=150s,836,106.ThevalueofC2intermsofC1isthen,[OnlineMay12,2012],n2,2C1,(a)16nC1,(b)nn,1,12,n2,16C1,(c)2nC1,(d)nn,1,12,98.Thecountingrateobservedascountss–1att=6s,willbe,[OnlineMay26,2012],(a)250,(b)400,(c)300,(d)200,48.Itsvalueandtolerance,aregivenrespectivelyby:,[9Jan.Page503:29,,P-494,,Physics,,Communication,Systems,6.,,TOPIC1CommunicationSystems,1.,,Anamplitudemodulatedwaveisrepresentedbythe,expressionvm=5(1+0.6cos6280t)sin(211´104t)volts,Theminimumandmaximumamplitudesoftheamplitude,modulatedwaveare,respectively:[Sep.Page303:P-294,,Physics,,R,,55W,,G,20cm,,ThevalueoftheunknownresistorRis,[2008],(a)13.75W(b)220W(c)110W,(d)55W,138.Thecriticalangleofamediumforaspecificwavelength,if,themediumhasrelativepermittivity3andrelative,,(a),,23,+2b,a,,(b)2a+,,2b,3,,4,forthiswavelength,willbe:[8Jan.Photo-electric,experiment,C.(a)FromthefreebodydiagramPage55:P-46,,Physics,,Tcos45°=100N,Tsin45°=F,Ondividing(i)by(ii)weget,,...(i),...(ii),,480,=12ms-2,20+12+8,Tensionatthemidpoint,=,,Tcos45°100,=,Tsin45°,F,ÞF=100N,,Massofrodö,æ,T=çM2+,÷a,2,è,ø,=(12+4)×12=192N,25.Anengineoperatesbytakingnmolesofanidealgas,throughthecycleABCDAshowninfigure.So,thephasedifference,betweeninputvoltagesignalandoutputvoltagesignalis,zero.,68.Foraconcavelensoffocallengthf,therelationbetween,objectandimagedistancesuandv,respectively,fromitspole,canbestberepresentedby(u=visthereferenceline):,,(a)2R,,(b),,R,m1-m2,,(b),,2R,m1-m2,,(c),,2R,2(m1-m2),,(d),,R,2-(m1-m2),,=,u,,(a),,40.Iftheradiusofthepipeis5cm,theReynolds,numberfortheflowisoftheorderof:(densityofwater=,1000kg/m3,coefficientofviscosityofwater=1mPas),[8April2019I],(a)103,(b)104,(c)102,(d),106,,24.Inameterbridgeexperimentresistancesareconnectedas,showninthefigure.ForLED’stoemitlightinvisibleregionofelectromagnetic,light,itshouldhaveenergybandgapintherangeof:,[OnlineApril12,2014],(a)0.1eVto0.4eV,(b)0.5eVto0.8eV,(c)0.9eVto1.6eV,(d)1.7eVto3.0eV,31.Thevelocity-timegraphsofacarandascooterareshown,inthefigure.Ifasimpleharmonicmotionisrepresentedby,2,,dx,dt2,(a),,(c)1.0m,,m,,k1,,Ifasimplependulumhassignificantamplitude(uptoa,factorof1/eoforiginal)onlyintheperiodbetweent=,0stot=ts,thentmaybecalledtheaveragelifeofthe,pendulum.Arectangularloopofsides10cmand5cmcarryinga,current1of12Aisplacedindifferentorientationsasshown,inthefiguresbelow:,z,,(A),,æaö,(b)Fµçè÷ø,d,,a,,X,X,82.Which,ofthefollowingstatementsisnottrue?,[2003],(a)Opticalfibrescanbeofgradedrefractiveindex,(b)Opticalfibresaresubjecttoelectromagnetic,interferencefromoutside,(c)Opticalfibreshaveextremelylowtransmissionloss,(d)Opticalfibresmayhavehomogeneouscorewitha,suitablecladding.,32.But,themagneticmomentofhoopistwiceofsolidcylinder.,Theyareplacedinauniformmagneticfieldinsucha,mannerthattheirmagneticmomentsmakeasmallangle,withthefield.Thedistance,traversedbylightinavacuuminthistime,,D=ct=c´,,Inet=I1+I2+2I1I2cos(Df),,=I+I+2IIcos(p)=0,,=d,,ForB,,Pathdifference,xP-xQ=0,p,2,(duetoPbeingaheadofQby90°),,Phasedifference,Df=,,p,IB=I+I+2IIcos=2I,2,ThereforeintensitiesofradiationatA,BandCwillbein,theratio,,IA:IB:IC=4I:2I:0=2:1:0.,,L,,S1,,IA=I1+I2+2I1I2cosDf,,=,,2N/c,d,,\TotalphasedifferenceatA,,PhasedifferenceDfduetopathdifference,,L',,/c,2N,,=,,l,2,,d,v,,c,=md,v,,[fromequation(i)],...(ii),,c,(Qm=),v,,Thisdistanceistheequvalentdistanceinvacuumandis,calledopticalpath.,OpticalpathforfirstraywhichtravelsapathL1througha,mediumofrefractiveindexn1=n1L1,OpticalpathforsecondraywhichtravelsapathL2through,amediumofrefractiveindexn2=n2L2,Pathdifference=n1L1-n2L2,Now,phasedifference,=,,2p,2p,´pathdifference=,´(n1L1-n2L2),l,lPage437:P-428,,39.,,Physics,,(c)Weknowthat,,æw1,ö,çw+1÷,è,ø,2,,43.,,2,,Imax,=,2,Iminæw,ö,1-1,çw,÷,è,ø,2,,ImaxandIminaremaximumandminiumintensity,w1andw2arewidthsoftwoslits,,(a)Forcoherentsources,intensityatmidpoint,I1µ(a+a)2,ÞI1µ(2a)2,Forincoherentsources,intensityofmidpointis,I2µ2a2,I,2,\1=,I21,44.Thereflectedwaveshould,travelinoppositedirectionwithaphasechangeofp.Ablockrestsonaroughinclinedplanemakinganangleof,30°withthehorizontal.Theelectricfieldofaplanepolarizedelectromagnetic,waveinfreespaceattimet=0isgivenbyanexpression,ur,E(x,y)=10ˆjcos[(6x+8z)],ur,ThemagneticfieldB(x,z,t)isgivenby:(cisthe,velocityoflight),[10Jan2019,II],1ˆ,ˆcos[(6x-8z+10ct)],(a),(6k+8i),c,1ˆ,ˆcos[(6x+8z-10ct)],(b),(6k-8i),c,1ˆ,ˆcos[(6x+8z-10ct)],(c),(6k+8i),c,1ˆ,ˆcos[(6x+8z+10ct)],(d),(6k-8i),c,27.WhenAmovesaway,fromCwithspeed4m/s,thenumberofbeatsheardatC,is18.Thenet,electrostaticenergyoftheconfigurationiszero,ifthevalue,ofQis:,[11Jan.TheintensityofgammaradiationfromagivensourceisI.,I,Onpassingthrough36mmoflead,itisreducedto.Theresistancethatshouldbe,connectedinparallelwith(R1+10)Wsuchthatthenull,pointshiftsbacktoitsinitialpositionis:,[11Jan.Thefocal,lengthsofthecomponentlenses[OnlineApril15,2018],(a)18cm,20cm,(b)10cm,12cm,(c)12cm,14cm,(d)16cm,18cm,Inanexperimentaconvexlensoffocallength15cmis,placedcoaxiallyonanopticalbenchinfrontofaconvex,mirroratadistanceof5cmfromit.Thecurrentreaches,halfofitssteadystatevaluein,[2005],(a)0.1s,(b)0.05s(c)0.3s,(d)0.15s,57.Thenwhichofthefollowingstatements,(A,B,C,D)arethecorrect?AccordingtoNewton’slawofcooling,therateofcooling,ofabodyisproportionalto(Dq)n,whereDqisthe,differenceofthetemperatureofthebodyandthe,surroundings,andnisequalto,[2003],(a)two,(b)three,(c)four,(d)onePage173:P-164,,Physics,,andP×55×60=mL,...(ii),Dividingequation(i)by(ii)weget,10C´100,=,55,L,\L=550cal./g.,34.Twolensesofpower–15Dand+5Dareincontactwith,eachother.Thisestablishedwavenatureofelectron,aswavescanexhibitinterferenceanddiffraction.,,Asthevalueof,,53.,54.Agraphbetweentheobjectdistanceu,andtheimagedistancev,fromthelens,isplottedusing,thesamescaleforthetwoaxes.(b),for,\,for,,1,1,=,(200–81´2),2,g,,using(i),,g=2(102–92),,Þg=22,\g=8m/s2,38.Apointchargeqis,movingtowardstheringalongthez-axisandhasspeedv,atz=4a.Aparallelbeamofelectronstravellingin,x-directionfallsonaslitofwidthd(seefigure).2019I],R',,R',,G,P,l,,1l,(a)0.2m,(b)0.3m,(c)0.25m,(d)0.35m,119.Theratio,ofthemaximumspeedsoftheemittedelectronswillbe,(a)1:5,,(b)1:4,,(c)1:2,,(d)1:1Page512:MockTest-1,14.,,MT-3,,Ablockofmass15kgisplacedoverafrictionlesshorizontal,surface.Themagneticfieldatitscentreis6.28×10–2Weber/m2.,Anotherlongsolenoidhas100turnspercmanditcarries,,d,,X,,(a),,1,,m0,(I12+I22),2pd,,(c),,B,,(b),,(a)2.5×10–7Tsouthward,(b)5×10–6Tnorthward,(c)5×10–6Tsouthward,(d)2.5×10–7Tnorthward,62.Whatistheposition,T,oftheballat,second,[2004],3,8h,(a),metersfromtheground,9,7h,metersfromtheground,(b),9,(c),,h,metersfromtheground,9,,17h,metersfromtheground,18,44.Thetotal,distancethroughwhichtheboxhasbeenmovedis30m.,Whatistheworkdonebythepersonduringthetotal,movementofthebox?,[4Sep.Thetwoexcited,stateshaveenergies,E2=–6eVandE3=–2eV.Aspectrometergivesthefollowingreadingwhenusedto,measuretheangleofaprism.,Mainscalereading:58.5degree,Vernierscalereading:09divisions,Giventhat1divisiononmainscalecorrespondsto0.5,degree.Itsvernierscaleisdividedinto10divisionsand,coincidewith9divisionsofthemainscale.A,circularwiremadeof'B'hastwicethediameterofawire,madeof'A'.(b)Force=mass×acceleration,\F=(m+m+m)×a,F=3m×a,F,a=,3m,10.2,m/s2,\a=,6,10.2,\T2=ma=2´,=3.4N,6,,Herea=,,2kg,C,,T2,T2,,2kg,,2kg,,B,,A,,T1,,T1,,37.(d)P,,21.Thiswouldproducehighbeat,frequency.,,64.Attheboilingpointofliquid,surfacetension,iszero.,Capillaryriseh=,,2Tcosq,rdg,,AssurfacetensionTdecreaseswithriseintemperature,hencecapillaryrisealsodecreases.,67.Howeverwire1hascross-sectionalareaA,andwire2hascross-sectionalarea3A.here,getsbalanced,whenthecarbonresistorusedasR1hasthecolourcode,(Orange,Red,Brown).Assumingnolossof,heat,theeffectivethermalconductivityofthesystemfor,heatflowingalongthelengthofthecylinderis:,[12Jan.IftheYoung’s,moduliiofcopperandsteelarerespectively1.0×1011Nm–,2and2.0×1011Nm–2,thetotalextensionofthecomposite,wireis:,[OnlineApril23,2013],(a)1.75mm(b)2.0mm(c)1.50mm(d)1.25mm,15.The,distanceofthethirddarkbandfromthecentralbright,bandis:,[OnlineApril9,2017],(a)3mm,(b)9mm(c)4.5mm(d)1.5mm,Asingleslitofwidthbisilluminatedbyacoherent,monochromaticlightofwavelengthl.AmaninacaratlocationQonastraighthighwayismoving,withspeedv.Inthecircuitshown,current(inA)through50Vand30V,batteriesare,respectively.,[OnlineApril11,2014],,50V,,10W,,30V,,5W,,(a)2.5and3,(b)3.5and2,(c)4.5and1,(d)3and2.5,65.(c)ResistanceofGalvanometer,,Currentsensitivity,10,=5W,ÞG=,G=,Voltagesensitivity,2,Hereig=Fullscaledeflectioncurrent=,V=voltagetobemeasured=150volts,(suchthateachdivisionreads1volt),150,ÞR=,-5=9995W,15´10-3,,150,=15mA,10Page349:19,,P-340,,Physics,,Magnetismand,Matter,Magnetism,Gauss’sLaw,,TOPIC1MagneticMoment,Properties,ofMagnet,1.,,2.,,3.,,Asmallbarmagnetplacedwithitsaxisat30°withanexternal,fieldof0.06Texperiencesatorqueof0.018Nm.The,minimumworkrequiredtorotateitfromitsstableto,unstableequilibriumpositionis:,[Sep.Theangleqthatwillproduce,maximummomentoftheforceaboutpointAisgivenby:,[OnlineApril15,2018],A,1,(a)tanq=,4,(b)tanq=2,(c),,4m,,1,tanq=,2,,®,,F,,(d)tanq=4,,(a),,(),,a$$,i–j,5,,(),,a$$,i+j,5,AuniformrectangularthinsheetABCDofmassMhas,lengthaandbreadthb,asshowninthefigure.Att=0,asamplehasthe,samenumberofthetwonuclei.Aloopofradiusrandmassmrotatingwithanangular,velocityw0isplacedonaroughhorizontalsurface.,Theinitialvelocityofthecentreofthehoopiszero.What,willbethevelocityofthecentreofthehoopwhenitceases,toslip?,[2013],,(c),,(a),,rw0,4,,(b),,rw0,3,,rw0,(d)rw0,2,138.Whenthesphericalbobofthependulum,suffersaretardation(duetoviscousdrag)proportional,toitsvelocitywithbastheconstantofproportionality,,theaveragelifetimeofthependuluminsecondis,(assumingdampingissmall),[2012],0.693,b,,(c)2p,,ld,rg,,(b)A=2.0cm,,(c)A<2.0cm,(d)A=1.5cm,Twosimplependulumsoflength1mand4mrespectively,arebothgivensmalldisplacementinthesamedirection,atthesameinstant.Thewallsofthecavity,aremaintainedattemperatureT0.Oneendofastraightuniform1mlongbarispivotedon,horizontaltable.However,itslengthLisvariedby,adjustingtheseparationbetweenwindings.Ifapieceofmetalisheatedtotemperatureqandthen,allowedtocoolinaroomwhichisattemperatureq0,the,graphbetweenthetemperatureTofthemetalandtimet,willbeclosestto,[2013],,T,(a),,(c),,T,q0,,(a),,60.,,(d),,T,q0,,(b),,0,,t,,t,,(d),,Abodytakes10minutestocoolfrom60°Cto50°C.(a)Initiallyforopenorganpipe,fundamentalfrequency,v,n0=,…(i),2l0,wherel0isthelengthofthetube,v=speedofsound,Butwhenitishalfdippedinwater,itbecomesclosedorgan,l,pipeoflength0.,2,Fundamentalfrequencyofclosedorganpipe,v,nc=,…(ii),4lc,l0,Newlength,lc=,2,v,v,Þnc=,Thusnc=,…(iii),4l0/2,2l,Fromequations(i)and(iii),n0=nc,Thus,nc=f(Qn0=fisgiven),43.Twoelectronsaremovingwithnon-relativisticspeeds,perpendiculartoeachother.Aresonancetubeisoldandhasjaggedend.Sonar,R.Carbon,siliconandgermaniumhavefourvalenceelectrons,each.Atanotherpointwherepressureis,Pascalits,2,–1,speedisVms.KineticTeory,,P-186–P-198,,Topic1:KineticTeoryofanIdealGasandGasLaws,Topic2:SpeedofGas,PressureandKineticEnergy,Topic3:DegreeofFreedom,SpecifcHeatCapacity,andMeanFreePath,,,13.2019I],,Onemaycancludethat:,,ToverifyOhm’slaw,astudentconnectsthevoltmeter,acrossthebatteryas,showninthefigure.Ofthe,fourchoicesgivenaftertheStatements,choosetheone,thatbestdescribesthetwoStatements.,Statement-1:Outofradiowavesandmicrowaves,the,radiowavesundergomorediffraction.,Statement-2:Radiowaveshavegreaterfrequency,comparedtomicrowaves.,[OnlineApril25,2013],(a)Statement-listrue,Statement-2istrueand,Statement-2isthecorrectexplanationofStatement-1,(b)Statement-1isfalse,Statement-2istrue.,(c)Statement-1istrue,Statement-2isfalse.,(d)Statement-1istrue,Statement-2istruebutStatement2isnotthecorrectexplanationofStatement-1,Apersonlivesinahigh-risebuildingonthebankofariver,50mwide.(c)Ase=,,e5´10-4,=,;170mA,R,3,,28.Theratiooffinalspeedsofhydrogenand,heliumionsiscloseto:,[Sep.TwoidealCarnotenginesoperateincascade(allheat,givenupbyoneengineisusedbytheotherengineto,producework)betweentemperatures,T1andT2.Ofthe,fourchoicesgivenaftertheStatements,choosetheone,thatbestdescribesthetwoStatements.,Statement1:Batsemittingultrasonicwavescandetect,thelocationofapreybyhearingthewavesreflectedfromit.,Statement2:Whenthesourceandthedetectorare,moving,thefrequencyofreflectedwavesischanged.,[OnlineMay12,2012],(a)Statement1isfalse,Statement2istrue.,(b)Statement1istrue,Statement2isfalse.,(c)Statement1istrue,Statement2istrue,Statement,2isnotthecorrectexplanationofStatement1.,(d)Statement1istrue,Statement2istrue,Statement,2isthecorrectexplanationofStatement1.,87.(a)LetpressureoutsidebeP0andrandRbetheradius,ofsmallerbubbleandbiggerbubblerespectively.,2T,\PressureP1Forsmallerbubble=P0+,r,2T,P2Forbiggerbubble=P0+,(R>r),R,\P1>P2,henceairmovesfromsmallerbubbletobiggerbubble.ThedeBroglie,wavelengthl,ofthefinalparticle,isgivenby:,[8April2019I],(a),,1,l,,2,,=,,1,l12,,+,,1,l22,,(b)l=,,l1l2,,21,1,l2+l2,(d)l=l+l,2,1,2,AparticleAofmass‘m’andcharge‘q’isacceleratedbya,potentialdifferenceof50vAnotherparticleBofmass‘4m’,andcharge‘q’isacceleratedbyapotentialdiffernceof,,(c)l=,10.,,2500V.Page509:P-500,,Physics,,27.,,(b)Skywavepropagationissuitableforfrequencyrange,5MHzto25MHz.,28.Assumeparallelmotionalongthe,x-axis.,[2014],,Q,,P,,y,,Ii,S,,x,,a,mg,,R,,(a)Theweightrisesduetoaverticalforcecausedby,themagneticfieldandworkisdoneonthesystem.,(b)Theweightdonotriseduetoverticalforcausedby,themagneticfieldandworkisdoneonthesystem.2019I],(a)18/17,(b)19/18,(c)20/19(d)21/20,Amusicianusinganopenfluteoflength50cm,producessecondharmonicsoundwaves.Inhowmuchtimewillthe,temperatureofwaterrisefrom27°Cto77°C?Aparticleofmassmwithaninitialvelocityuiˆcollides,perfectlyelasticallywithamass3matrest.Thepiston,andthecylinderhaveequalcrosssectionalareaA.Whatis,thevalueoftheresistance?,[9Jan.The,observerBonthegrounddirectlybeneaththesource,receiveswavesoffrequency2150Hz.ThesourceA,receiveswaves,reflectedfromgroundoffrequency,nearly:(Speedofsound=343m/s),[OnlineApril12,2014],(a)2150Hz,(b)2500Hz,(c)1800Hz,(d)2400Hz,83.ConsiderawaterjarofradiusRthathaswaterfilledupto,heightHandiskeptonastandofheighth(seefigure).,Throughaholeofradiusr(r>d>>l.ThevalueofaccelerationduetogravityatEarth’ssurface,is9.8ms–2.WhenitreachingitshighestpointP,(height1m),thekineticenergyoftheparticle(inJ)is:,(Figuredrawnisschematicandnottoscale;takeg=10,ms–2)¾¾¾.,[NA7Jan.Abombofmass16kgatrestexplodesintotwopiecesof,masses4kgand12kg.Anidealgasgoesthroughareversiblecyclea®b®c®d,hastheV-Tdiagramshownbelow.2019II],(a)581J,(b)291J(c)146J,(d)73J,28.Calculatetheemfinducedinthesmallercoilaftera,timetofitsstartofrotation.,[OnlineApril15,2018],(a),,m0I2,wrsinwt,2R,,(c),,m0I,wpr2sinwt,2R,,(b),,m0I,wpr2sinwt,4R,,(d),,m0I2,wrsinwt,4R,,2Bwl2,2,,(b),,3Bwl2,2,,4Bwl2,5Bwl2,(d),2,2,41.They,carrysteadyequalcurrentsflowingoutoftheplaneof,thepaperasshown.Aftercollision,m1andm2,movewithvelocitiesofv3iândv4iˆ,respectively..,Ifm2=0.5m1andv3=0.5v1,thenv1is:[8April2019II],v,v,(a)v4–2(b)v4–v2(c)v4–2(d)v4+v2,2,4,73.X-rays,(iii)Todetectfractureof,bones,4.Duringthemotionthekinetic,energyofthechargeremainsunchanged.,Statement2:Staticmagneticfieldexertforceonamoving,chargeinthedirectionperpendiculartothemagneticfield.,[OnlineMay26,2012],(a)Statement1isfalse,Statement2istrue.,(b)Statement1istrue,Statement2istrue,Statement2is,notthecorrectexplanationofStatement1.,(c)Statement1istrue,Statement2isfalse.,(d)Statement1istrue,Statement2istrue,Statement2is,thecorrectexplanationofStatement1.,Aprotonandadeuteronarebothacceleratedthroughthe,samepotentialdifferenceandenterinamagneticfield,perpendiculartothedirectionofthefield.MatchListI(Wavelengthrangeofelectromagnetic,spectrum)withListII(Methodofproductionofthese,waves)andselectthecorrectoptionfromtheoptionsgiven,belowthelists.,[OnlineApril9,2014],ListI,,ListII,,(1)700nmto,1mm,,(i)Vibrationofatoms,andmolecules.,,(2)1nmto,400nm,,(ii)Innershellelectrons,inatomsmoving,fromoneenergy,leveltoalowerlevel.,,(3)<10–3nm(iii)Radioactivedecayof,thenucleus.,(4)1mmto,0.1m,,(iv)Magnetronvalve.,,(a)(1)-(iv),(2)-(iii),(3)-(ii),(4)-(i),(b)(1)-(iii),(2)-(iv),(3)-(i),(4)-(ii),(c)(1)-(ii),(2)-(iii),(3)-(iv),(4)-(i),(d)(1)-(i),(2)-(ii),(3)-(iii),(4)-(iv),55.Theforceactingonthetestchargeis,paralleltothedirectionofthecurrent.If‘T1’and‘T2’tobetimeofflightsinthe,twocases,thentheproductofthetwotimeofflightsis,directlyproportionalto.,[2004],1,1,(a)R,(b),(c)2,(d)R2,R,R,36.Fourresistancesof15W,12W,4Wand10Wrespectively,incyclicordertoformWheatstone’snetwork.Ametallicrodoflength‘l’istiedtoastringoflength2l,andmadetorotatewithangularspeedwonahorizontal,tablewithoneendofthestringfixed.Iftheycross,2,eachotherattimet,thentis:,[OnlineApril9,2016],,(a),6.,,7.,,5T,6,,(b),,T,3,,(c),,T,4,,(d),,T,6,,Asimpleharmonicoscillatorofangularfrequency2rad,s–1isacteduponbyanexternalforceF=sintN.The,decreaseinthestoppingpotentialiscloseto:,[11Jan.;,T,100,,V=Rw=0.44×12=5.3cm/sec.,,or5=2+0.2m’orm’=,V0.5,=,=2W.,I0.25,,24.,,(2),,25.,,(p/2)Angularretardation,,,R=,,5-2,=15kg,0.2,,w-w12p(n2-n1)2p(0-900/60)p,a=2,=,=,=rad/s2.,t,t,60,2Page518:MockTest-2,,MT-9,,2,PART-I(MultipleChoiceQuestions),1.,,Thehorizontalcomponentofimpulseprovidedbystring,tensioninmovingfromextremepointtolowermost,point–,///////////////,,3.,,4.,,Acurrentof4Aproducesadeflectionof30°inthe,galvanometer.Ifitsfocallengthinliquidisfl,thentheratiofl/fis,closesttotheinteger:,[7Jan.(b)Initially,timeperiodofmagnet,1,2,I,=25whereI=ml,12,MB,Whenthemagnetiscutintothreepiecesthepolestrength,willremainthesameand,Momentofinertiaofeachpart,,1æmöælö,I,(I¢)=,çè÷øçè÷ø´3=,1233,9,Wehave,Magneticmoment(M),=Polestrength(m)×l,\Newmagneticmoment,,ælö,M'=m´ç÷´3=ml=M,è3ø,,1,T,FortwotemperaturesT1andT2,cµ,,c1T1=c2T2,,T=2p,,Newtimeperiod,T¢=2p,,V,N,ÞM=(mr-1)íV,l,l,,I¢,M¢B,,I,2,T,ÞT¢=,=s.,9MB,93,12.Becauseofthis,thekineticenergylosswillbe:,[OnlineApril25,2013],,(c),,I=,,Mm,m(M+2m)22,w2R2,wR,(b),(M+m),M,Mm,(M+m)M22,wR,w2R2,(c),(d),(M+2m),(M+2m),114.(c)Fromthelensformula,u=–f,v=+µ,Whenuisat–µ,v=f.,,v(cm),,f,–f,,u(cm),,Whentheobjectismovedfurtherawayfromthelens,v,decreasesbutremainspositive.,68.(d)Resistanceofametalconductorattemperaturet°C,isgivenby,Rt=R0(1+at),,R0istheresistanceofthewireat0ºC,andaisthetemperaturecoefficientofresistance.,Resistanceat50°C,R50=R0(1+50a),..Iftherelativeerrorsinmeasuringthemassand,lengtharerespectively1.5%and1%,themaximumerror,indeterminingthedensityis:,[2018],(a)2.5%(b)3.5%,(c)4.5%,(d)6%,ThepercentageerrorsinquantitiesP,Q,RandSare0.5%,,1%,3%and1.5%respectivelyinthemeasurementofa,physicalquantityA=,,P3Q2,.,RS,,ThemaximumpercentageerrorinthevalueofAwillbe,[OnlineApril16,2018],(a)8.5%,(b)6.0%,(c)7.5%,(d)6.5%,55.06,2020(I)],(a)U=,,(g-1),,(g-1),Mv2K,2R,,(a),,n1T1+n2T2+n3T3,n1+n2+n3,,(b),,(c),,n12T12+n22T22+n32T32,n1T1+n2T2+n3T3,,(d),,(b)U=5RTandg=,,7,5,,5,7,6,RTandg=,(d)U=5RTandg=,2,5,5,27.ForthegivencyclicprocessCABasshownforgas,the,workdoneis:,[12Jan.Ifthewavespeedis330m/s,the,frequencyheardbytherunningpersonshallbecloseto:,[9Jan.Acompoundmicroscopeconsistsofanobjectivelensof,focallength1cmandaneyepieceoffocallength5cmwith,aseparationof10cm.,Thedistancebetweenanobjectandtheobjectivelens,at,n,whichthestrainontheeyeisminimumis,cm.,40,Thevalueofnis______.,[NASep.Foracellofemf5Vandinternal,resistanceof20W,thenullpointonitisfoundtobeat,1000cm.InfraredLight,C.05,2020(I)],(a)4.0×1018,(b)4.0×1016,16,(c)5.8×10,(d)5.8×1018,10.A5mFcapacitorischargedfullybya220Vsupply.TheheatFlowinto,thesysteminpathADBis:,[9Jan.Ablockofmassmisconnectedtoanotherblockofmass,Mbyaspring(massless)ofspringconstantk.Ifthe,potentialatx=1isV1andthatatx=–5isV2,then,V1–V2is:,[8Jan.Thecombinationiscompressedby8.75cm.Whatisthecurrentflowinginthecircuit?[2006],4W,,41.,,D1,12V,,42.,,3W,,D2,2W,,(a)1.71A(b)2.00A(c)2.31A(d)1.33A,Inthefollowing,whichoneofthediodesreverse,biased?,[2006],+10V,,R,,(a),+5V,,(b),,–10V,R,–5V,,(c),R,,44.Asmallairbubble,is6cmbelowtheflatsurfaceinsideitalongtheaxis.Iceat–20°Cisaddedto50gofwaterat40°C,Whenthe,temperatureofthemixturereaches0°C,itisfoundthat20,goficeisstillunmelted.The,magneticfieldonapointlyingatadistancedfromO,in,adirectionperpendiculartotheplaneofthewiresAOB,andCOD,willbegivenby,[2007],,d,,Ahorizontaloverheadpowerlineisatheightof4mfrom,thegroundandcarriesacurrentof100Afromeasttowest.,Themagneticfielddirectlybelowitonthegroundis,(m0=4p×10–7TmA–1),[2008],,(a)10-5,,[2005],,(b)12´10-5,,(c)7´10-5,(d)5´10-5,67.TwocapacitorsofcapacitancesCand2Carechargedto,potentialdifferencesVand2V,respectively.Anenginetakesin5moleofairat20°Cand1atm,and,compressesitadiabaticalyto1/10thoftheoriginal,volume.AgalvanometerofresistanceGisconvertedintoavoltmeterofragne0–1VbyconnectingaresistanceR1in,serieswithit.Athincirculardiskisinthexyplaneasshowninthe,figure.Theradii,attheupperandlowerendsofthisconical,wire,havevaluesRand3R,respectively.(AB+B),,AB,,A.B,B,,B,,(,,A.Calculatethetemperature,T2iftheworkoutputsofthetwoenginesareequal:,[9Jan.If‘R’istheradiusofthe,9,Earth,whatistheradiusoftheplanet?Auniformcableofmass‘M’andlength‘L’isplacedona,,P,C,,2m,,æ1ö,horizontalsurfacesuchthatitsç÷partishanging,ènø,belowtheedgeofthesurface.Ifitrotateswithaperiodof10sabout,anaxisinitsplanethenthemagnitudeofinducedemfwill,bemaximumandminimum,respectivelyat:[7Jan.Inanexperimentonphotoelectriceffect,astudentplots,stoppingpotentialV0againstreciprocalofthewavelength,loftheincidentlightfortwodifferentmetalsAandB.,Theseareshowninthefigure.(c)Mass(m)=0.3kg,Force,F=m.a=–kx,Þma=–15x,Þ0.3a=–15x,15,-150,x=,x=-50x,Þa=–,0.3,3,a=–50×0.2=10m/s2,16.TheblockofmassMmovingonthefrictionlesshorizontal,surfacecollideswiththespringofspringconstantkand,compressesitbylengthL.Aplanemirrorisplaced,atadistanceof2mbehindthelens.Therefractiveindexofaglassis1.520forredlightand,1.525forbluelight.Atthesametime,abullet,ofmass0.02kgisfiredverticallyupward,withavelocity,100ms–1,fromtheground.ThefirstparthasamassofPage96:P-87,,SystemofParticlesandRotationalMotion,,92.Athinconvexlensmadefromcrownglassçm=÷has,2ø,è,focallengthf.2019I],(a)200,(b)150,(c)400,(d),360,36.Anengineapproachesahillwithaconstantspeed.Itsradiusisroughlyequaltothatoftheearth’s,radiusRe.Byfiringrocketsattachedtoit,itsspeedis,instantaneouslyincreasedinthedirectionofitsmotionso,3,timeslarger.ThedensityofwateratT=4°C,relativeto,thedensityatT=0°Ciscloseto:,[8Jan2020(I)],(a)1.26,(b)1.04,(c)1.01,(d)1.03,ConsiderasolidsphereofradiusRandmassdensity,,(c),,4.,,5.,,æ,r2ö,r(r)=r0ç1-2÷,0<r£R.Thedimensionsof,2m0,isthemagneticpermeabilityofvacuum,is:,[8Jan.Concretemixtureismadebymixingcement,stoneand,sandinarotatingcylindricaldrum.Theaverage,speedofthecaris,[OnlineMay7,2012],(a)40km/h,(b)45km/h,(c)48km/h,(d)60km/h,Thevelocityofaparticleisv=v0+gt+ft2.Ifthepressureisdoubled,andtemperatureisincreasedto500K,themeantime,betweentwosuccessivecollisionswiilbecloseto:,[12Jan.Inthetable:DQisthe,heatsupplied,DWistheworkdoneandDUischangein,internalenergyofthesystem.,[4Sep.Therefractiveindexofthematerialofaconcavelensism.,Itisimmersedinamediumofrefractiveindexm1.From,r,r,Newton’ssecondlaw,Fnet=ma.,Therefore,accelerationisalsozeroi.e.,velocityremains,unchanged.,19.Theparticleismovingwithavelocityof5m/salongthe,x-axisatx=0.Ifthemassoftheloopism,then:,[9Jan2020,II],,(a),,(a)T=,,2m,IB,,(b)T=,,pm,2IB,,2pm,pm,(c)T=,IB,IB,75.The,equationofthereflectedwavewillbe,y=asin(wt+kx+p),Þy=–asin(wt+kx),(a),(c)Beatfrequency,=differenceinfrequenciesoftwowaves,=11–9=2Hz,(d),(d)Accordingtoquestion,tuningforkgives1beat/second,with(N)3rdnormalmode.Wavelengthoflightusedinanopticalinstrumentare,l1=4000Åandl2=5000Å,thenratiooftheir,,respectiveresolvingpowers(correspondingto,,l1and,,l2)is,,[2002],,(a)16:25,,(b)9:1,,(c)4:5,,(d)5:4Page433:P-424,,1.,,Physics,,(b)For(A),,2.,,xP,P,,(d)Initially,S2L=2m,2,,Q,,xQ,d,,5,æ3ö,S1L=22+ç÷==2.5m,2,è2ø,,A,,Pathdifference,Dx=S1L-S2L=0.5m=,,xP-xQ=(d+2.5)-(d-2.5)=5m,PhasedifferenceDfduetopathdifference,2p,2p,p,(Dx)=,(5)=.,l,20,2,AtA,QisaheadofPbypath,aswaveemittedbyQ,reachesbeforewaveemittedbyP.,,S2,,pp,-=0,22,(duetoPbeingaheadofQby90°),,WhenthelistnermovefromL,firstmaximawillappearif,pathdifferenceisintegralmultipleofwavelength.,Forexample,(n=1forfirstmaxima),Dx=nl=1l,,=I+I+2IIcos(0)=4I,,\Dx=l=S1L'-S2L,,ForC,,,Þ1=d-2Þd=3m,,Pathdifference,xQ-xP=5m,2p,2p,p,(Dx)=,(5)=,l,20,2,,TotalphasedifferenceatC=,,pp,+=p,22,,3.,,(c)Thedistancetraversedbylightinamediumof,refractiveindexmintimetisgivenby,d=vt,...(i),wherevisvelocityoflightinthemedium.Ifeachdivisionof,mainscaleis‘a’units,thentheleastcountoftheinstrument,is,[OnlineMay19,2012],(a)a,(c),,N,á,N+1,,(b),,a,N,,(d),,a,N+1,,72.2019,II],(a)A=208;Z=80,(b)A=202;Z=80,(c)A=208;Z=82,(d)A=200;Z=81,35.Willthepersonbeabletocatchtheball?Ifasphereofradius,iscarvedoutof,2,ur,EA,it,asshown,theratiour,ofmagnitudeofelectric,EB,ur,ur,fieldEAandEB,respectively,atpointsAandBdueto,theremainingportionis:,[9Jan.Iftherollerismovingtowardsrightataconstant,speed,theweightmovesupwitha:[OnlineApril9,2017],(a)TµR3/2foranyn.,,2kg,,F,,Fixedpivot,x,,34.(iii),,q,Z,1+2,Z1,(d)Currentisgivenby,,q2=,,73.,,E,,,R+r,Ifinternalresistance(r)iszero,,E,I=,=constant.,R,Thus,energysourcewillsupplyaconstantcurrentifits,internalresistanceiszero.,74.Sodiumandcopperhaveworkfunctions2.3eVand4.5eV,respectively.(i),b,3,2l,Widthofcentralmaxima=,b,2l,=,=3cm.,2l,3,..Theeffectivehalflifeofthenucleusis,closeto:,[Sep.(iv),=-Page312:P-303,,CurrentElectricity,B,,i,,P2,,i–i1,,m=Zq,,C,,i1,10W,,5V,,1W,,ÞZµ,,2V,,2W,,69.,70.,,71.,,D,,P1,,AgainapplyingKirchoff'ssecondlawinP2CDP1P2we,get,,10i1+2–i+i1=0,2i–22i1=4,....(ii),From(i)and(ii),32i1=1,1,Þi1=,AfromP2toP1,32,1,2,(a)Energyincapacitor=CV,2,Workdonebybattery=QV=CV2,whereC=Capacitanceofcapacitor,V=Potentialdifference,,e=emfofbattery,1,CV2,1,2,=(QV=e),Requiredratio=,2,2,CV,(d)Note:Kirchhoff'sfirstlawisbasedonconservation,ofchargeandKirchhoff'ssecondlawisbasedon,conservationofenergy.,(d)Atcoldjunction,currentflowsfromAntimonyto,Bismuthbecausecurrentflowsfrommetaloccurringlater,intheseriestometaloccurringearlierinthethermoelectric,series.atroomtemperature(300,K).It,slidestotherightwithavelocityv.Thedifferenceinthevariationofresistancewith,temeperatureinametalandasemiconductorarises,essentiallyduetothedifferenceinthe,[2003],(a)crystalsturcture,(b)variationofthenumberofchargecarrierswith,temperature,(c)typeofbonding,(d)variationofscatteringmechanismwithtemperature,47.The,amplitudeoftheelectricfieldofthelightatadistanceof1m,fromthediodeis:,[2015],(a)5.48V/m,(b)7.75V/m,(c)1.73V/m,(d)2.45V/m,A2VbatteryisconnectedacrossABasshowninthe,figure.Whichgivesrisetoatransversewave,knownaselectromagneticwave.,42.Theplateareais10–4m2.Thefundamentalfrequencyofthe,air-columnisnow:,[2012],(a)f,(b)f/2,(c)3f/4(d)2f,Anaircolumninapipe,whichisclosedatoneend,will,beinresonancewtihavibratingtuningforkoffrequency,264Hzifthelengthofthecolumnincmis(velocityof,sound=330m/s),[OnlineMay26,2012],(a)125.00(b)93.75,(c)62.50(d)187.50,Auniformtubeoflength60.5cmisheldverticallywith,itslowerenddippedinwater.(c)ig=20×50=1000µA=1mA,Using,V=ig(G+R),wehave,2=10–3(100+R1),R1=1900W,when,V=10volt,10=10–3(100+R2+R1),10000=(100+R2+1900),\R2=8000W,100.AdiatomicidealgasisusedinaCarnotengineasthe,workingsubstance.AconductingsquareloopofsideLandresistanceRmoves,initsplanewithauniformvelocityvperpendiculartoone,ofitssides.When,abeamofunpolarizedlightofintensityIoisincidentonP1,,theintensityoflighttransmittedbythethreepolarizersisI.,Theratio(Io/I)equals(nearly):,[12April2019II],(a)5.33,(b)16.00(c)10.67,(d)1.80,Diameteroftheobjectivelensofatelescopeis250cm.,Forlightofwavelength600nm.Atennisball(treatedashollowsphericalshell)starting,fromOrollsdownahill.Thenumberofchannelsaccomodated,fortransmittingTVsignalsofbandwidth6MHzare(Take,velocityoflightc=3×108m/s,h=6.6×10–34J-s),[9Jan.Twopointmassesmand2mmovingin,thesamehorizontalplanefromoppositesidesofthebar,withspeeds2vandvrespectively.Iftwopointson,thecirclemakeanangle60°atthecentre,theequivalent,resistancebetweenthesetwopointswillbe:[9Apr.Iftheangleofreflectionis45°,weconcludethat,therefractiveindexn,[2004],,45°,45°,,45°,,45°,B,,79.,,C,,(a)nolight,(b)greenandbluecolours,(c)redandgreencolours,(d)redcolouronly,Aglassprismofrefractiveindex1.5isimmersedinwater,4,(refractiveindex)asshowninfigure.Theresistanceofanelectricaltoasterhasatemperature,dependencegivenbyR(T)=R0[1+a(T–T0)]initsrange,ofoperation.Speed(inms–1)ofthispersonasobservedfrom,trainBwillbecloseto:(takethedistancebetweenthe,tracksasnegligible),[2Sep.Aboxweighs196Nonaspringbalanceatthenorthpole.,Itsweightrecordedonthesamebalanceifitisshiftedto,theequatoriscloseto(Takeg=10ms–2atthenorthpole,andtheradiusoftheearth=6400km):[7Jan.(c)Deflectioncurrent,=Igmax=nxk=0.005×30,Where,n=Numberofdivisions=30andk=0.005amp/,division,=15×10–2=0.15,v=Ig[20+R],15=0.15[20+R],100=20+R,R=80W,,I/2,,R,E,,Dividing(i)by(ii),weget,225Rg+1100,Þ,=5,1100+5Rg,,v,,1,2,S=,(R+G)I,e2,RG´,,Cq0,5E,=,225Rg+1100,5,,50W,,108.(a)Forabodythrownverticallyupwardsacceleration,remainsconstant(a=–g)andvelocityatanytimetis,givenbyV=u–gt,Duringrisevelocitydecreaseslinearlyandduringfall,velocityincreaseslinearlyanddirectionisoppositeto,eachother.,Hencegraph(a)correctlydepictsvelocityversustime.,,Þ,,u2+2gh=-u+gt,,Timetakentoreachhighestpointist=,Þt=,,u+u2+2gH,,g,(fromquestion),,=,,u,,,g,,nu,g,,Þ2gH=n(n–2)u2,41.Theblockisplacedoverafixedrough,inclinedsurfaceforwhichthecoefficientoffrictionis,µ=3/4.Theapexangleis60.Fourpointmasses,eachofmassm,arefixedatthecorners,ofasquareofsidel.(b)a=0.1mm=10–4cm,,l=6000×10–10cm=6×10–7cm,D=0.5m,for3rddarkband,asinq=3l,3lx,=,orsinq=,a,D,Thedistanceofthethirddarkbandfromthecentralbright,band,x=,,-7,3lD3´6´10´0.5,=,=9mm,a,10-4,,65.(a)Thermistorsareusuallymadeofmetaloxideswith,hightemperaturecoefficientofresistivity.,105.02,2020(I)],(a)0.5mg,(b)2mg,(c)0.75mg,(d)1mg,,),,(d)-48k$,46.Thecentreofthesmallloop,isontheaxisofthebiggerloop.Inamplitudemodulation,sinusoidalcarrierfrequencyused,isdenotedbyωcandthesignalfrequencyisdenotedby,ωm.(c)Potentialenergy(U)=,,1212,kA-kx,2,2,Accordingtothequestion,U=k,,25.,,Kineticenergy(K)=,,WorkdonebyspringS1,w1=,,1,k1x2,2,,1,1,1,\kx2=kA2-kx2,2,2,2,A,Þx2=A2or,x=±,2,(b)ForaparticleexecutingSHM,Atmeanposition;t=0,wt=0,y=0,V=Vmax=aw,1,\K.E.=KEmax=mw2a2,2,T,p,Atextremeposition:t=,wt=,y=A,V=Vmin=0,4,2,\K.E.=KEmin=0,,WorkdonebyspringS2,w2=,,1,k2x2,2,,1,KineticenergyinSHM,KE=mw2(a2–y2),2,1,=mw2a2cos2wt,2,Hencegraph(b)correctlydepictskineticenergytimegraph.,26.Findthehalflife(inhours).,Sixresistorsof10Weachareconnectedasshown.Aparticleofmassmcarryingchargeqismovinginaplanewitspeedvunderthe,®,,influenceofmagneticfieldB.Theresonant,frequencywis200rad/s.Thenthe,3,m,ratioof,is,[2003],M,3,25,16,5,(b),(c),(d),(a),5,9,9,3,Thelengthofasimplependulumexecutingsimpleharmonic,motionisincreasedby21%.ThedipolemomentofacircularloopcarryingacurrentI,,ismandthemagneticfieldatthecentreoftheloopisB1.,WhenthedipolemomentisdoubledbykeepingthecurrentPage326:P-317,,MovingChargesandMagnetism,,currentconstant,themagneticfieldatthecentreofthe,B,loopisB2.2020(I)],(a)1:6,(b)1:3,(c)1:2,(d)3:4,Abodyismovinginalowcircularorbitaboutaplanetof,massMandradiusR.Ifittakes5minutestofilla15litrebucketfromawatertap,,ofdiameter,,2,,cmthentheReynoldsnumberforthe,p,flowis(densityofwater=103kg/m3)andviscosityof,water=10–3Pa.s)closeto:,[OnlineApril10,2015],(a)1100,(b)11,000(c)550,(d)5500Page151:P-142,,Physics,,30.Thenthestretchinthespringis:,[8Jan.MomentofinertiaofanequilateraltriangularlaminaABC,,abouttheaxispassingthroughitscentreOand,perpendiculartoitsplaneisIoasshowninthefigure.Thetransfercharacteristiccurveofatransistor,having,inputandoutputresistance100Wand100kW,respectively,isshowninthefigure.ThevalueofNis_________.,[Sep.(d)Asweknow,I=,,V5,=,=0.1,R50,,I'=0.099,WhenGalvanometerisconnected,100S,V,Req=50+,=,100+SI,100S,5,Þ,=,-50,100+S0.099,100S,100S,=50.50-50Þ,=0.5,100+S,100+S,Þ100S=50+0.55Þ99.5S=50,50,S=,=0.5W,99.05,So,shuntofresistance=0.5Wisconnectedinparallelwith,thegalvanometer.,V,114.Fatsupplies,3.8×107Jofenergyperkgwhichisconvertedto,mechanicalenergywitha20%efficiencyrate.Thereisnegligiblefrictionatthepivot.Theresistanceofthe,conductorandtheselfinductanceoftheloopare,negligible.Thecorrectamplitudemodulated(AM)signalis:,[9April2019I],,(a),,2.,,3.,,4.,,(a)v0sinw0t+Asin(w0w)t+Asin(w0+w)t,¯,2,2,(b)v0sin[w0(1+0.01Asinwt)t],,Thewavelengthofthecarrierwavesinamodernoptical,fibercommunicationnetworkiscloseto:,[8April2019I],(a)2400nm(b)1500nm(c)600nm(d)900nm,7.2019I],(a),,n1,n2,,(b),,n2r1,×,n1r2,,(c),,n2r22,×,n1r12,,(d),,n2,n1,,32.Theangular,momentumoftheparticleatt=2sabouttheoriginin,kgm–2s–1is:,[OnlineApril23,2013],(a)-80k$,(b)(10iˆ-16ˆj),(c)-40k$,(d)40k$,Abulletofmass10gandspeed500m/sisfiredintoadoor,andgetsembeddedexactlyatthecentreofthedoor.The,errorinthedeterminationofgwouldbe:,[OnlineApril9,2014],(a)1.7%(b)2.7%,(c)4.4%,(d)2.27%,69.Inanexperimentasphereofaluminiumofmass0.20kg,isheatedupto150°C.Simultaneouslynumberofcollisions,betweenelectronsandpositivekernelsincreaseswhich,decreasetherelaxationtime.,47.Thekineticenergy,oftheparticleafterithastravelled3mis:,[7Jan.(c)MagneticfieldinsolenoidB=m0ni,ÞM=,,Þ,,B,=ni,m0,,(Wheren=numberofturnsperunitlength),BNi,100i,=,Þ3´103=,m0L,10´10-2,Þi=3A,,Þ,,3,,B1,B2,O,,S,N,,or,H=,,23.,,),,\M@1023Am2,31.The,ratioofthede-Brogliewavelengthoftheparticletothatof,theelectronis1.878×10–4.(d)None,PART-II(NumericalAnswerQuestions),21.,M,,m,,18.,,19.,,37°,/////////////////////////////////////////,3,4,6,3,m,m,m,m,(a),(b),(c),(d),5,5,5,2,AchargedparticleofmassmandhavingachargeQis,placedinanelectricfieldEwhichvarieswithtimeasE=E0,sinwt.Whichofthefollowinggraphscorrectly,describes(x1–x2)asafunctionoftime‘t’?,[2008],(x1–x2),,(x1–x2),,(a),,O,,t,,(b),,(d),,O,,t,,f,tocometorest.The,circularscaleis4unitsaheadofthepitchscalemarking,,priortouse.Ifanyoneinputis'1',thentheoutputis'1'.,83.Ifa50mtalltowerat,adistanceof1kmisobservedthroughthistelescopein,normalsetting,theangleformedbytheimageofthetower,isq,thenqiscloseto:,[OnlineApril10,2015],(a)30°,(b)15°,(c)60°,(d)1°,90.ms–1,,Incaseofap-njunctiondiodeathighvalueofreverse,bias,thecurrentrisessharply.AcirculardiscofradiusRisremovedfromabiggercircular,discofradius2Rsuchthatthecircumferencesofthediscs,coincide.(a)Whenamovingchargedparticleissubjectedtoa,perpendicularmagneticfield,thenitdescribesacircular,pathofradius.,p,r=,qB,whereq=Chargeoftheparticle,p=Momentumoftheparticle,B=

Magneticfield,Herep,qandBareconstantforelectronandproton,therefore,theradiuswillbesame.,33.02,2020(II)],(a),,B,,(c),,C,,8.,,D,,(a)D,3.,,(b)B,,(c)C,,(d)A,,12,mvbombardsaheavy,2,nucleartargetofchargeZe.Thenthedistanceofclosest,approachforthealphanucleuswillbeproportionalto,[2006],,Analphanucleusofenergy,,(a)v2,,(b),,1,m,,(c),,1,v,,2,,(d),,1,Ze,,9.,,[NASep.(d)mgsinq=ma,\a=gsinq,\Verticalcomponentofacceleration,=gsin2q,\RelativeverticalaccelerationofAwithrespecttoBis,,Þv=,,g(sin260-sin230],æ31ög,=gç–÷==4.9m/s2,è44ø2,inverticaldirection,13.Thevoltagedifferenceacross,thebatteryofinternalresistance20Wiszero,thevalue,ofR(inW)is_________.,[NA.02,2020(I)],,3l,thestoppingpotentialis,,29.Anelevatorinabuildingcancarryamaximumof10,persons,withtheaveragemassofeachpersonbeing68,kg.Whatfractionoftheinnervolumeofthe,containershouldtheliquidoccupysothatthevolumeof,theremainingvacantspacewillbesameatalltemperatures?,[OnlineApril23,2013],(a)2:5,(b)1:4,(c)1:64,(d)1:8,OnalineartemperaturescaleY,waterfreezesat–160°Y,andboilsat–50°Y.Thespringconstantk,willbe,[OnlineMay12,2012],,),,Statement-II:Maximumenergylossoccurswhenthe,particlesgetstucktogetherasaresultofthecollision.,[2013],(a)Statement-Iistrue,Statment-IIistrue,Statement,-IIisthecorrectexplanationofStatement-I.,(b)Statement-Iistrue,Statment-IIistrue,StatementIIisnotthecorrectexplanationofStatement-II.,(c)Statement-Iistrue,Statment-IIisfalse.,(d)Statement-Iisfalse,Statment-IIistrue.,,(a)210s,,(b)5s,,(c)10s,,(d),,10s,,90.(c)Forabalancedbridge,R1l2,=,R2l1,,\R1=kòl-12dl=k.2.l,,R,l,=,X100–l,Usingtheaboveexpression,,1,,R2=kòl-12dl=k.(2-2l),l,,PuttingR1=R2,,k2l=k(2-2l),\2l=1,l=,,R(100–l),l,,100´402000,=,W,forobservation(1)X=,60,3,,forobservation(2)X=,,100´878700,=,W,13,13,,forobservation(3)X=,,10´98.51970,=,W,1.5,3,,1´99,=99W,1,Clearlywecanseethatthevalueofxcalculatedin,observation(4)isinconsistentthanother.,117.Whichgraphcorrespondstoanobjectmovingwitha,constantnegativeaccelerationandapositivevelocity?,[OnlineApril8,2017],,(a),,d,3,,R,,(b),,(a),,2,,(b),Velocity,,Velocity,,1,0,,13.,,12345678910,(a)10m,(b)6m,(c)3m,(d)9m,Inacarraceonstraightroad,carAtakesatimetless,thancarBatthefinishandpassesfinishingpointwith,aspeed'v'morethanofcarB.2020II],,wavelengthbecome,,(He++),,Anelectron,adoublyionizedheliumion,anda,protonarehavingthesamekineticenergy.Inanunbiasedn-pjunctionelectronsdiffusefromn-region,top-regionbecause:,[OnlineApril10,2015],(a)holesinp-regionattractthem,(b)electronstravelacrossthejunctionduetopotential,difference,(c)onlyelectronsmovefromntopregionandnotthe,vice-versa,(d)electronconcentrationinn-regionismorecompared,tothatinp-region,29.(a)Insolids,Velocityofwave,,n=,,p,2l,,p1,,=,,T,,pr2r,AsT,r,andlaresameforboththewires,n1=n2,p2,,r1,r2,p,1,Þ1=,p22,,ÞlA=2lB,,P1,=,q2,31.Two,blocksAandBareplacedonthetwoplanes.Asheetofaluminiumfoilofnegligiblethicknessis,introducedbetweentheplatesofacapacitor.Thecollisionis,2,headon,andelastic.(figures,arenotdrawntoscale),[OnlineApril11,2015],,(a),36.,,V(r),V(r),,(a),,V(r),(c),,(b),,r,,O,,O,,r,,(d),,r,,O,V(r),O,,rPage126:P-117,,Gravitation,,37.Thereisnoneedtoindicatequestionpaperlanguage,atthetimeofJEE(Advanced)-2018registration.[2008],1,2,(a)Tnµ2,rnµn,n,(b)Tnindependentofn,rnµn,1,(c)Tnµ,rnµn,n,,n=4,n=3,,force,,50.,,51.,,1,2,(d)Tnµ3,rnµn,n,Whichofthefollowingtransitionsinhydrogenatomsemit,photonsofhighestfrequency?,[2007],(a)n=1ton=2(b),n=2ton=6,(c)n=6ton=2(d),n=2ton=1,Thediagramshowstheenergylevelsforanelectronina,certainatom.Iftheratioofthe,coefficientsoflinearexpansionofAandBis4:3,then,thevalueofTis:,[11Jan.Whatwillbethevalueofitsvolumein,appropriatesignificantfigures?,[10Jan.Theamountoficeaddedtothe,waterwascloseto,[11Jan.A10mFcapacitorisfullychargedtoapotentialdifference,of50V.(Thecoordinatesof,thesameareshowninfigure)are:,[8Jan.Themaximumkineticenergyandthestopping,potentialareKmaxandV0respectively.Dissipatedpowerwhen,anidealpowersupplyof11Visconnectedacrossitis:,[10Jan.IfthetiebreakingcriterionatStep1,failstobreakthetie,thenthefollowingcriterionatStep2willbe,followed.Ifthecurrentintheprimaryofthe,transformeris5Aanditsefficiencyis90%,theoutput,currentwouldbe:,[9Jan.Theblock,arekeptonasmoothhorizontalplane.Whenthecapacitorsarefully,charged,thebatteryisremovedandafterthatadielectric,materialofdielectricconstantKisplacedbetweenthe,twoplatesofthefirstcapacitor.Whenitisataheighth1,agirlstandingatadistance,d(pointB)fromA(seefigure)seesitatanangle45ºwith,respecttothevertical.Inacommonemitterconfigurationwithsuitablebias,itis,giventhanRListheloadresistanceandRBEissmallsignal,dynamicresistance(inputside).Theyareconnectedbyaspring,ofnegligiblemass.Aman(mass=50kg)andhisson(mass=20kg)are,standingonafrictionlesssurfacefacingeachother.AnotherparticleBofthesamechargeandmass4,mgiskeptatadistanceof1mmfromP.Thesystemdissipatesitsenergy,gradually.Issilveredatthecurvedsurface.2020II],V1,a,,5mF,d,,O,,6V,,(a)18.00mC,(b)10.90mC,(c)16.36mC,(d)5.45mC,49.AtT0=300K,R=100WandatT=500K,R=,120W.AuniformsphereofweightWandradius5cmisbeing,heldbyastringasshowninthefigure.ACarnotenginehasanefficiencyof1/6.Theforcebyelectricfieldwillbealongthelines,ofuniformelectricfield.Inanotherexperimentwiththesame,arrangementthetwoslitsaremadetoactasincoherent,sourcesofwavesofsameamplitudeandwavelength.Thedistanceatwhichcarcanbestoppedis,[mk=0.5],(a)1000m(b)800m,,(a)20N,(b)50N,(c)100N(d)2N,66.Itusesatorsionbandoftorsionconstant10–,6N-m/rad.Oneendofamasslessrope,whichpassesoveramassless,andfrictionlesspulleyPistiedtoahookCwhiletheother,endisfree.Themoleculardiameter,ofO2,anditsrootmeansquarespeed,arefoundtobe0.3,nmand200m/s,respectively.Acarbonresistancehasfollowingcolourcode.The,coefficientoffrictionbetweenthetableandtheblockis,0.2.Theminimummass(inkg)ofCthatmaybeplacedon,Atopreventitfrommovingisequalto,,Aninsecttrappedinacirculargrooveofradius12cm.,movesalongthegroovesteadilyandcompletes7,revolutionsin100sec.Aheatingelementhasaresistanceof100Watroom,temperature.AprojectileofmassMisfiredsothatthehorizontal,rangeis4km.Given:l=5.5×10–7m,whichofthefollowing,istrueforobservingthemeshthroughthetelescope?,[OnlineMay26,2012],(a)Yes,itispossiblewiththesameaperturesize.,(b)Possiblealsowithanaperturehalfthepresent,diameter.,(c)No,itisnotpossible.,(d)Givendataisnotsufficient.,Wewishtomakeamicroscopewiththehelpoftwopositive,lensesbothwithafocallengthof20mmeachandthe,objectispositioned25mmfromtheobjectivelens.Theemfe2is:,[11Jan.Formationofcovalentbondis,bestexplainedbymolecularorbitaltheory.,22.A,B,CandDarefourdifferentphysicalquantitieshaving,differentdimensions.Consideratwoparticlesystemwithparticleshavingmasses,m1andm2.Themaximumpossible,numberofdiffractionminimaproducedonbothsidesof,thecentralmaximumis_____________.,[NASep.(c)Incaseofwater,themeniscusshapeisconcave,upwards.Duringanadiabaticcompression,830Jofworkisdoneon,2molesofadiatomicidealgastoreduceitsvolumeby,50%.Mgramsofsteamat100°Cismixedwith200goficeatits,meltingpointinathermallyinsulatedcontainer.Theradiusofthedropis(neglect,buoyancy).,[OnlineApril23,2013],(a)4.3×10–7m,(b)7.8×10–7m,(c)0.078×10–7m,(d)3.4×10–7m,40.Astationaryobserverreceivessoundfromtwoidentical,tuningforks,oneofwhichapproachesandtheotherone,recedeswiththesamespeed(muchlessthanthespeed,ofsound).(c),,æ1,1,1ö,=(m-1)ç,f,èR1R2÷ø,,R=10cm.,,1ö,10,æ1,f¢=(3-1)ç,=è-1010÷ø,4,,v=10m/s,,=Hmvcosq,,3,m,5,,QE0,=w2A,m,,1,hc,-f,mv2=,2,l,,q=60°,®,,M=,,QE0,mw2,,(c)Given:m=0.160kg,,®,,AngularmomentumL=r´mv,,or,,1,hc,4hc,-f=,-f.(a)Colourcodeforcarbonresistor,Bl,Br,R,O,Y,G,Blue,V,Gr,W,0123456789,Resistance,R=AB×C±D,BandsAandBarethefirsttwosignificantfiguresof,resistance,BandCindicatesthedecimalmultiplierorthenumberof,zerosthatfollowAandB,BandDistolerance:Gold=±5%,,Silver=±10%Nocolour=±20%,9´10,,æ1ö,ÞlnR=-mç,÷+c,èT2ø,here,m&careconstants,,6.,,æröæ11ö,R=ç÷.ç-÷,è4pøèabø,,1.5,,(b)Equationofstraightlinefromgraph,y=–mx+c,,R,,ré-1ù,4pêëxúûa,,=,,rC=1.724´10-8,,3.,4.,,b,,ÞR=,,dx,4px2,,æ1ö,-mç,2÷,=eèTø´ec,,28,,R=53´104±5%=530kW±5%Page305:P-296,,14.,,15.,,Physics,,(c)Resistanceaftertemperatureincreasesby500°Ci.e.,,V220,Rt==,=110W,I,2,R0=100(given)temperaturecoefficientofresistance,a=?,usingRt=R0(1+at),110=100(1+a500),a=,,10,100´500,,or,,,a=2´10-4°C-1,,(c)Chargedensityr=,,charge,q,=,Þq=rAd,volumeAd,,qrAd,=,I,I,(a)Given,R1=100W,r'=r/2,R2=?,rl,Resistivityofwire,R=,QArea×length=volume,A,rV,Hence,R=2,A,Since,r®constant,V®constant,1,Rµ2,A,1,QA=pr2,orRµ,r4,R2,=16ÞR2=16´100=1600W,Resistanceofnewwire.,R1,l,(b)V=IR=(neAvd)r,A,V,\r=Vlne,d,HereV=potentialdifference,l=lengthofwire,n=no.Thesecannot,becombinedtoprovidetheresultantcapacitanceof:,[OnlineApril9,2014],(a)1mF,(b)2mF,(c)4.5mF,(d)6mF,91.ArayoflightAOinvacuumisincidentonaglassslabat,angle60oandrefractedatangle30oalongOBasshownin,thefigure.Apointparticleisheldontheaxisofaringofmassmand,radiusratadistancerfromitscentreC.Whenhitbyabulletofmass50gmovingwithspeed,n,thatgetsembeddedinit,theblockmovesandcomesto,stopaftermovingadistanceof2monthetable.Thepotentialdifferencedevelopedacross,thecapacitoris:,[8April2019II],(a)3V,(b)1V,(c)5V,(d)2V,Inthefigureshown,aftertheswitch‘S’isturnedfrom,position‘A’toposition‘B’,theenergydissipatedinthe,circuitintermsofcapacitance‘C’andtotalcharge‘Q’is:,[12Jan.Theinitialspeedofabulletfiredfromarifleis630m/s.ThewavelengthshiftDlisthreetimes,oflandtheangleofscatteringqis60°.Theratioofthe,a,magneticfieldsduetothewireatdistance,and2a,,3,respectivelyfromtheaxisofthewireis:[9Jan2020,I],2,1,3,(b)2,(c),(d),3,2,2,Anelectrongunisplacedinsidealongsolenoidofradius,Ronitsaxis.Whenatotalchargeqflowsthroughthe,voltameters,equalamountofmetalsaredeposited.Theaccelerationis[2005],(a)2bv3,(b)–2abv2(c)2av2,(d)–2av3,Anautomobiletravellingwithaspeedof60km/h,can,braketostopwithinadistanceof20m.Theplates,areseparatedbyd=0.1mandcanbetreatedasinfinitely,large.02,2020(II)]Page300:P-291,,CurrentElectricity,,E1,J,,P,r,,Q,G,,E2,,S,(a)0.02V/cm,(b),0.01V/cm,(c)0.03V/cm,(d),0.04V/cm,112.02,2020(II)],R1,R3,,R2,,C,R5,,57.(1)and(2)weget,,v12=v2+,,v2,,Þv1=,,2,,v,3,3,95.A60Wbulbisalreadyswitchedon.,Whatisthedecreaseofvoltageacrossthebulb,whena,240Wheaterisswitchedoninparalleltothebulb?[2013],(a)zero,(b)2.9Volt,(c)13.3Volt,(d)10.04Volt,95.Itispulledintothe,,C,,Charge,,Charge,,Q2,,Q2,,(c),3µF,,C,,1µF,,3µF,,C,,85.2020I],13,(a),23,15,(b),13,23,(c),13,13,(d),15,,(c)Page95:P-86,,Physics,,83.Themotionofthe,chargeis:,[OnlineApril9,2017],(a)awayfromthewire,(b)towardsthewire,(c)paralleltothewirealongthecurrent,(d)paralleltothewireoppositetothecurrent,15.E.l/2=,-f,...(ii),l/2,(formonochromaticlightofwavelengthl/2),Fromquestion,,,l,,\v¢>v,,3,,12.4´10,ev,l,fordifferentwavelengths,,=,,2hc,hc,-f=3-3f,l,l,,47.,,hchc,=,+eV,l2l0,,...(2),,hchc,=,+3eV',...(3),l3l0,Fromequation(1)&(2),3,2,1,=,2l12l2l0,,andl2=6216Å,andI=3.6´10-3Wm-2,Intensityassociatedwitheachwavelength,,f2=,,12.4´10312.4´103,=,=1.994eV=3.184×10–19,l2,6216,,(Q1cm,,2,,-4,,=10m,,2,,1.8´10-3,3.984´10,,-19,,´10-4,,)=0.45×10,,12,,So,thenumberofphotoelectronsliberatedin2sec.,=0.45×1012×2,=9×1011,50.Identifythepairwhosedimensionsareequal,[2002],(a)torqueandwork,(b)stressandenergy,(c)forceandstress,(d)forceandwork,,TOPIC3ErrorsinMeasurements,38.Inanexperimentfordeterminationofrefractiveindexof,glassofaprismbyi–d,plotitwasfoundthatarayincident,atangle35°,suffersadeviationof40°andthatitemerges,atangle79°.TheplatecurrentIofthephotocellvariesas,follows:,[2013],,(d),,O,O,l,l,52.Iftheprotoncompletes10revolutionbythetimeit,crosstheregionshown,‘l’iscloseto(massofproton,=1.67×10–27kg,chargeoftheproton=1.6×10–19C),[Sep.Itproducescontinuous,aswellascharacteristicX-rays.Iflministhesmallestpossible,wavelengthofX-rayinthespectrum,thevariationofloglmin,withlogViscorrectlyrepresentedin:,[2017],(a),,(b),,(c),,(d),,43.Insemi-conductorresistanceincreases,withdecreaseintemperature.,46.Infreespace,aparticleAofcharge1mCisheldfixedata,pointP.(a)Frequencyremainsunchangedduringrefraction,VelocityofEMwaveinvacuum,1,=C,Vvacuum=,m0Î0,vmed=,lmed,,lvacuum,,1,µ0Î0´4,=,,vmed,vvacuum,,=,,c,2,,=,,c/21,=,2,c,,\Wavelengthishalvedandfrequencyremains,unchanged,45.(50),Given:Lengthofcompoundmicroscope,L=10cm,Focallengthofobjectivef0=1cmandofeye-piece,,fe=5cm,u0=fe=5cm,Finalimageformedatinfinity(¥),ve=¥,v0=10–5=5,Usinglensformula,,,111,-=,vuf,,11,1,111,5,=,Þ=Þu0=-cm,v0u0,f0,5u01,4,,or,,,5N,=,440,,\N=,,200,=50cm.,4Page423:P-414,,91.,,Physics,,(QD=25cmleastdistanceofdistinctvision)=200,Hencethemagnifyingpowerofthecompoundmicroscope,is200,(d)Given,Focallengthofobjective,f0=30cm,focallengthofeyelens,fe=3.0cm,Magnifyingpower,M=?,MagnifyingpoweroftheGalileantelescope,,fæfö,MD=0ç1-e÷,feè,Dø,,Limitofresolution,Dq=,1.22´5.5´10-7,,=2.23×10–5rad.,3´10-2,Atadistanceof80m,thetelescopeisabletoresolve,betweentwopointswhichareseparatedby2.23×10–5,×80m,=1.78×10–3m,,=,,30æ,3ö,ç1-÷[QD=25cm],3è25ø,,=,,22,=8.8cm,25,(c)Onesideofmirrorisopaqueandanothersideis,reflectingthisisnotincaseoflenshence,itiseasierto,providemechanicalsupporttolargesizemirrorsthanlarge,sizelenses.Theratioofthe,4,B,specificheats(CA,VandCV)ofgasAandB,respectively,is:,[9Jan2020I],(a)7:9,(b)5:9,(c)3:5,(d)5:7,Twogases-argon(atomicradius0.07nm,atomicweight,40)andxenon(atomicradius0.1nm,atomicweight140),havethesamenumberdensityandareatthesame,temperature.(a)Thefinalbooleanexpressionofthesegatesis,,X=(A.Ifanotherstationarydisc,R,havingradius,andsamemassMisdroppedco-axially,2,ontotherotatingdisc.Tofindqequatetherateofchangeofangular,momentum(directiongoingintothepaper),,ml22,wsinqcosqaboutthecentreofmass(CM)tothe,12,torqueprovidedbythehorizontalandverticalforcesFH,andFVabouttheCM.(c),,A,,Y,,Dr,=?,r,,g=,,Wire(1),,æDlö,g,stress,Þstrainç÷=,strain,èl0østress,,…(i),,DV=2prl0Dr-pr2Dl,andsolvingweget,Dr,=0.25´10-4,r,(c)Accordingtoquestions,,,Dlb=,,prs2.ys,,2Mglb,prb2.yb,,Y=,,[QFs=(M+2M)g],[QFb=2Mg],,Þ,,Stress,Strain,,105,pr2Y,,Therefore%strain=,,=,,Forwire2,,...(ii),,21.Alightwaveisincidentnormallyonaglassslabof,refractiveindex1.5.If4%oflightgetsreflectedandthe,amplitudeoftheelectricfieldoftheincidentlightis30V/,m,thentheamplitudeoftheelectricfieldforthewave,propogatingintheglassmediumwillbe:[12Jan.Thebodywillhavemaximumspeed,(forg=10m/s2)whenx=,[OnlineApril22,2013],(a)9.8m,(b)27m,(c)12m,(d)3.33m,57.(b)Workdone,w=kx,2,,1,=e-t10or2=e10,2,t,ln2=,\t=3.5seconds,10,1,2,2,(d)K.E=k(A-d),2,12,andP.E.=kd,2,Atmeanpositiond=0.(assumenoloss,ofheattothesurroundings)iscloseto:,,(c),11.,,Physics,,2,1,(a)ln2,(b),ln2,2,(c)2ln2,(d)ln2,16.Supposethegravitationalforcevariesinverselyasthenth,powerofdistance.Then,thenumberclosestto,,Earth’sorbit,,(a)2,,(b)6,,DF1,is:,DF2,,[OnlineApril15,2018],(c)10–2,(d)0.6Page123:P-114,,7.,,Physics,,Fourparticles,eachofmassMandequidistantfromeach,other,movealongacircleofradiusRundertheactionof,theirmutualgravitationalattraction.02,2020(I)],2,–1,2,–3,(a)FAV,(b)FAV,(c)FA2V–2,(d)FA–1V0,Ifmomentum(P),area(A)andtime(T)aretakentobethe,fundamentalquantitiesthenthedimensionalformulafor,energyis:,[Sep.InitialangularvelocityofacirculardiscofmassMis,w1.(a)Asshowninthefigure,theresultantelectricfields,beforeandafterinterchangingthechargeswillhavethe,samemagnitude,butoppositedirections.,Aspotentialisascalarquantity,Sothepotentialwillbe,sameinbothcases.,q,q,A,B,=,,R+r,24.Itstrikesauncompressedspring,andcompressesittill,theblockismotionless.IntheformulaÎis,0,Î|A|,0,,55.,,andequalto,,permittivityoffreespace,AistheareaofGaussiansurface,andqencischargeenclosedbytheGaussiansurface.AcurrentiisflowinginastraightconductoroflengthL.,Themagneticinductionatapointonitsaxisatadistance,L,fromitscentrewillbe:,4,,[OnlineApril22,2013],,(a)Zero,,(b),,m0i,,(d),,(c),,m0i,2pL,,4m0i,,2L,5pL,56.(d)Aslisincreased,therewillbeavalueoflabove,whichphotoelectronswillbeceasetocomeoutso,photocurrentwillbecomezero.04,2020(II)],(a)10rads–1,(b)10prads–1,(c)20prads–1,(d)20rads–1,TwomagneticdipolesXandYareplacedataseparation,d,withtheiraxesperpendiculartoeachother.ThemomentofinertiaofthewheelisIandthemomentofinertiaoftheshaftisnegligible.TwoidenticalstringsXandZmadeofsamematerialhave,tensionTXandTZinthem.Theratiooftheirrmsspeeds,,éVrms(helium)ù,ê,úiscloseto:,[9Jan.Ifeachdivision,onthemainscaleisofaunits,determinetheleastcountof,theinstrument.,a,a,2a,2a,(a),(b),(c),(d),N+1,N-1,N-1,N+1,,(a)mg,5.,,(b)mg/2,,(c)mg/3,,(d)2mg,,Forthedeterminationofthefocallengthofaconvexmirror,,aconvexlensisrequiredbecause,(a)itisnotpossibletoobtaintheimageproducedbya,convexmirroronthescreen,(b)aconvexlenshashighresolvingpowersoithelpsto,measurethefocallengthcorrectly,(c)aconvexmirroralwaysformsarealimagewhichis,diminishedbytheconvexlens,(d)noneofthesePage519:MT-10,6.,,MockTest-2,,Aparticlemovesalongx-axiswithinitialpositionx=0.Intheabsenceofshuntresistance,the,galvanometerproducesadeflectionofq=9divisionswhen,currentflowsinthecircuit.Workdoneinincreasingthesizeofasoapbubblefroma,radiusof3cmto5cmisnearly(Surfacetensionofsoap,solution=0.03Nm–1),[2011],(a)0.2pmJ(b)2pmJ(c)0.4pmJ,(d)4pmJ,,(b)2pr2T,,A,,B,,A,,B,,A,,B,,A,,B,,(a),,(b),,(c),,(d),,71.04,2020(I)],(a)lvisible<lmicrowaves<lradiowaves<lX-rays,(b)lradiowaves>lmicrowaves>lvisible>lx-rays,(c)lx-rays<lmicrowaves<lradiowaves<lvisible,(d)lvisible>lx-rays>lradiowaves>lmicrowaves,48.Ashortbarmagnetisplacedinthemagneticmeridian,oftheearthwithnorthpolepointingnorth.Assumingairtobeadiatomicidealgasmadeup,ofrigidmolecules,thechangeinitsinternalenergyduring,thisprocesscomesouttobeXkJ.Thetorqueneeded,tomaintaintheneedleinthispositionwillbe,[2003],3,(d)2W,W,2,13.(a)Power,P=I2R,4.4=4×10–6×R,ÞR=1.1×106W,Whensupplyof11visconnected,,\i=,,or,R=,,Req=,,2202,=16W,25,,e2,e2,=,Req2R,Inparallelcondition,Req=R/2.,,86.,,b,,b,,82.,,æ22022202ö,ç25+100÷,è,ø,,´,,Newpower,P¢=,,l,,ÞI=,,2202,,Powerconsumed,P=,,b,,81.,,220,R1+R2,,Similarly,P2=i2R2=4W,85.03,2020(I)],(a),,4,5,,(b),,3,5,,(c),,3,4,,(d),,7,8,,31.2019II],1PoVo,5PoVo,3PoVo,1PoVo,(b),(c),(d),2R,4R,4R,4R,22.Thesafelimitofcurrentthroughthediodeis10mA.,Ifabatteryofemf1.5Visusedinthecircuit,thevalueof,minimumresistancetobeconnectedinserieswiththe,diodesothatthecurrentdoesnotexceedthesafelimitis:,[Sep.ThecurrentIdrawnfromthe5voltsourcewillbe[2006],,10W,5W,,10W,,I,,20W,,10W,+–,,48.,,5volt,,5W,,6W,,(a)0.71Afrompositivetonegativeterminal,(b)0.42Afrompositivetonegativeterminal,(c)0.21Afrompositivetonegativeterminal,(d)0.36Afromnegativetopositiveterminal,49.AtpointAtheballbecomesair,borneleavingatanangleof30°withthehorizontal.[2006],4,5,4,4,5,(a),(b),(c),(d),8,5,7,4,Thecircuithastwooppositivelyconnectedidealdiodes,inparallel.2019II],I,Q,P,6,I3,,(a)1V,(b)2V,(c)3V,(d)6V,58.Themagnitudeand,directionofthemagneticfieldsetupinthisregionsuch,thattheelectronkeepsmovingalongthexdirectionwill,be:,[Sep.Theheightatwhichtheaccelerationduetogravity,,GravitationalFieldand,PotentialEnergy,,TOPIC4,,26.Buthefindstheaeroplanerightvertically,abovehisposition.Itisfoundthatifaneutronsuffersanelasticcollinear,collisionwithdeuteriumatrest,fractionallossofitsenergy,ispd;whileforitssimilarcollisionwithcarbonnucleusat,rest,fractionallossofenergyisPc.ThevaluesofPdand,Pcarerespectively:,[2018],(a),,(×89,×28)(b)(×28,×89)(c),,(0,0),,(d)(0,1),,79.Nowthe,cellisshortcircuitedbyaresistanceR.2019II],,(d),36.,,b2,ac,,v,,f,v,f,,(a),,u,f,Thedistancebetweenanobjectandascreenis100cm.ThelengthAJatwhichthegalvanometeras,showninfig.Whatwillbe,lengthoftheaircolumnabovemercuryinthetubenow?,(Atmosphericpressure=76cmofHg),[2014],(a)16cm,(b)22cm(c)38cm,(d)6cm,31.TheratiooftheweightsofabodyontheEarth’ssurfaceto,thatonthesurfaceofaplanetis9:4.If,the25Wand100WbulbsdrawpowersP1andP2,respectively,then:,[12Jan.(d)Forparamagneticmaterial.Theinitialtemperatureofwater,andvesselis30°C.Thesupplyvoltagetoroomis120V.Itsmagnetic,susceptibilityis:,[11Jan.FromthepositionwhenthebeamAhasmaximum,intensity(andbeamBhaszerointensity),arotationof,polaroidthrough30°makesthetwobeamsappearequally,bright.2019II],,x,,(a),,(a)1:2,(b)1:4,(c)1:3,(d)1:5,107.(b)Measuredlengthofrod=3.50cm,ForVernierScalewith1MainScaleDivision=1mm,9MainScaleDivision=10VernierScaleDivision,,Leastcount=1MSD–1VSD=0.1mm,66.Choosethecorrectstatement.,[OnlineApril8,2017],,(a)Modulationindex=5,sidefrequencybandsareat,1400kHzand1000kHz,(b)Modulationindex=5,sidefrequencybandsareat,21.2kHzand18.8kHz,(c)Modulationindex=0.8,sidefrequencybandsareat,1180kHzand1220kHz,(d)Modulationindex=0.2,sidefrequencybandsareat,1220kHzand1180kHz,22.Thepowerfactorofthecircuitwillbe,[2005],(a)0.4,(b)0.8,(c)0.125,(d)1.25,,(c)2mF,,(d)1mF,,58.Equalvolumesoftwoimmiscibleliquids,whose,densitiesarer1andr1(r1>r2)fillhalfthecircle.2019II],(a)1cm,(b)2cm,(c)4.0cm,(d)3.1cm,51.Inanexperimenttheanglesarerequiredtobemeasured,usinganinstrument,29divisionsofthemainscaleexactly,coincidewiththe30divisionsofthevernierscale.Afoodpacketis,droppedfromthehelicopterwhenitisataheighth.Thelower,triangularportionisfilledwithadielectricofdielectric,constantK,asshowninthefigure.Theangleqis:,[2017],(a)60°,(b)90°,(c)30°,(d)45°,Fourclosedsurfacesandcorrespondingchargedistributionsareshownbelow.,[OnlineApril9,2017],,5q,,q,,2q,,q,,S1,,8q,–2q,–4q,,–q,q,,q,,q,,S3,,S2,,Q,b,,(c),64.,,(,,2,,pa-b,,Q,2pa2,,2,,),,(b),,(d),,(a)pa2E,,S4,,a,,2Q,,45°,,2Q,pa2,,(,,®,E,,3q,,Lettherespectiveelectricfluxesthroughthesurfacesbe,F1,F2,F3,andF4.TheanglebetweenB,uur,andvzero,soforceontheparticleiszero.,(c),Workdone,W=2m·B,=2×10–2×1cos(0.125),=0.02J,(c)Potentialenergyofdipole,,U=–pEcosq,Torqueexperiencedbydipole,t=pEsinq,Torquewillbemaximum(tmax)whenq=90°thenpotential,energyU=0,(b)Weknowthat,magneticdipolemoment,M=NiAcosθi.e.,Mµcosθ,Whentwomagneticfieldsareinclinedatanangleof75°,theequilibriumwillbeat30°,so,1,cosθ<cos(75°,30°)<cos45°vA,(b)vA=vB,(c)vA>vB,(d)theirvelocitiesdependontheirmasses.,,(d)Page32:P-23,,MotioninaStraightLine,,Þ16u2=2as2,8u2,Þs2=,a,Dividing(i)and(ii),,,29.,,...(ii),,s1u2a,1,=,×2=,s22a8u,16,(a)Accordingtoquestion,trainAandBarerunningon,paralleltracksintheoppositedirection.,,1.8km/h,,36km/h,A,,B,,v,,R(Observer),Distance,PQ=vp×t(Distance=speed×time),Distance,QR=V.t,,PQ,QR,,120,=24second.,5,34(d)Let'S'bethedistancebetweentwoends'a'bethe,constantacceleration,Asweknowv2–u2=2aS,,vc2=u2+aS,vc2=u2+,,v2-u2,2,,u2+v2,2,35.Theupperendof,thewireisfixedtoarigidsupportandamassMis,suspendedfromitslowerend.If,theresistanceoftheloopisRthentheheatgeneratedin,theloopafteralongtime(t®¥)is;,[OnlineApril10,2016],(a),,p2r4B04,2tR,,(b),,p2r4B02,2tR,,(c),,p2r4B02R,t,,(d),,p2r4B02,tRPage359:P-350,,Physics,,18.Ifafreely,n,fallingobjectweretoacquirespeed,afterbeingdropped,10,fromheightH,thenneglectingenergylossesandtakingg,=10ms–2,thevalueofHiscloseto:,[OnlineApril10,2015],(a)0.05km,(b)0.02km,(c)0.03km,(d)0.04km,50.(a)Theradioactivesubstancesemita-particles(Helium,nucleus),b-particles(electrons)andneutrinoes.(b)Inthegivenquestion,,Currentflowingthroughthewire,I=1A,Speedoftheframe,v=10ms–1,Sideofsquareloop,l=10cm,Distanceofsquareframefromcurrentcarryingwires,x=10cm.,Wehavetofind,e.m.finducede=?,AccordingtoBiot-Savart’slaw,mIdlsinq,B=0,4px2,=,,4p´10-71´10-1,´,2,4p,10-1,,(),,=10–6,Inducede.m.f.e=Blv,=10–6×10–1×10=1mv,40.Theinducedcurrentintheloop,asafunction,ofseparationr,betweentheconnectorandthestraight,wireis:,[Sep.Aparticleofmass20gisreleasedwithaninitialvelocity,5m/salongthecurvefromthepointA,asshowninthe,figure.Whatisthewavelengthof,theradiationemittedwhentheelectroninthisionjumps,fromthesecondexcitedstatetothegroundstate?,[9Jan.Itis,observedthatthevelocityofthesatellitewhenitisfarthest,fromtheplanetis6timeslessthanthatwhenitisclosest,totheplanet.Ifthe,jointsoftherodareat70ºCand20ºCinsteadystateand,thereisnolossofenergyfromthesurfaceoftherod,,thecorrectrelationshipbetweenK1,K2andK3is:,[Sep.(d)AccordingtoEinstein'sphotoelectricequation,Kmax=hv-f0,ÞeVs=,,hc,-f0,l,,hcf0,lee,wherel=wavelengthofincidentlight,ÞVs=,,f0=workfunction,Vs=stoppingpotential,Comparingtheaboveequationwithy=mx+c,weget,,d,q,2dsinq=l=,Þ2´10-10´,,q,,hc,e,Increasingthefrequencyofincidentradiationhasnoeffect,onworkfunctionandfrequency.Twobodiesofthesamemassaremovingwiththesame,speed,butindifferentdirectionsinaplane.WhatisFfriction,atpointP?The,wavelengthoflightis600nm.Ifthelineardimensionof,eachsideoftheframeisincreasedbyafactorof3,keeping,thenumberofturnsofthecoilperunitlengthoftheframe,thesame,thentheselfinductanceofthecoil:,[11Jan.Ifthetensiongeneratedintherod,duetorotationisT(x)atadistancexfromtheaxis,then,whichofthefollowinggraphsdepictsitmostclosely?,[12Apr.2019II],,(c)Zero,,9.,,(b)a,(d),,2m,,q,,B,,12.(d)using,MBsinq=FlSinq(t),,28.Aparticleofmass2kgisonasmoothhorizontaltable,andmovesinacircularpathofradius0.6m.TheelectricfieldEatx=4mmisgivenby[2007],(a)(10/9)volt/mmandinthe+vexdirection,(b)(5/3)volt/mmandinthe–vexdirection,(c)(5/3)volt/mmandinthe+vexdirection,(d)(10/9)volt/mmandinthe–vexdirection,29.Theminimumforcerequiredtostartpushingabodyup,rough(frictionalcoefficientm)inclinedplaneisF1while,theminimumforceneededtopreventitfromslidingdown,isF2.Atthestartingpointofthemotor,cyclethereisastationaryelectricsiren.Whenacertainphotosensistivesurfaceisilluminatedwith,monochromaticlightoffrequencyv,thestoppingpotential,forthephotocurrentis–V0/2.Theratioofintensitiesofbrightanddark,partsoftheresultantpatternis:[OnlineApril11,2014],16,4,7,49,(a),(b),(c),(d),3,1,1,9,nidenticalwaveseachofintensityI0interferewitheach,other.Thevalueofq,,Cpö,æ,is:çg=,[2015],÷,Cvø,è,3g+5,3g-5,g+1,g-1,(a),(b),(c),(d),6,6,2,2,33.Threecapacitorseachof4mFaretobeconnectedinsuch,awaythattheeffectivecapacitanceis6mF.AslenderuniformrodofmassMandlengthlispivoted,atoneendsothatitcanrotateinaverticalplane(see,figure).Takethebubblestobespheres,ofradiusRandmakingacircularcontactofradiusrwith,thebottomofthevessel.TheelectronisdetectedatthepointQonascreenPage322:P-313,,MovingChargesandMagnetism,,placed8cmawayfromthepointS.Ifspeedoflightinmaterialoflensis,2×108m/s,thefocallengthofthelensis,[2013],(a)15cm(b)20cm(c)30cm(d)10cm,Theimageofanilluminatedsquareisobtainedonascreen,withthehelpofaconverginglens.Ifcentreof,BC,is,AB,[OnlineApril10,2016],,massofwireliesverticallybelowpointA,then,closeto:,A,,æ3a3bö,(a)ç,÷,è44ø,,æ5a5bö,(b)ç,÷,è33ø,,æ2a2bö,(c)ç,÷,è33ø,,5a5b,(d)æç,ö÷,12,12ø,è,,60°,(a),(c),,B,1.85,1.37,,C,(b)1.5,(d)3Page87:P-78,,Physics,,14.Thedipoleattains,stableequilibriumatanangleof30°withthisfield.IfitsmassisM,radiusofitstop,Randheight,H,,thenitsmomentofinertiaaboutitsaxisis:,[Sep.Twofixedfrictionlessinclinedplanesmakinganangle30°,and60°withtheverticalareshowninthefigure.Inacircuitforfindingtheresistanceofagalvanometerby,halfdeflectionmethod,a6Vbatteryandahighresistance,of11kWareused.Asmallsphericaldropletofdensitydisfloatingexactly,halfimmersedinaliquidofdensityrandsurfacetension,T.Theresistanceoftheseriescombinationoftworesistances,isS.Equationofpathofelectroninthe,regionx>dis:,[Sep.Whenthetemperature,ofsinkisreducedby62°C,itsefficiencyisdoubled.,Temperaturesofsourceandsinkare,(a)99°C,37°C,,(b)124°C,62°C,,(c)37°C,99°C,,(d)62°C,124°CPage511:MT-2,6.,,MockTest-1,,x(m),,TwoisothermalsareshowninfigureattemperaturesT1,andT2.Asshowninthefigure,themagneticlinesofforce,aredirectedfromsouthtonorthinsideabarmagnet.,Outsidethebarmagnetmagneticfieldlinesdirectedfrom,northtosouthpole.,,\Torque,t=MBsinq=MBsin60°=3,,19.Ifthereisavertical,magneticfield‘B’intheregion,thee.m.f.inducedacross,theendsoftherodis,[2013],,®,,B,,l,R,,(a),(c),,mgRcosq,B2l2,mgRtanq,,(a),,q,,(b),,mgRsinq,B2l2,mgRcotq,,(d),B2l2,B2l2,38.05,2020(I)],,Q,,R,,33.Thedensityofthegasis8kg/m3.=,,122,TotalenergyinS.H.M=maw,2,GivenK.E.=75%T.E.,1,751,ma2w2cos2wt=,´ma2w2,2,1002,p,2,Þ0.75=coswtÞwt=,6,p,p´2,1,Þt=,Þt=,Þt=s,6´w,6´2p,6,32.UnpolarizedlightofintensityIisincidentonasystemof,twopolarizers,AfollowedbyB.Theamplitudeofasimplependulum,oscillatinginairwith,asmallsphericalbob,decreasesfrom10cmto8cmin40,seconds.Its,maximumangularspeedisw.Whatisthepotentialatapointonthesphere,whoseradiusvectormakesanangleof60°withthedirection,ofthefield?,[OnlineApril8,2017],(a)589.5V(b)589.2V(c)589.4V(d)589.6V,15.Asshownin,thefigure,itisastraightline.,[10Apr.2020(II)],(a)gdS(x22+x12),,(b)gdS(x2+x1)2,,3,1,gdS(x2-x1)2,gdS(x2-x1)2,(d),4,4,Aleakproofcylinderoflength1m,madeofametalwhich,hasverylowcoefficientofexpansionisfloatingvertically,inwaterat0°Csuchthatitsheightabovethewatersurface,is20cm.Thisimplies,momentumofeachparticleiszero,thuslinearmomentum,ofthesystemofparticlehastobezero.,Alsoiflinearmomentumofthesystemiszeroitdoesnot,meanlinearmomentumofeachparticleiszero.A),=(d)e=dt,dt,d,=-N(BAcoswt)=NBAwsinwt,dt,Þemax=NBAw,(a)PhasedifferenceforR–Lcircuitliesbetween,æpö,ç0,÷but0orp/2,è2ø,(b)Given,Resistanceofcircuit,R=12W,Imedanceofcircuit,Z=15W,R,124,=,==0.8,Powerfactor=cosf=,Z,155,(a)Currentininductorcircuitisgivenby,,,(,,C=,,R,-t,eL,,R,,53.,,L,300´10-3,´0.69,log2=,R,2,Þt=0.1sec.,57.6ms-2ona,frictionlesssurface,thenwhatisthetension(inN)in,thestringbetweentheblocksBandC?,[2002],C,,(a)5m/s2,(b)9.8m/s2,(c)0.2m/s2,(d)4.8m/s2,29.Thetemperature,shouldberaisedby:,[2017],,3a,(b)3PKa,PK,P,P,(c),(d),3aK,aK,10.Thedisplacementoftheparticle,varieswithtimeas,[2006],2,1/2,3,(a)t,(b)t,(c)t,(d)t,,12345,time,(s),,8.,,9.,,Thedistancexcoveredbyaparticleinonedimensional,motionvarieswithtimetasx2=at2+2bt+c.TwoparticlesAandBofequalmassMaremovingwith,thesamespeedvasshowninthefigure.(d),,v,,=,,mv2,=qvBsin90º,r,Bqr,mv,Þ,=BqÞv=,r,m,Timetocompleteonerevolution,,2pr2pm,=,T=,v,qB,,×,,+,,+q,,Lengthofthecircularpath,l=2pr,q,qv,=,T2pr,MagneticmomentM=Current×Area,,Current,i=,,=i´pr2=,M=,,qv,´pr2,2pr,,1,q×v×r,2,,Radiusofcircularpathinmagneticfield,r=,,mv,qB,,1,mv,mv2,qv´,ÞM=,2,qB,2B,r,r,DirectionofMisoppositeofBtherefore,r,r-mv2B,M=,2B2,(BymultiplyingbothnumeratoranddenominatorbyB).,\M=Page345:P-336,,Physics,,or,Totalforce,Ftotal,,=,,m0Ia2,2d2,,=,,m0Ia2,2(d2+a2),,[Qd>>a],,a2,ClearlyFtotalµ2,d,80.,,(a)Magneticmoment,m=IA=,,qv,(pr2),2pr,,qrw2,1,(pr)=qr2w,2pr,2,(c)Magneticmomentofcurrentcarryingrectangularloop,ofareaAisgivenbyM=NIA,magneticmomentofcurrentcarryingcoilisavectorand,itsdirectionisgivenbyrighthandthumbrule,for,r,rectangularloop,Batcentreduetocurrentinloopand,r,Marealwaysparallel.,,or,m=,,81.,,B,M,,B,M,Ä,Inwards,,e,Outwards,,82.,83.,84.,,85.,,Hence,(c)correspondstostableequilibrium.,rr,(c)F1=F2=0,becauseofactionandreactionpair,rr,(a)ForstableequilibriumM||B,r,r,ForunstableequilibriumM||(–B),(a)I1I2=Positive,(attract)F=Negative,I1I2=Negative,(repell)F=Positive,Hence,option(a)isthecorrectanswer.,(c)Forsmallarclength,2Tsinq=BIR2q,(AsF=BILandL=RZq),T=BIR,Q,,P,T,,86.,,2,,2,,0,,0,,2,,-3,-0.2x,dx,=9´10òe,,l=3m,,0,,9´10,0.2,,P,Q,Alsogiven;lengthofwireQ,=25cm=0.25m,ForceonwireQduetowireR,FQR=10–7´,,[-e-0.2´2+1],,R,,2´20´10,´0.25,0.05,,=20×10–5N(Towardsleft),ForceonwireQduetowireP,FQP=10–7×,,2´30´10,´0.25,0.03,,=50×10–5N(Towardsright),Hence,Fnet=FQP–FQR,=50×10–5N–20×10–5N,=3×10–4Ntowardsright,88.Ift1andt2arethevaluesofthetime,takenbyittohitthetargetintwopossibleways,the,productt1t2is:,[12April2019I],(a)R/4g(b)R/g,(c)R/2g,(d)2R/g,Twoparticlesareprojectedfromthesamepointwiththe,samespeedusuchthattheyhavethesamerangeR,but,differentmaximumheights,h1andh2.Diamagneticsubstancesdonothavemagnetic,dipolebutinthepresenceofexternalmagneticfielddueto,theirorbitalmotionofelectronsthesesubstancesare,repelled.Supposet1isthetimetakenfortheenergy,storedinthecapacitortoreducetohalfitsinitialvalueand,t2isthetimetakenforthechargetoreducetoone-fourth,itsinitialvalue.Thenetchangeinits,lengthiszero.Statement-1:Twoparticlesmovinginthesamedirection,donotlosealltheirenergyinacompletelyinelastic,collision.,Statement-2:Principleofconservationofmomentum,holdstrueforallkindsofcollisions.,[2010],(a)Statement-1istrue,Statement-2istrue;Statement,-2isthecorrectexplanationofStatement-1.,(b)Statement-1istrue,Statement-2istrue;Statement-2,isnotthecorrectexplanationofStatement-1,(c)Statement-1isfalse,Statement-2istrue.,(d)Statement-1istrue,Statement-2isfalse.,91.Thevalueofais,[2007],(a)1/4,(b)1/3,(c)1/2,(d)1/6,,(d),,x,,O,,(a)22gC,(c),,2gC,ab,,(b)2gC,(d),,2g,CPage88:P-79,,SystemofParticlesandRotationalMotion,,24.Battery,voltageis6V.The,acceleration‘a’ofthisparticlevarieswithxas–,v,,8.,,AringofmassMandradiusRliesinx-yplanewithits,centreatoriginasshown.02,2020(I)],(a)15,(b)13,(c)20,(d)11,Anidealgasinaclosedcontainerisslowlyheated.Aninsulatingthinrodoflengthlhasalinearcharge,x,onit.ThevalueofXtothe,nearestintegeris________.,[NA2Sep.Thecommon,emittercurrentgainbis:,[10Apr.Aparallelplatecapacitorofcapacitance90pFisconnected,toabatteryofemf20V.Ablockofmass10kgiskeptonaroughinclinedplaneas,showninthefigure.Themassessticktothe,L,L,baraftercollisionatadistance,and,respectively,3,6,fromthecentreofthebar.The,possiblewavelengths(inm)ofthewavesare:,[Sep.Ablockofmass5kgis(i)pushedincase(A)and(ii)pulled,incase(B),byaforceF=20N,makinganangleof30owith,thehorizontal,asshowninthefigures.Inthisprocessthe,temperatureofthegasisincreasedbyDT.Tillfrictionbecomeslimiting,theywill,bemovingtogether.Statement-1:Whenultravioletlightisincidentona,photocell,itsstoppingpotentialisV0andthemaximum,kineticenergyofthephotoelectronsisKmax.Whenthe,ultravioletlightisreplacedbyX-rays,bothV0andKmax,increase.,Statement-2:Photoelectronsareemittedwithspeeds,rangingfromzerotoamaximumvaluebecauseofthe,rangeoffrequenciespresentintheincidentlight.TheinductancebetweenAandDis,,(a)3.66H,(c)0.66H,,TOPIC3,,3H,,3H,,3H,,[2002],,D,,(b)9H,(d)1H,,TransformersandLC,Oscillations,,62.Thespacing,betweenunitcellsinvariousdirectionsiscalledits,latticeconstants.Theworkdonebythe,engineis,[2003],(a)4.2×106J,(b)8.4×106J,(c)16.8×106J,(d)zero,Whichstatementisincorrect?,[2002],(a)Allreversiblecycleshavesameefficiency,(b)Reversiblecyclehasmoreefficiencythanan,irreversibleone,(c)Carnotcycleisareversibleone,(d)Carnotcyclehasthemaximumefficiencyinallcycles,EvenCarnotenginecannotgive100%efficiencybecause,wecannot,[2002],(a)preventradiation,(b)findidealsources,(c)reachabsolutezerotemperature,(d)eliminatefriction,,(a),,77.,,78.,,79.(c),,Ifu1andu2arethedensitiesoftwowires,then,4,,d1,d,u1æd2ö,14,=(4)Þ1=2:1,=ç÷Þ,d2,d2,u2èd1ø,,F,,23.(c)Workdone=increaseinsurfacearea×surfacetension,ÞW=2T4p[(52)–(3)2]×10–4,=2×0.03×4p[25–9]×10–4J,=0.4p×10–3J=0.4pmJ,69.Whenahorizontalforceisappliedontherope,atsomepoint,theropedeviatedatanangleof45°atthe,roofpoint.Iftwoplanemirrorsarekeptat60°toeachother,thenthe,numberofimagesformedbythemis,[2002],(a)5,(b)6,(c)7,(d)8,,RefractionofLightatPlane,TOPIC2SurfaceandTotalInternal,Reflection,,(c),,12.Theresistanceofwholewireis:,[8Jan.Thecapacitoristhenconnectedtoanideal,inductorofselfinductance0.5mH.The,è,2ø,powerconsumptioninthecircuitisgivenby,[2007],EI,(a)P=2E0I0,(b)P=00,2,,E0I0,(d)P=,2,InauniformmagneticfieldofinductionBawireinthe,formofasemicircleofradiusrrotatesaboutthediameter,ofthecirclewithanangularfrequencyw.03,2020(I)],,r,,l,,a,b,,r,æbö,lnç÷,2plèaø,2ræbö,r,b,(c)R=lnæçö÷,(d)R=,lnç÷,plèaø,plèaø,81.Theearth'smagneticfieldoverDelhiis5×,10–5Twiththedeclinationangle~0°anddipofqsuch,2,.Astudentmeasuringthediameterofapencilofcircular,cross-sectionwiththehelpofavernierscalerecordsthe,followingfourreadings5.50mm,5.55mm,5.45mm,,5.65mm,Theaverageofthesefourreadingis5.5375mm,andthestandarddeviationofthedatais0.07395mm.ConsiderasphericalshellofradiusRattemperatureT.Itisobservedthat,Cp–Cv=aforhydrogengas,Cp–Cv=bfornitrogengas,Thecorrectrelationbetweenaandbis:,[2017],(a)a=14b,(b)a=28b,,Agasmixtureconsistsof3molesofoxygenand5moles,ofargonattemperatureT.Twobeadsof,massmandnegligiblesizeareatthecenteroftherod,initially.Asatelliteismovingwithaconstantspeedvincircular,orbitaroundtheearth.Thedifferencebetween(f1–f11)is(in,Nm2/C)_______.,[9Jan2020,II],z,A(0,0,2),(0,2,2),,54.,,y,,D,,B,,(3,0,2),,C,,(3,2,2),E,F,x,(0,0,0),(3,0,0),H,G,(0,2,0),(3,2,0),,InfindingtheelectricfieldusingGausslawtheformula,r,q,|E|=encisapplicable.LetQisthetemperatureofhotend.,Theheatflowrateisgivenby,,mWCW,ml,,dQkA(q1-q),=,dt,x,,39.TotaldivisionsontheVernierscaleis30andmatch,with29divisionsofthemainscale.Agalvanometerofresistance100Whas50divisionson,itsscaleandhassensitivityof20µA/division.06,2020(II)],(a),,1,2,,g,y0,,(b),,g,2y0,,(d),,g,y0,,2g,y0,37.Modelatorchbatteryoflengthltobemadeupofathin,cylindricalbarofradius‘a’andaconcentricthincylindrical,shellofradius‘b’filledinbetweenwithanelectrolyteofresistivity,r(seefigure).Inthecircuitshown,chargeonthe5mFcapacitoris:,[Sep.Theresistanceofthegalvanometeris,then,,5,givenby[Neglecttheinternalresistanceofbattery]:,[12Jan2019,I],,becomes,,(d),100.Themutual,inductanceofthepairofcoilsdependsupon,[2003],(a)theratesatwhichcurrentsarechanginginthetwo,coils,(b)relativepositionandorientationofthetwocoils,(c)thematerialsofthewiresofthecoils,(d)thecurrentsinthetwocoils,51.ThecurrentthroughR3is:,[OnlineApril22,2013],,D1,,34.,,(b),,R,Y,(d)G,B,,(c),,I,,O,,I,,(d),,R1,,t,,36.Thequantityoffluxthroughtheloop,ABCDEFA(inWb)is_________.Thetotallengthofasonometerwirebetweenfixedendsis,110cm.Connecting,BandCbymoistfingers,Atothepositiveleadofan,ammeter,andCtothenegativeleadoftheammeter,one,findslargedeflection.Time(T),velocity(C)andangularmomentum(h)are,chosenasfundamentalquantitiesinsteadofmass,length,andtime.Whichofthefollowingcannotbeemittedbyradioactive,substancesduringtheirdecay?,[2003],(a)Protons,(b)Neutrinoes,(c)Heliumnuclei,(d)Electrons,59.Watercomingout,frombothholesstrikesthegroundatthesamepointS.(b)Thevelocityofatransversewaveinastretchedwire,isgivenby,v=,,T,mv2,´lÞT=,m,I,T,Againfrom,Y=DL/L0,A,,Using,v=,,T,m,,25.Ablockofmassm,lyingonasmoothhorizontalsurface,,isattachedtoaspring(ofnegligiblemass)ofspring,constantk.Theimpulse,att=0sandt=4isgivenrespectivelyas:,,11.,,12.,,13.,,4,,t(s),,(a)0,0,,(b)0,–3kgms–1,,(c)+3kgms–1,0,,(d)+3kgms–1,–3kg.Ifgistheaccelerationdueto,gravityonthesurfaceoftheearth,theorbitalspeedofthe,satelliteis,[2004],(a),,70.,,Physics,,gR2,R+x,,(b),,gR,R-x,,(c)gx,,ægR2ö1/2,(d)ç,÷,èR+xø,,Theescapevelocityforabodyprojectedvertically,upwardsfromthesurfaceofearthis11km/s.03,2020(II)],(a)cosq=,(c)cosq=,,2g,,(b)cosq=,,3lw2,g,lw,,(d)cosq=,,2,,g,2lw2,3g,2lw2,,41.,,A,,25,,50,,75,2m,,a,2,,æRö,(b)Mgç,÷-1,èR-aø,,a,a2,(d)Mg1-2,R,R,43.(c),,Physics,,Poisson’sratio,s=,,lateralstrain(b),,longitudinalstrain(a),,Formateriallikecopper,s=0.33,And,Y=3k(1–2s),,913,Also,,=+,Ykh,,1,´stress´strain,2,Weknowthat,,Y=,,stress,strain,,1,stress1S2,´stress´,=×,2,Y,2Y,30.CorrectsetuptoverifyOhm’slawis:,[OnlineApril23,2013],A,V,,(a),,(b),,A,,V,,A,,(c),V,,V,,(d),APage292:P-283,,CurrentElectricity,,20.A50Wresistanceisconnectedtoabatteryof5V.Theratiooftheirvolumesis:,[3Sep.Aplanetinadistantsolarsystemis10timesmoremassive,thantheearthanditsradiusis10timessmaller.(b)Inanammeter,,ig=i0,,=,,G,,2=ig(R1+R2+G),,RA,RA+G,,andforvoltmeter,,V=ig(G+RV)=Gi0,Onsolvingaboveequations,weget,RARV=G2,RAæigö,=ç,and,÷,RVèi0-igø,,2,,101.(a)Covalentbondsareformedbysharingofelectrons,withdifferentcompounds.Anotherparticleis,movingalongthey-axiswithitscoordinateasafunctionof,timegivenbyy(t)=5–8t3.04,2020(II)],(a)7.5MeV,(b)9.0MeV,(c)8.0MeV,(d)8.5MeV,,Inareactor,2kgof92U235fuelisfullyusedupin30days.,Theenergyreleasedperfissionis200MeV.Atwhat,distancefromthislensanobjectbeplacedinordertohave,arealimageofsizeoftheobject,[2004],(a)60cm(b)30cm(c)20cm(d)80cm,,TOPIC4PrismandDispersionofLight,71.Athinglass(refractiveindex1.5)lenshasopticalpowerof,–5Dinair.Aproton(massm)acceleratedbyapotentialdifferenceV,fliesthroughauniformtransversemagneticfieldB.AsolidsphereofradiusRcarriesachargeQ+qdistributed,uniformalyoveritsvolume.Theworkdoneinmoving100,electronsfromPtoQis:,[2009],(a)9.60×10–17J,(b)–2.24×10–16J,(c)2.24×10–16J,(d)–9.60×10–17J,44.(d)Inductance=,,m0N2A,L,,29.04,2020(II)],(a)2/3,(b)1/4,(c)1/8,(d)1/2,,E,,a,,G,,(b),,20,J,3,,81.(a)Wavelengthofincidentlight,l=400nmhc=1240,eV.nm,K.E=1.68eV,UsingEinstein’sphotoelectricequation,hc,-W=K.E,l,,ÞW=,,hc,-K.E,l,,1240,-1.68,400,=3.1–1.68,,ÞW=,,=1.41eV,60.Inanelectronmicroscope,theresolutionthatcanbe,achievedisoftheorderofthewavelengthofelectrons,used.Iftheratiooftheirenergy,storedperunitvolumeis1:4,theratiooftheirdiameters,is:,[9Jan2020II],(a),,b,,2:1,,26.,,(b)1:2,,(c)2:1,(d)1:2,23.Iftherefractiveindexof,4,waterisandthefishis12cmbelowthesurface,the,3,radiusofthiscircleincmis,[2005],(a),,36,7,,(b),,367,,(c),,45,,(d)365,,31.06,2020(II)],(a),,(a),,73.,,2m0I2a2,pb,,(b),,m0I2a2b,,2m0I2a2b,p(a2+b2),,m0I2a2,2p(a+b),2pb,Asquareloopofside2a,andcarryingcurrentI,iskeptin,XZplanewithitscentreatorigin.Ifthepercentageerrorsinthemeasurementofthecurrent,andthevoltagedifferenceare3%each,thenerrorinthe,valueofresistanceofthewireis,[2012],(a)6%,(b)zero,(c)1%,(d)3%,70.Aparticlemovessuchthatitspositionvectorr(t)=cos,,h2,h1,A,,60°,,45°,d,,(a)1.464d,11.,,B2.464dC,(b)0.732d,,(c)0.464d,(d)d,Startingfromtheoriginattimet=0,withinitialvelocity,,5ˆjms–1,aparticlemovesinthex–yplanewithaconstant,accelerationof(10iˆ+4ˆj)ms–2.Forpositionof,nodes,coskx=0,2p,p,.x=(2n+1),Þ,l,2,2n+1)l,(,Þx=,,n=0,1,2,3,...........,4,59.The,groundlevelhasenergy,E1=–8eV.(a)Herea=,3,43,pR,M,Now,,=33,M¢,a,,ml2,),12,,3gcosa,l,,mR2ml2,+,4,12,é,m,l2ù,I=êR2+ú,4ë,3û,,Fromequation(i),,,43,pR,3,=3,=,p.,3,2,æ2ö,R÷,ç,è3ø,,M¢=,,a,,2M,3p,,Momentofinertiaofthecubeaboutthegivenaxis,,I=,,M¢a2,6,2,,2Mæ2ö,´ç,R÷,2,3pè3ø=4MR,=,93p,6,112.y,1,0,0,,01,10,,1,0,,0,0,,1,0,,1,1,,11,,0,,1,,0,,1,,A,0,0,1,1,,B,,B(y'=A+B)y''=(A+y')y'''=(A+y'')y=y''+y''',0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,,i.e.,,,z=a.b,1,,a,,b,,(a+b),,c,,Y=(a+b).c,,0,,0,,0,,0,,0,,0,,1,,1,,1,,1,,1,,0,,1,,1,,1,,1,,1,,1,,0,,0,,OutputofORgatemustbe1andc=1,So,a=1,b=0ora=0,b=1.,84.Page369:P-360,,51.Thentherelativeerrorinthedetermination,ofitsvolumeis,[OnlineApril15,2018],2,2,3,a(b),a,a,(c),(d)a,3,3,2,Inascrewgauge,5completerotationsofthescrewcause,ittomovealineardistanceof0.25cm.Thenewforceof,repulsionbetweenBandCis,[2004],(a)F/8,(b)3F/4(c)F/4,(d)3F/8,Threecharges–q1,+q2and–q3areplaceasshowninthe,figure.Inanother10sitwilldecrease,toatimesitsoriginalmagnitude,whereaequals[2013],(a)0.7,,(b)0.81,,(c)0.729,,(d)0.6,,81.Twochargedthininfiniteplanesheetsofuniformsurface,,(c)F=,,chargedensitys+ands–,where|s+|>|s–|,intersect,atrightangle.TworadioactivematerialsAandBhavedecayconstants,10landl,respectively.(c)A,,A.B,,Y=(A.AnL-shapedobject,madeofthinrodsofuniformmass,density,issuspendedwithastringasshowninfigure.Whatshouldbetheslitseparationdintermsof,wavelengthlsuchthatthefirstminimaoccursdirectly,infrontoftheslit(S1)?,[10Jan2019II],S1,Source,,P,,st,,1minima,,d,S2,Screen,,2d,,(a),,2l,(m-1),,(b),,l,2(m-1),,(a),,(c),,l,(m-1),,(d),,l,(2m-1),,(c),,2,,(,(,,l,5-2,l,,25-2,,),,(b),,),,(d),,(,,l,5-2,l,,),,(5-2)Page427:P-418,,29.,,30.,,31.,,Physics,,InaYoung'sdoubleslitexperiment,theslitsareplaced,0.320mmapart.Aspringofspringconstant5×103N/misstretchedinitially,by5cmfromtheunstretchedposition.AnotherchargeQisplacedatthecentreoftheshell.,R,2,[2003],,TheelectrostaticpotentialatapointP,adistance,fromthecentreoftheshellis,2Q,(a)4peR,o,,2Q,2q,(b)4peR-4peR,o,o,,2Q,q,(c)4peR+4peR,o,o,,(q+Q)2,(d)4peR,oPage266:P-257,,ElectrostaticPotentialandCapacitance,,ElectricPotentialEnergyand,TOPIC2WorkDoneinCarryinga,Charge,31.OnthisYscale,atemperatureof340K,wouldbereadas:(waterfreezesat273Kandboilsat373K),[OnlineApril9,2013],(a)–73.7°Y,(b)–233.7°Y,(c)–86.3°Y,(d)–106.3°Y,AwoodenwheelofradiusRismadeoftwosemicircular,part(seefigure).Thecompositewireisstretchedbyacertainload,whichstretchesthecopperwireby1mm.Anobservercanseethroughasmallholeonthesideofa,jar(radius15cm)atapointatheightof15cmfromthe,bottom(seefigure).Hence,itisnotinSHM.,18.Iftheenergy,changeduringthechargeredistributionis,,X,Jthenvalue,100,,ofXtothenearestintegeris________.,[NASep.Theyare,placedasshownwithaliquidofrefractiveindex3between,them.Ofthe,fourchoicesgivenaftertheStatements,choosetheone,thatbestdescribesintotwoStatements.,Statement-I:Highertherange,greateristheresistanceof,ammeter.,Statement-II:Toincreasetherangeofammeter,additional,shuntneedstobeusedacrossit.,[2013],(a)Statement-Iistrue,Statement-IIistrue,Statement-II,isthecorrectexplanationofStatement-I.,(b)Statement-Iistrue,Statement-IIistrue,Statement-II,isnotthecorrectexplanationofStatement-I.,,R3,,(a)107W(b)137W(c)107/2W(d)77W,119.Alongsolenoidhas200turnspercmandcarriesacurrent,i.Nuclei,,Topic1:CompositionandSizeoftheNuclei,Topic2:Mass-EnergyEquivalenceandNuclearReactions,Topic3:Radioactivity,,,28.Of,thefourchoicesgivenafterthestatements,choosethe,onethatbestdescribesthetwostatements.,Statement-1:ForachargedparticlemovingfrompointP,topointQ,thenetworkdonebyanelectrostaticfieldon,theparticleisindependentofthepathconnectingpointP,topointQ.,Statement-2:Thenetworkdonebyaconservativeforce,onanobjectmovingalongaclosedloopiszero.Thedisplacementoftheoscillator,willbeproportionalto,[2004],1,1,(a),(b)m(w2-w2),2,2,m(w0+w),0,m,m,(c),2,2,(d),2,2,w0-w,(w0+w)Page217:P-208,,1.,,Physics,,(a)Here,vx=–awsinwt,vy=awcoswtandvz=aw,Þv=v2x+v2y+vz2,Þv=,,2.,,(–awsinwt)+(awcoswt),2,,2,,+(aw),,5.,,120°,,y2,,2xy,+2cosd=sin2d,2,AB,A,B,x=Asin(at+d),y=Bsin(bt+r),3.,,60°,,ClearlyA¹Bhenceellipse.,(b)MaximumvelocityinSHM,vmax=aw,MaximumaccelerationinSHM,Amax=aw2,whereaandwaremaximumamplitudeandangular,frequency.,A,Giventhat,max=10,vmax,i.e.,w=10s–1,Displacementisgivenby,x=asin(wt+p/4),att=0,x=5,5=asinp/4,,p,rad.,3,Iftheycrosseachotherattimetthen,,Anglecoveredtomeetq=60°=,,tcriticalangle(C),andsinq³sinC,sinq³,,1,=sinr2,m,,N1,N2,,Qr1,,r2,,P,,1,wmg,,4,mw,sinq³,Þsinq³3,3,mg,2,8,\sinq³.,9,80.AchargeQisuniformlydistributedoverthesurfaceof,non-conductingdiscofradiusR.DistanceAB=2a,Oisthe,midpointofthedipoleandOPisperpendiculartoAB.,AchargeQisplacedatPwhereOP=yandy>>2a.ACarnotengineoperatingbetweentemperaturesT1andT2,hasefficiency,increasesto,,75.,,76.,,1,.2019II],,10.25%loosesallofits,momentumand25%comesbackwiththesamespeed.Thehalf-lifeofaradioactiveelementAisthesameasthe,mean-lifeofanotherradioactiveelementB.Themomentofinertiaofauniformcylinderoflengthland,radiusRaboutitsperpendicularbisectorisI.2019II],(a)5.755mm,(b)5.950mm,(c)5.725mm,(d)5.740mm,Thedensityofamaterialintheshapeofacubeis,determinedbymeasuringthreesidesofthecubeandits,mass.Atapointonthescreenequidistantfrom,theslits,theratiooftheintensitiesbeforeandafterthe,introductionoftheglassplateis:,[OnlineApril25,2013],(a)2:1,(b)1:4,(c)4:1,(d)4:3,ThisquestionhasStatement-1andStatement-2.2019I],,(c),,(a)60µA,(b)170µA,(c)150µA,(d)115µA,28.Aprotonofmassmcollideselasticallywithaparticleof,unknownmassatrest.HysteresisloopsfortwomagneticmaterialsAandBare,givenbelow:,D,,B,,H,(A),,H,(B),,Thesematerialsareusedtomakemagnetsforelecric,generators,transformercoreandelectromagnetcore.,Thenitispropertouse:,[2016],(a)AfortransformersandBforelectricgenerators.,(b)Bforelectromagnetsandtransformers.,(c)Aforelectricgeneratorsandtrasformers.,(d)AforelectromagnetsandBforelectricgenerators.,25.gDenotestheratioofspecificheatatconstant,pressure,tothatatconstantvolume,[2004],(a)35/23,(b)23/15,(c)3/2,(d)4/3,63.2019II],–1,–1,(a)458JkgK,(b)1232Jkg–1K–1,(c)916Jkg–1K–1,(d)654Jkg–1K–1,30.(graphsareschematicandnotdrawntoscale),[2015],E,,KE,,E,PE,,(a),,d,,dependentdisplacementgivenbyx(t)=Asin,,1,9,,(b),,(b),,KE,,PE,,E,,(c),,E,,KE,PE,,(d),d,,PE,KE,,dPage211:P-202,,28.,,29.,,30.,,Apendulumwithtimeperiodof1sislosingenergy.Inanexperiment,asmallsteelballfallsthroughaliquidat,aconstantspeedof10cm/s.Twoelectricbulbsrated25W–220Vand100W–220Vare,connectedinseriestoa440Vsupply.(d)30DivisionsofV.S.coincidewith29divisionsofM.S.,29,\1V.S.D=,MSD,30,L.C.=1MSD–1VSD,29,=1MSDMSD,30,,1,,MSD,30,1,´0.5°=1minute.,=,30,76.(a)Whentherodmakesananglea,l,Displacementofcentreofmass=cosa,2,l,l,mgcosa=Iw2,2,2,l,ml22,mgcosa=,w(QM.I.ofthinuniformrod,2,6,aboutanaxispassingthroughitscentreofmassand,,perpendiculartotherodI=,Þ,,w=,,Speedofend=w´l=3gcosal,i.e.,Speedofend,wµcosa,108.WithR3=107Wthe,deflectionchangedto,,d,.(d)Magneticfieldatadistancerfromthewire,24.Themassofunknownparticle,is:,[OnlineApril15,2018],m,3,,m,(c)2m,(d)m,2,80.2020I],,(a),,1,l,4,,(b),,1,l,8,,(c),,7,l,48,,(d),,3,l,8,,MR2,3,,(b),,MR2,6,,(d),,2MR2,3,,MR2,2,91.If,thewireiscutintotwoequalparts,eachpartcansustain,aweightof,[OnlineMay19,2012],(a)50kg,(b)400kg(c)100kg(d)200kg,18.Howmanytelephonicchannelscanbe,transmittedsimultaneouslyifeachchannelrequiresa,bandwidthof5kHz?,[2018],(a)2×103(b)2×104(c)2×105(d)2×106,16.Theperiodofoscillation,ofasimplependulumontheEarthis2s.Assumingthattheeffectofearth’satmosphere,canbeneglectedtheminimumincreaseinthespeed,requiredsothatthesatellitecouldescapefromthe,gravitationalfieldofearthis:,[11Jan.Theresultingcurrentinthecoilvarieswith,timeasshowninthefigure.Fromthefollowingcombinationsofphysicalconstants,(expressedthroughtheirusualsymbols)theonly,combination,thatwouldhavethesamevalueindifferent,systemsofunits,is:,[OnlineApril12,2014],(a),,(b),,(c),,(d),,ch,2peo2,,e2,2peoGme2,,(me=massofelectron),,moeoG,,c2he2,,2pmoeoh,G,ce2Page12:P-3,,PhysicalWorld,UnitsandMeasurements,,26.Howfarabovethecentreofthetarget?,[OnlineApril11,2014],,Ashellisfiredfromafixedartillerygunwithaninitial,speedusuchthatithitsthetargetonthegroundata,distanceRfromit.Theretardingviscous,forceactingonthesphericalballis,[2004],(a)inverselyproportionaltobothradius‘R’andvelocity‘v’,(b)directlyproportionaltobothradius‘R’andvelocity‘v’,(c)directlyproportionalto‘R’butinverselyproportional,to‘v’,(d)inverselyproportionalto‘R’butdirectlyproportional,tovelocity‘v’,,(c),,(c),,a,t,v,,(d),,a,t,,43.Anucleusdisintegratedintotwonuclearpartswhichhave,theirvelocitiesintheratioof2:1.Termodynamics,,P-169–P-185,,Topic1:FirstLawofTermodynamics,Topic2:SpecifcHeatCapacityandTermodynamicalProcesses,Topic3:CarnotEngine,RefrigeratorsandSecondLawofTermodynamics,,,12.2019I],,PlaneMirror,SphericalMirror,TOPIC1,andReflectionofLight,1.,,Whenanobjectiskeptatadistanceof30cmfromaconcave,mirror,theimageisformedatadistanceof10cmfromthe,mirror.Ifthespeedof,soundinairis345m/s,thenthespeedofthecaris:,[Sep.Totheobserverthe,treeappears:,[2016],(a)20timestaller,(b)20timesnearer,(c)10timestaller,(d)10timesnearer,88.2019I],A,,E1(K1+K2+K3)(K2K3+K3K1+K1K2,(b)E=,K1K2K3,2,9K1K2K3,E1,(c)E=(K+K+K)(KK+KK+KK),2,1,2,3,23,31,12,E1(K1+K2+K3)(K2K3+K3K1+K1K2,(d)E=,9K1K2K3,2,,59.Boththecarsstartfrom,restandtravelwithconstantaccelerationa1anda2,respectively.(i)thedifferencebetweenthedistance,travelledbythecarandthescooterin15sand(ii)thetime,atwhichthecarwillcatchupwiththescooterare,,respectively,[OnlineApril15,2018],(a)337.5mand25s,,(b)225.5mand10s,(c)112.5mand22.5s,,ACarB,,45,Velocity(ms–1)®,,10.(d)Given,µ=,3,h=15cm,R=?,FromSnell'slaw,,,Þ,Þ,or,,or,,24.,,(c),,1,sinC==,m,,h,,3,=,2,2,4,R+h,2,2,2,O,16R=9R+9h,7R2=9h2,3,3,R=,h=,´15cm,7,7,Realdepth=5cm+1cm=6cm,,Water,m=1.33,,R,,\(sin90°-r)=,Þcosr=,,5cm,1cm,,5,1,=,+,1.331.5,;3.8+0.7;4.5cm,\Shift=6cm–[email protected],(d)AtpointAbySnell’slaw,sin45°,1,m=,Þsinr=,…(i),sinr,m2,AtpointB,fortotalinternalreflection,,,sini1=,,1,m,,1,m,,1,m,,…(ii),,Nowcosr=1-sin2r=1R,,=,,1,2m2,,2m2-1,,…(iii),,2m2,,Fromeqs(ii)and(iii),1,2m2-1,=,m,2m2,,Squaringbothsidesandthensolving,weget,3,2,26.Theradiusofgyrationofauniformrodoflengthl,about,l,anaxispassingthroughapoint,awayfromthecentre,4,oftherod,andperpendiculartoit,is:[7Jan.(b)Fordownwardmotionv=–gt,Thevelocityoftherubberballincreasesindownward,directionandwegetastraightlinebetweenvandtwitha,negativeslope.,12,Alsoapplyingy-y0=ut+at,2,12,12,Wegety-h=-gtÞy=h-gt,2,2,Thegraphbetweenyandtisaparabolawithy=hatt=0.,Astimeincreasesydecreases.,Forupwardmotion.,Theballsufferelasticcollisionwiththehorizontalelastic,platethereforethedirectionofvelocityisreversedandthe,magnituderemainsthesame.,Herev=u–gtwhereuisthevelocityjustaftercollision.,Astincreases,vdecreases.Afluidisflowingthroughahorizontalpipeofvaryingcrosssection,withspeedvms–1atapointwherethepressureis,P,PPascal.Initiallythegas,isat300Kandoccupiesavolumeof2.4×10–3m3andthe,springisinitsrelaxedstateasshowninfigure.Thevibrationofelectromagneticwave,arerestrictedthroughpolarizationinadirection,perpendiculartowavepropagation.,46.InameterbridgeexperimentSisastandardresistance.2019II],(a)MLT–2,(b)ML2T–1,(c)ML2T–2,(d)ML–1T–2,19.Iftheshellisnowgivenachargeof–4Q,the,newpotentialdifferencebetweenthesametwosurfaces,is:,[8April2019I],(a)–2V,(b)2V,(c)4V,(d),VPage264:P-255,,ElectrostaticPotentialandCapacitance,,8.,,9.,,r,TheelectricfieldinaregionisgivenbyE=(Ax+B)iˆ,,whereEisinNC–1andxisinmetres.Fromascentformulah=,,2scosq,rrg,,Thesurfacetension(s)ofsoapsolutionislessthanwater.,Thereforeheightofcapillaryriseforsoapsolutionshould,belessascomparedtowater.Alargenumberofliquiddropseachofradiusrcoalesce,tofromasingledropofradiusR.Theheatrequiredtoproducethesamechangein,temperature,ataconstantpressureis:,[10April2019II],(a),,2,Q,3,,(b),,5,Q,3,,7,3,Q,Q,(d),5,2,AnHClmoleculehasrotational,translationaland,vibrationalmotions.2019II],R1=15W,R2=10W,R3=20W,R4=5W,R5=25W,,R6=30W,E=15V,,A,,B,,5R,5R,(c),(d)3R,2,3,38.ThevelocitiesatPandQarerespectively,,r,r,viand-2vj.2020I],57.The,depthofthecentreoftheopeningfromthelevelofwater,inthetankiscloseto:,[9Jan.Whenthecurrentchangesfrom+2Ato–2Ain0.05second,,ane.m.f.of8Visinducedinacoil.IfaLaserpulseofwidth60msandpower0.5,kWisusedtheapproximatenumberofphotonsinthe,pulseare:,[TakePlanck’sconstanth=6.62×10–34Js],[OnlineApril9,2017],20,18,(a)10,(b)10,(c)1022,(d)1019,44.Thespeed,ofthewave-motion,inms–1,is,[2003],(a)300,(b)600,(c)1200(d)200,,16.Aparticleisreleasedonaverticalsmoothsemicircular,trackfrompointXsothatOXmakesangleqfromthe,vertical(seefigure).[SpecificHeat,Capacitiesofwaterandmetalare,respectively,4200Jkg–,1K–1and400Jkg–1K–1],[11Jan.Awhistleproducingsoundwavesoffrequencies9500,HZandaboveisapproachingastationarypersonwith,speedvms–1.Soitwillbehavelikeaconducting,wire.,30,´5=10V,VA–VB=,5+10,(d)Currentinloadresistance,,,6,,i1=,,3,,=1.5×10–3A=1.5mA,,So,requiredcurrentI=,I=,,is=,\,,2´103,,6,=0.02,300,,16.Themomentofinertiaandangular,velocityofthefirstdiscare0.1kg-m2and10rads–1,respectivelywhilethoseforthesecondoneare0.2kg-m2,and5rads–1respectively.Then:,[Sep.[8April2019II],(a)305×10–9radian,(b)610×10–9radian,–9,(c)152.5×10radian,(d)457.5×10–9radian,Inadouble-slitexperiment,greenlight(5303Å)fallsona,doubleslithavingaseparationof19.44µmandawidthof,4.05µm.Assumingthat25%ofthemoleculesget,dissociatedcausingachangeinnumberofmoles.2019I],(a)0.3,(b)0.5,(c)0.6,(d)0.4,9.AmassM,attachedtoahorizontalspring,executesS.H.M.,withamplitudeA1.Theerrorinthemeasurementofdensity,is:,[9April2019I],3,(a)0.01kg/m,(b)0.10kg/m3,3,(c)0.013kg/m,(d)0.07kg/m3,Theareaofasquareis5.29cm2.Thepotential,andelectricfieldduetothisdipoleonthey-axisata,distancedare,respectively:(TakeV=0atinfinity),[12April2019I],ur,ur,ur,p,-p,p,,,(a),(b)0,,4pe0d3,4pe0d24pe0d3,ur,ur,ur,p,p,-p,,,(c)0,,(d),4pe0d3,4pe0d24pe0d3,Auniformlychargedringofradius3aandtotalchargeq,isplacedinxy-planecentredatorigin.ValueofNis_______.,[NASep.(c)=1.5%+3(1%)=4.5%,54.AtimedependentforceF=6tactsonaparticleofmass,1kg.Averagedensityoftheearth,[2005],(a)isacomplexfunctionofg,(b)doesnotdependong,(c)isinverselyproportionaltog,(d)isdirectlyproportionaltog,becomes,,d,O,,22.Apulleyofradius2misrotatedaboutitsaxisbyaforce,F=(20t–5t2)newton(wheretismeasuredinseconds),appliedtangentially.CpandCvarespecificheatsatconstantpressureand,constantvolumerespectively.Theresultantfractionallossinthe,kineticenergyofthesystemis:,[Sep.(c)Asvolumeremainsconstant,\Sumofvolumesof2smallerdrops,=Volumeofthebiggerdrop,4,4,2.InadilutegasatpressurePandtemperatureT,themean,timebetweensuccessivecollisionsofamoleculevaries,withTis:,[Sep.Waterisflowingcontinuouslyfromataphavinganinternal,diameter8×10–3m.Theballcomesto,stopatCaftertravellingadistanceLwhichis:,[OnlineApril11,2014],(c),,(c),,(d),,O,O,t,t,56.03,2020(II)],(a)Multimetershowsanequaldeflectioninbothcases,i.e.beforeandafterreversingtheprobesifthechosen,componentisresistor.,(b)MultimetershowsNOdeflectioninbothcasesi.e.,beforeandafterreversingtheprobesifthechosen,componentiscapacitor.,(c)Multimetershowsadeflection,accompaniedbya,splashoflightoutofconnectedandNOdeflection,onreversingtheprobesifthechosencomponentis,LED.,(d)MultimetershowsNOdeflectioninbothcasesi.e.,beforeandafterreversingtheprobesifthechosen,componentismetalwire.,111.Forthistohappen,the,minimumvalueofmis:,[9Jan.Theelectric,fluxthroughthesquaresurfaceis:,[OnlineApril15,2018],,Q,(a)3e,0,,P,a/2,,Q,(b)6e,0,Q,(c)2e,0,,61.,,62.,,a,Q,(d)e,0,ur,Anelectricdipolehasafixeddipolemomentp,which,makesangleqwithrespecttox-axis.A,personlookingonsurfaceACoftheprismwillsee,[OnlineMay26,2012],A,,80.04,2020(I)],R1,10V,Vin,V0,V=0,–10V,,V,(a),,t,V,,V0,,(b),,t,,100W,,V,,V0,,(c),,4V,,t,,(a),V,,time,6V,,V0,,4V,,(b),time,V0,,6V,4V,,(c),time,,(d),4.,,t,,Whenadiodeisforwardbiased,ithasavoltagedropof,0.5V.(b)Totallengthofsonometerwire,l=110cm=1.1m,Lengthofwireisinratio,6:3:2i.e.60cm,30cm,20cm.,Tensioninthewire,T=400N,Massperunitlength,m=0.01kg,Minimumcommonfrequency=?,Asweknow,,f'=,,1T1000,Hz,=,2lm,11,1000,Hz,Similarly,n1=,6,1000,n2=,Hz,3,1000,n3=,Hz,2,Hencecommonfrequency=1000Hz,40.Itisat,thebottomofaglassthathaswaterfilledupto5cm(see,figure).Ift1isthetimetakenforplanettogo,overpathabcandt2forpathtakenovercdathen:,[OnlineApril9,2016],,TOPIC2Newton'sUniversalLawof,Gravitation,5.,,c,,d,,(a)500days,(b)320days,(c)260days,(d)220days,Thetimeperiodofasatelliteofearthis5hours.(c)Asweknow,currentdensity,,j=sE=nevd,s=ne,,Forvoltage,V=8V,,3ö1,æ,Current,I1=ç8-6-÷==0.5mA,2ø2,è,Forvoltage,V=16V,3ö,æ,Current,I2=ç16-6-÷=8.5mA,2ø,è,13.sDt;V=,C,2,104.Athinlensmadeofglass(refractiveindex=1.5)offocal,lengthf=16cmisimmersedinaliquidofrefractiveindex,1.42.(d)Inducedemf,,Df-D(LI),DI,=,=-L,Dt,Dt,Dt,DI,\|e|=L,Dt,[2–(–2)],Þ8=L´,0.05,8´0.05,ÞL=,=0.1H,4,52.Alightspringbalancehangsfromthehookoftheother,lightspringbalanceandablockofmassMkghangsfrom,theformerone.Thereisauniformsphericallysymmetricsurfacecharge,densityatadistanceRofromtheorigin.Acylinderofheight20miscompletelyfilledwithwater.,Thevelocityofeffluxofwater(inms-1)throughasmallhole,onthesidewallofthecylindernearitsbottomis[2002],(a)10,(b)20,(c)25.5,(d)5,(a),,TOPIC3ViscosityandTerminalVelocity,40.Aseriescombinationofn1capacitors,eachofcapacity,C1ischargedbysourceofpotentialdifference4V.Anelectromagneticwaveisrepresentedbytheelectric,ur,fieldE=En$sin[wt+(6y-8z)].Therearetwootherreservoirsattemperature,T2andT3,asshown,withT1>T2>T3>T(4)Thethree,enginesareequallyefficientif:,[10Jan.Thetubeisdippedverticallyinwaterso,thathalfofitisinwater.Consideranidealgasconfinedinanisolatedclosed,chamber.AfullychargedcapacitorCwithinitialchargeq0is,connectedtoacoilofselfinductanceLatt=0.Then,asaconsequence.,[OnlineApril16,2018],(a)Therewillbenochangeinweightanywhereonthe,earth,(b)Weightoftheobject,everywhereontheearth,wild,decrease,(c)Weightoftheobject,everywhereontheearth,will,increase,(d)Exceptatpoles,weightoftheobjectontheearthwill,decrease,,(a)Page124:P-115,,Gravitation,,18.Thedensityof,liquidis1.26×103kgm–3.ElectronsareacceleratedthroughapotentialdifferenceV,andprotonsareacceleratedthroughapotentialdifference,4V.AforceF=80Nisapplied,horizontallytothefreeendofthestring.Whenthe,temperatureofthesinkisreducedby62oC,itsefficiency,isdoubled.(b),78.Hence,N3willberepelled.Thehalflifeofaradioactivesubstanceis20minutes.Astringoflength1mandmass5gisfixedatboth,ends.Asinusoidalvoltageofpeakvalue283Vandangular,frequency320/sisappliedtoaseriesLCRcircuit.Theelectricfieldatadistancer(r<R)fromthe,originisgivenby,[2010],r0ræ5rö,4pr0ræ5rö,(a),ç-÷,(b)3eçè3-R÷ø,4e0è3Rø,0,,r0ræ5rö,r0ræ5rö,ç-÷,(d)3εçè4-÷ø,R,4ε0è4Rø,0,ThisquestioncontainsStatement-1andStatement-2.(d)Theresolvingpowerofanopticalinstrumentis,inverselyproportionaltothewavelengthoflightused.,(R.P)1l25,=,=,(R.P)2l14Page442:25,,P-433,,DualNatureofRadiationandMatter,,DualNatureof,RadiationandMatter,5.,,MatterWaves,Cathode,TOPIC1,andPositiveRays,1.,,2.,,3.,,(a)le>lHe++>lp,,(b)le<lHe++=lp,,(c)le>lp>lHe++,,(d)le<lp<lHe++,,l,.Thepersonnowstarts,movingtowardsthecentreoftheplatform.LetDF1bethedifference,intheforcesexertedbythemoonatthenearestandfarthest,pointsontheearthandDF2bethedifferenceintheforce,exertedbythesunatthenearestandfarthestpointson,theearth.Itsionizationenergy,is:,[9April2019II],(a)48.36eV,(b)54.40eV,(c)13.60eV,(d)6.04eV,Radiationcomingfromtransitionsn=2ton=1of,hydrogenatomsfallonHe+ionsinn=1andn=2states.,Thepossibletransitionofheliumionsastheyabsorb,energyfromtheradiationis:,[8April2019I],(a)n=2®n=3,(b)n=1®n=4,(c)n=2®n=5,(d)n=2®n=4,Ahydrogenatom,initiallyinthegroundstateisexcited,byabsorbingaphotonofwavelength980Å.(c)Connectingcircuitaccordingtoquestion,itisclear,,-50,,1+25´10-6´1´103,=–48.78,70.06,2020(II)],,(c)-,,(a)0.24Å,,(b)0.20Å,,(c)0.34Å,,(d)0.44Å,,7.,,m,movingalongthex-axiswith,2,velocityv0collideselasticallywithanotherparticleBat,,ParticleAofmassmA=,,3,l0,2,,(c)Dl=2l0,4.,,(b)Dl=,,5,l0,2,,(d)Dl=4l0,,Aparticleismoving5timesasfastasanelectron.Aletter'A'isconstructedofauniformwirewithresistance,1.0Wpercm,Thesidesoftheletterare20cmandthecross,pieceinthemiddleis10cmlong.05,2020(I)],r,r,r,r,ThesumoftwoforcesPandQisRsuchthat|R|=,r,r,|P|.Iflightofwavelengthl3isusedthenfindthe,stoppingpotentialforthiscase:[OnlineApril9,2016],,(a),,47.,,(a),,hcé1,1,1ù,-ú,ê+,eël3l2l1û,,(b),,hcé1,1,1ù,-ú,ê+,eël32l2l1û,,(c),,hcé1,1,1ù,-ú,êeël3l2l1û,,I,,(a),,(b),,O,,l,,O,,List-II,(i)Particlenatureof,light,(ii)Discreteenergy,levelsofatom,(iii)Wavenatureof,electron,Structureofatom,,(a)(A)-(ii);(B)-(i);(C)-(iii),(b)(A)-(iv);(B)-(iii);(C)-(ii),(c)(A)-(i);(B)-(iv);(C)-(iii),(d)(A)-(ii);(B)-(iv);(C)-(iii),49.Thespotwouldthenhaveitsminimumsize,(saybmin)when:,[2016],(a)a=lLandbmin=4lL,l2,andbmin=4lL,L,æ2l2ö,l2,andbmin=ç,(c)a=,÷,çL÷,L,è,ø,æ2l2ö,÷,(d)a=llandbmin=çç,÷,èLø,Twostarsare10lightyearsawayfromtheearth.This,colourisreplacedbygreen.,QColourcodefigureforgreenis5,\Newresistance=500W,9.,(a)Clearly,fromgraph,dq,=0att=4s[Sinceqisconstant],Current,I=,dt,10.(a)DU=DQ=mcDT,100,×4184(50–30)»8.4kJ,1000,44.Blocksofmassesm,2m,4mand8marearrangedinalineon,africtionlessfloor.Auniformsolidcylindricalrollerofmass‘m’isbeing,pulledonahorizontalsurfacewithforceFparalleltothe,surfaceandappliedatitscentre.Toseethestarsjustresolved,bythetelescope,theminimumdistancebetweenthem,shouldbe(1lightyear=9.46×1015m)oftheorderof:,[OnlineApril10,2016],8,10,(a)10km(b)10km(c)1011km(d)106km,In

Young'sdoubleslitexperiment,thedistancebetween,slitsandthescreenis1.0mandmonochromaticlightof,600nmisbeingused.Ifwavelengthofredlightis6600Å,,thenwavelengthoffirstmaximumwillbe:,[OnlineApril12,2014],(a)3300Å(b)4400Å(c)5500Å(d)6600Å,AbeamofunpolarisedlightofintensityI0ispassed,throughapolaroidAandthenthroughanotherpolaroidB,whichisorientedsothatitsprincipalplanemakesanangle,of45°relativetothatofA.Theelectrochemicalequivalentofametalis3.35×10–7kg,perCoulomb.awcos(wt),2,b,2,b,,a2,pm0Iob2,wsin(wt)(d),wcos(wt),b,a,AsinusoidalvoltageV(t)=100sin(500t)isappliedacross,apureinductanceofL=0.02H.Howfarhasthe,motorcyclegonewhenthedriverhearsthefrequencyof,thesirenat94%ofitsvaluewhenthemotorcyclewasat,rest?Foranymaterial,thevalueofÎrisalways,greaterthan1.,35.After80minutes,theratioof,decayednumberofAandBnucleiwillbe:,[2016],(a)1:4,(b)5:4,(c)1:16,(d)4:1,42.Whichoneofthefollowingrepresentsthese,correctly?Theycome,toequilibriumwitheachstringmakingangleqfromthe,vertical.Theradiusofearthis6.4×106m.TheequationofstateforagasisgivenbyPV=nRT+aV,,wherenisthenumberofmolesandaisapositiveconstant.,Theinitialtemperatureandpressureofonemoleofthegas,containedinacylinderareToandPorespectively.C2has200,turnsandradiuscurrent20cm.ThisquestioncontainsStatement-1andStatement-2.Thefigureshowsasystemoftwoconcentricspheresof,radiir1andr2arekeptattemperaturesT1andT2,,respectively.Itisobservedthatthetwotangents,drawnfromliquid-glassinterfaces(fromopp.Theresultinglinesof,forceshouldbesketchedasin[OnlineMay26,2012],,(a),,(b),,(c),,(d),,roærr2ö,ç÷,eoçè34R÷ø,,roærr2ö,(d),ç÷,12eoçè34R÷øPage249:P-240,,42.,,Physics,,Athinsemi-circularringofradiusrhasapositivechargeq,ur,distributeduniformlyoverit.Amaterial'B'hastwicethespecificresistanceof'A'.Aboyofmass20kgisstandingona80kgfreetomove,longcart.For,theinputvoltagesshowninthefigure,thevoltage(in,Volts)atpointAis________.,[NA9Jan.Totalinternalreflectiontakesplace,atpointEonthefaceBC.,,(a)55000,(b)66000(c)45000,(d)57000,21.Thedistanceoverwhichthemancanseetheimage,ofthelightsourceinthemirroris:,[12Jan.Thevalueofthecurrentsuppliedbythebattery,wheninonecasebattery’spositiveterminalisconnected,toAandinothercasewhenpositiveterminalofbattery,isconnectedtoBwillrespectivelybe:,[OnlineApril11,2015],,AB,(a)0.4Aand0.2A,(b)0.2Aand0.4A,(c)0.1Aand0.2A,(d)0.2Aand0.1A,28.ThevalueofNis:,4,,(Giventhemassofthehydrogenatomtobe1GeV/c2),Inthelinespectraofhydrogenatom,differencebetween,thelargestandtheshortestwavelengthsoftheLyman,seriesis304Å.Ifawireisstretchedtomakeit0.1%longer,itsresistance,will:,[2011],(a)increaseby0.2%,(b)decreaseby0.2%,(c)decreaseby0.05%,(d)increaseby0.05%,DIRECTIONS:QuestionNo.22and23arebasedonthe,followingparagraph.,Considerablockofconductingmaterialofresistivity‘r’shownin,thefigure.Tistemperatureofthesinkoffirstengine,whichisalsothesourceforthesecondengine.Acubicalblockofside30cmismovingwithvelocity,2ms–1onasmoothhorizontalsurface.Theinputcircuitresistanceis,100Wandtheoutputloadresistanceis10kW.Ofthefour,choicesgivenaftertheStatements,choosetheonethat,bestdescribesthetwoStatements.,Statement1:Aninventorclaimstohaveconstructedan,enginethathasanefficiencyof30%whenoperated,betweentheboilingandfreezingpointsofwater.Hydrogenionandsinglyionizedheliumatomare,accelerated,fromrest,throughthesamepotential,difference.Themagnitudeofitsmomentum,isrecordedas,[2008],(a)17.6kgms–1,(b)17.565kgms–1,(c)17.56kgms–1,(d)17.57kgms–1,77.Thediscrotatesaboutitsaxis,withauniformangularspeedw.Themagneticmomentof,thediscis,[2011RS]Page350:P-341,,MagnetismandMatter,,pR4,(b),sw,2,,4,,(a)pRsw,4,,pR,sw,(d)2pR4sw,4,10.ToknowtheresistanceGofagalvanometerbyhalf,deflectionmethod,abatteryofemfVEandresistanceR,isusedtodeflectthegalvanometerbyangleq.Theforceofinteractionbetweentwoatomsisgivenby,æx2ö,F=abexpççakT÷÷;wherexisthedistance,kisthe,è,ø,BoltzmannconstantandTistemperatureandaandbare,twoconstants.TheelectricfieldsE1(onS1)and,E2(onS2)ontheirsurfacesaresuchthatE1/E2=R1/R2.,ThentheratioV1(onS1)/V2(onS2)oftheelectrostatic,potentialsoneachsphereis:,[8Jan.Thetemperatureattheinterfaceis:,[9April2019II],,q19q2,q2+q1,+,(b),1010,2,q15q2,q2q,+,(d)1+2,(c),6,6,3,3,24.(a)Aftereveryhalf-life,themassofthesubstance,reducestohalfitsinitialvalue.,N,N/2,5years,5years,N0¾¾¾¾,®0¾¾¾¾,®0,2,2,N05yearsN0/4N0,=,¾¾¾¾,®,=,4,2,8,=Page482:28,,P-473,,SemiconductorElectronics:Materials,DevicesandSimpleCircuits,,SemiconductorElectronics:,Materials,Devicesand,SimpleCircuits,1.,,Withincreasingbiasingvoltageofaphotodiode,thephotocurrentmagnitude:,[Sep.(a)TheEarthexertsapullingforceMg.Theblockinturn,exertsareactionforceMgonthespringofspringbalance,S1whichthereforeshowsareadingofMkgf.,Asboththespringsaremassless.Googlebrukerinformasjonskapslerogdataforålevereogopprettholdetjenester,sliksomsporingavtjenesteavbruddogbeskyttelsemotnettsøppel,svindeloguriktigbrukmålebrukerengasjementogstatistikkomnettstedetforåforståhvordantjenestenevårebrukesHvisdusamtykker,brukerviogsåinformasjonskapslerogdataforåforbedrekvalitetenpåtjenestenevåreogutviklenyetjenesterlevereogmåleeffektivitetenavannonservisepersonligtilpassetinnhold,avhengigavinnstillingenedinevisepersonligtilpassedeellergeneriskeannonser,avhengigavinnstillingenedine,påGoogleogpånettetForinnholdogannonsersomikkeerpersonligtilpasset,kandetduser,værepåvirketavblantannetinnholdetduserpå,ogposisjonendin(annonseleveringerbasertpådengenerelleposisjonen).Iftheforce,‘F’betweenthetwowiresistakenas‘positive’whenthe,wiresrepeleachotherand‘negative’whenthewires,attracteachother,thegraphshowingthedependenceof,‘F’,ontheproductI1I2,wouldbe:,[OnlineApril11,2015],F,F,(a),,O,,I1I2,,(b),,O,,85.,,O,I1I2,,(b),,(c)IBR,(d),86.,,(d),,O,,q0,,y,,B,,x,–1.5,,(a)1.57W(b)2.97W(c)14.85W(d)29.7W,87.Iftheheightofthewaterinthetank,remainssteady,thenthisheightis:,[10Jan.Iftheelectrondoes,nothitthesurfaceofthesolenoid,maximumpossiblevalue,ofvis(allsymbolshavetheirstandardmeaning):,,(a),,38.,,[9Jan2020,II],,MagneticFieldLines,,TOPIC2Biot-Savart's,LawandAmpere'sCircuital,34.Foranobjectkeptatadistanceof60cmfromthe,convexlens,thefinalimage,formedbythecombination,is,arealimage,atadistanceof:,[OnlineApril9,2016],,(a)3f,,(b),,3,f,2,,(c)f,,(d)2f,,3ö,æ,59.Arigiddiatomicidealgasundergoesanadiabaticprocess,atroomtemperature.Themovementof'P'is,suchthatitsweepsoutalengths=t3+5,wheresisin,metresandtisinseconds.Nowthecurrentinoneofthemisincreased,totwotimesanditsdirectionisreversed.2019II],(a),,1,2,,(b)1,,1,2,59.2020II],116.Abulletloosesç÷ofitsvelocitypassingthrough,ènø,oneplank.2020(I)],(a)29.5ms–1,(b)28.5ms–1,(c)31.5ms–1q,(d)30.5ms–1,30.Ifthecapacitance,betweenanytwoadjacentplatesis‘C’thentheresultant,capacitanceis,[2005],(a)(n+1)C,(b)(n–1)C,(c)nC,,(d)C,,103.Tokeep,thisneedlehorizontal,theverticalforcethatshouldbe,appliedatoneofitsendsis:,[10Jan.If,theparticlehadakineticenergyof3Jatthebeginning,ofthedisplacement,whatisitskineticenergyattheend,ofthedisplacement?,[10Jan.Ifashunt,ofresistanceSisneededtogethalfdeflectionthenG,R,andSrelatedbytheequation:,[OnlineApril9,2016],(a)S(R+G)=RG,(b)2S(R+G)=RG,(c)2G=S,(d)2S=G,115.Thespecificresistanceandcross-sectionofthe,potentiometerwireare4×10–7ohmmetreand8×10–7m2,,respectively.Twoparticles,ofmassesMand2M,moving,asshown,,withspeedsof10m/sand5m/s,collideelasticallyatthe,origin.If0.05moleofthesamegasat400Kis,addedtoit,thefinalequilibriumtemperature(inK)of,thegasinthevesselwillbecloseto_________.,[NASep.Consideracarmovingonastraightroadwithaspeedof,100m/s.(b)Electricfluxisgivenby,f=B.A,,or,df=100´,,(QB=B0e-t/t),,f=B0pr2e-t/t,,InducedE.m.f.e=,Heat=,,dfB0pr2-t/t,e,=,dt,t2,,¥2,,p2r4B02,e,=,òR2tR,,18.Thelensformsanimageoftheobject.Theangularspeed,(inrad/s)oftherodimmediatelyafterthecollisionwillbe,______________.,[NASep.Theyare,seenthroughatelescopeofobjectivediameter30cm.Awirewhenconnectedto220Vmainssupplyhaspower,dissipationP1.Letln,lgbe,thedeBrogliewavelengthoftheelectroninthenthstate,andthegroundstaterespectively.Walongthepathibfis,[2007],a,f,,i,b,(a)14cal(b)6cal,(c)16cal(d)66cal,AsystemgoesfromAtoBviatwoprocessesIandIIas,showninfigure.Thecompoundcanemit,(i)electrons,(ii)protons,(iii)He2+,(iv)neutrons,Theemissionatinstantcanbe,[2002],(a)i,ii,iii,(b)i,ii,iii,iv,(c)iv,(d)ii,iii,62.WhenanadditionalmassMisadded,toitsbob,thetimeperiodchangestoTM.Thisisdueto:,[2012],(a)developementofaircurrentwhentheplateisplaced,(b)inductionofelectricalchargeontheplate,(c)shieldingofmagneticlinesofforceasaluminiumisa,paramagneticmaterial.,(d)electromagneticinductioninthealuminiumplate,givingrisetoelectromagneticdamping.,24.Alongcylindricalvesselishalffilledwithaliquid.(d)PµT3ÞPT-3=constant,....(i),Butforanadiabaticprocess,thepressuretemperature,relationshipisgivenby,P1-gTg=constant,,ÞPT,,g,1-g,,=constt.,,From(i)and(ii),,....(ii),,g,3,=-3Þg=-3+3gÞg=,1-g,2Page208:13,,P-199,,Oscillations,,Oscillations,TOPIC1,1.,,2.,,3.,,Displacement,Phase,Velocity,andAccelerationinS.H.M.,,5.,,Thepositionco-ordinatesofaparticlemovingina3-D,coordinatesystemisgivenby,[9Jan2019,II],x=acoswt,y=asinwt,andz=awt,Thespeedoftheparticleis:,(a),(c),2aw(b)aw,3aw(d)2aw,Twosimpleharmonicmotions,asshown,areatrightangles.,TheyarecombinedtoformLissajousfigures.,x(t)=Asin(at+d),y(t)=Bsin(bt),Identifythecorrectmatchbelow,[OnlineApril15,2018],p,(a)Parameters:A=B,a=2b;d=;Curve:Circle,2,p,(b)Parameters:A=B,a=b;d=;Curve:Line,2,p,(c)Parameters:A¹B,a=b;d=;Curve:Ellipse,2,(d)Parameters:A¹B,a=b;d=0;Curve:Parabola,Theratioofmaximumaccelerationtomaximumvelocityin,asimpleharmonicmotionis10s–1.(i)&(ii),,WL,W/A,´,Þl=,AY,l/L,ÞElongationisthesame.,,Þ,,Y=,,\,,22.Considertwouniformdiscsofthesamethicknessand,differentradiiR1=RandR2=aRmadeofthesamematerial.,IftheratiooftheirmomentsofinertiaI1andI2,respectively,,abouttheiraxesisI1:I2=1:16thenthevalueofais:,[Sep.Thevariationof,currentinthetwocircuitsfort³0areroughlyshownby,figure(figuresareschematicandnotdrawntoscale):,[OnlineApril10,2015],C,,L,,R,,R,S1,C,,R,,L,,S1,E,E,R,,E,,(a),(b),,(a),,(a)i,,E,R,,(b),(a),,(b)i,(b),t,,t,E,R,,(a),,(b),,(c)i,,E,R,,(b),,(d)i,,(a)Workdonebythebatteryishalfoftheenergy,dissipatedintheresistor,(b)At,t=t,q=CV/2,(c)At,t=2t,q=CV(1–e–2),(d)At,t=2t,q=CV(1–e–1),37.Aheatengineisinvolvedwithexchangeofheatof1915J,,–40J,+125Jand–QJ,duringonecycleachievingan,efficiencyof50.0%.Agalvanometerhavingaresistanceof20Wand30,divisiononbothsideshasfigureofmerit0.005ampere/,division.Thevalueofmis:,2,[8Jan.FollowingfigureshowstwoprocessesAandBforagas.,IfDQAandDQBaretheamountofheatabsorbedbythe,systemintwocases,andDUAandDUBarechangesin,internalenergies,respectively,then:[9April2019I],,(a),,A,,C,,4,p(Pa)3,2,B,,1,1,,2,,3,,4,,5,V(m3),,(a)30J,(b)10J,(c)1J,(d)5J,26.Abeamoflighthastwowavelengthsof4972Åand6216Å,withatotalintensityof3.6×10–3Wm–2equally,distributedamongthetwowavelengths.Thevariationofaccelerationduetogravitygwithdistance,dfromcentreoftheearthisbestrepresentedby(R=,Earth'sradius):,[2017,OnlineMay7,2012],g,g,(a),,(b),,d,R,,O,,R,,g,,g,(c),,(d),,d,,d,O,O,R,19.Inanexperiment,electronsaremadetopassthroughanarrow,slitofwidth‘d’comparabletotheirdeBrogliewavelength.,Theyaredetectedonascreenatadistance‘D’fromtheslit,(seefigure).,,d,,y=0,D,,Whichofthefollowinggraphscanbeexpectedto,representthenumberofelectrons‘N’detectedasa,functionofthedetectorposition‘y’(y=0correspondsto,themiddleoftheslit),[2008],y,,y,,(a)N,,d,,(b)N,,(c)N,,d,,y,,y,,Y,,X,,(c)120°,,80.InaWheatstonebridge(seefig.),ResistancesPandQare,approximatelyequal.(b)Fundamentalfrequencyforfirstresonantlength,v,v,n=,=,(inwinter),4l14´18,Fundamentalfrequencyforsecondresonantlength,3v'3v',(insummer),n'=,=,4l24x,Accordingtoquestions,,v,3v',\,=,4×184×x,v',\x=3´18´,v,v',\x=54ćm,v,v'>vbecausevelocityoflightisgreaterinsummeras,,comparedtowinter(vµT),\x>54cm,47.2020(I)],,37.Ifthe,velocityofsoundinairis340m/s,thefrequencyofthe,hornofthetoycariscloseto:[OnlineApril10,2016],(a)680Hz(b)510Hz(c)340Hz(d)170Hz,Twoenginespasseachothermovinginopposite,directionswithuniformspeedof30m/s.Anenergysourcewillsupplyaconstantcurrentintothe,loadifitsinternalresistanceis,[2005],(a)verylargeascomparedtotheloadresistance,(b)equaltotheresistanceoftheload,(c)non-zerobutlessthantheresistanceoftheload,(d)zero,74.Therefore,circulardiscwillhavetwice,themassofsemicirculardisc.,1,(2m)r2=Mr2,2,LetIbethemomentofinertiaoftheuniformsemicircular,disc,,Momentofinertiaofdisc=,,Mr2,2,124.(d)Inmagneticdipole,1,Forceµ,r4,Inthegivenquestion,,Forceµx–n,Hence,n=4,32.Itis,thendisconnectedfromthesupplyandisconnectedin,seriestoanotheruncharged2.5mFcapacitor.Theelectricpotential,atinfiniteiszero.,[2012],Statement-1Whenachargeqistakenfromthecentre,tothesurfaceofthesphereitspotentialenergychanges,qr,.,by,3e0,Statement-2Theelectricfieldatadistancer(rA).,Ifthemaximumseparationbetweenthemis(X0+A),the,phasedifferencebetweentheirmotionis:,[2011],(a),,(c),,11.,,x,,O,,(d),,a1,,y,,(c),,(d),,[2011],1,,(a),,M+m,M,,(c),,æM+mö2,çè,÷,Mø,,(b),,æMö2,çè,÷,M+mø,,(d),,M,M+m,,1,,iswrittenasa=Acos(wt+d),then,,a2,x,,t,,y,,t,,p,2,,[2007],,A=x0w2,d=3p/4(b)A=x0,d=-p/4,2,,O,,(b),,(d),,æA1ö,,(c)A=x0w2,d=p/4(d)A=x0w,d=-p/4,15.Thesourcethatilluminatesthedouble-slitin'double-slit,interferenceexperiment'emitstwodistinctmonochromatic,wavesofwavelength500nmand600nm,eachofthem,producingitsownpatternonthescreen.(d)Incommonbaseamplifiercircuit,inputandoutput,voltageareinthesamephase.Waterisflowingataspeedof1.5ms–1throughhorizontal,tubeofcross-sectionalarea10–2m2andyouaretryingto,stoptheflowbyyourpalm.Thesurfaceofametalisillumintedwiththelightof400,nm.(c),100.Inameterbridgeexperiment,thecircuitdiagramandthe,correspondingobservationtableareshowninfigure.,[10Apr.Thegravitationalfieldinaregionisgivenby,,(,,),,®,,(a),,2Gm,r,,potentialenergyofaparticleofmass1kgwhenitistaken,fromtheorigintoapoint(7m,–3m)is:,[OnlineApril19,2014],,(c),,2Gmæ,1ö,1÷,rçè,2ø,,g=5N/kgiˆ+12N/kgjˆ.06,2020(II)],(a)0.50,(b)0.41,(c)0.37,(d)0.73,40.Theeyecanberegardedasasinglerefractingsurface.,Theradiusofcurvatureofthissurfaceisequaltothat,ofcornea(7.8mm).Theminimumweightmthat,shouldbeputontopofm2tostopthemotionis:[2018],T,m,m2,(a)18.3kg,m,2,(b)27.3kg,T,,(c)43.3kg,,m1,,(d)10.3kg,,(a)0.4ms–2,(b)3.2ms–2,–2,(c)0.8ms,(d)0ms–2,41.Thefringesobtainedonthe,screenwillbe,[2013],,d,S1S2,,(a),32.,,33.,,s1,,Centralfringe,O,,d,,(Fringewidthb),,s2,D,,(Screen),,Centralfringe,,Screen,D,,(a)points,,(b)straightlines,,(c)semi-circles,,(d)concentriccircles,,35.ThefrequencyofX-rays;g-raysandultravioletraysare,respectivelya,bandcthen,[OnlineMay26,2012],(a)a<b;b>c,(b)a>b;b>c,(c)a<b<c,(d)a=b=cPage396:P-387,,ElectromagneticWaves,,OscillationofBcanbeonlyalongĵork̂direction.,w=2pf=2p×2×1014Hz,ur,\B(x,t)=(9´10–8T)kˆsin[2p(1.5´10–6´–2´104t)],36.,,(c)E0=CB0andC=,Electricenergydensity=,,1,m0e0,1,e0E02=mE,2,,Magneticenergydensity=,,37.,,1Bo2,=mB,2m0,,Thus,mE=mB,Energyisequallydividedbetweenelectricandmagnetic,field.,(b)Wavelengthofmonochromaticgreenlight,=5.5×10–5cm,Power,Area,,IntensityI=,=,,100´(3/100),,=,,3,Wm-2,100p,,4p(5),Now,halfofthisintensity(I)belongstoelectricfieldand,halfofthattomagneticfield,therefore,,I1,=e0E02C,24,,orE0=,,=,,=,,38.,,39.,,2,,2I,e0C,,æ3ö,2´ç,p÷,è100ø,1,æ,ö,´3´108,ç,9÷,è4p´9´10ø,,(,,6,´30=,25,,),,7.2,,\E0=2.68V/m,(c)Given:Amplitudeofelectricfield,,E0=4v/m,Absolutepermitivity,,e0=8.8×10–12c2/N-m2,AverageenergydensityuE=?,Applyingformula,,1,2,AverageenergydensityuE=e0E,4,1,-12,2,ÞuE=´8.8´10´(4),4,=35.2×10–12J/m3,(b)Fromquestion,,B0=20nT=20×10–9T,(QvelocityoflightinvacuumC=3×108ms–1),r,r,r,E0=B0Ć,r,rr,|E0|=|B|×|C|=20´10-9´3´108,=6V/m.,,40.Itisagainequaltog1andadepthdbelowthesur-,,h=,,ædö,faceoftheearth.IndianInstitutesofScienceEducationandResearch(IISER),,Kolkata,6.Thepressure,ofwaterchangesby700Nm–2betweenAandBwherethe,areaofcrosssectionare40cm2and20cm2,respectively.,Findtherateofflowofwaterthroughthetube.,(densityofwater=1000kgm–3),[9Jan.AseriesLRcircuitisconnectedtoanacsourceof,frequencywandtheinductivereactanceisequalto2R.(a)Accordingto,Stokeslaw,,F,F=6phrvÞh=,6prv,[Henry]=,,h=,,[MLT–2],–1,,Þh=[ML-1T-1],,[L][LT],35.Thespeedofeach,particleis:,[2014],GM,R,,(a),,(,,GM,R,,),,(,,(a),,),,GM,1GM,1+22,1+22,(d),R,2R,FromasphereofmassMandradiusR,asmallersphereof,R,radius,iscarvedoutsuchthatthecavitymadeinthe,2,originalsphereisbetweenitscentreandtheperiphery,(Seefigure).Thenvalueofxis,______.,[NASep.Aboutthepointofsuspension:[2014],(a)angularmomentumisconserved.,(b)angularmomentumchangesinmagnitudebutnotin,direction.,(c)angularmomentumchangesindirectionbutnotin,magnitude.,(d)angularmomentumchangesbothindirectionand,magnitude.,59.Theradiusofgyrationofthehollowsphere,aboutanaxisthroughitscentreis[OnlineMay26,2012],(a)3R0/2,(b)3R0/4,(c)9R0/16,(d)3R0Page101:P-92,,Physics,,140.(b)Given,m1=4g,u1=300m/s,m2=0.8kg=800g,u2=0m/s,Fromlawofconservationofmomentum,,m1u1+m2u2=m1v1+m2v2,Letthevelocityofcombinedsystem=vm/s,then,,4×300+800×0=(800+4)×v,1200,=1.49m/s,804,Now,m=0.3(given),a=mg,a=0.3×10,=3m/s2,then,fromv2=u2+2as,(1.49)2=0+2×3×s,,1,3,+,2+3,2,tanq=2,=,11,1,-2,2,2,m1,,X,,v=,,Dividingeqn(i)byeqn(ii),,,81.Distanceofthecentreofmassofasoliduniformcone,fromitsvertexisz0.Asubmarine(A)travellingat18km/hrisbeingchased,alongthelineofitsvelocitybyanothersubmarine(B),travellingat27km/hr.2020II],o,21.Then,r,whichofthefollowingstatementsistrueforthevelocityv,r,(t)andaccelerationa(t)oftheparticle:[8Jan.Thenmaximumaccelerationdown,theplaneisfor(norolling),[2002],(a)solidsphere,(b)hollowsphere,(c)ring,(d)allsame,,MotionofConnectedBodies,,TOPIC2Pulley&Equilibriumof,Forces,20.Twofullturnsofthecircularscaleofascrewgaugecovera,distanceof1mmonitsmainscale.The,magneticfieldatthecentreofthecoilwillbe,[2004],(a)2nB,(b)n2B,(c)nB,(d)2n2B,69.Ifthepotentialdifferenceacrossthe,sourcehavinginternalresistanceR2iszero,then,[2005]Page297:P-288,,(a)R=R2-R1,(b)R=R2´(R1+R2)/(R2-R1),(c)R=R1R2/(R2-R1),(d)R=R1R2/(R1-R2),72.Theenergyreleasedin,theprocessisconvertedintokineticenergyofthebig,dropsoformed.Thetemperatureofthemixture,if100gof,liquidAat100°Cisaddedto50gofliquidBat50°C,will,be:,[11Jan.Thecharge,distributionisinitiallyatrestandstartsexpandingbecause,ofmutualrepulsion.2019I],(a)hl/3G2/3cl/3A–1,(b)h2/3c5/3G1/3A–1,(c)h–2/3e–1/3G4/3A–1,(d)h2G3/2C1/3A–1,2,B,,whereBismagneticfieldandm0,18.2019II],(a)1700nm,(b)2020nm,(c)220nm,(d)250nm,Inaphotoelectricexperiment,thewavelengthofthelight,incidentonametalischangedfrom300nmto400nm.Thecharged,particlesA,CandcentreOofthecircleformedan,equilateraltriangleasshowninfigure.Fortheconfigurationinthefigurewherethe,distancebetweenthecentreoftheoriginalsphereandthe,removedsphereis3R,thegravitationalforcebetweenthe,twosphereis:,[OnlineApril11,2014],,(c),8.,,22,,(b),,12.Thevalueoftis(»isthe,wavelengthofthelightused):,[12April2020I],,[11Jan2019I],(a)0.74,(b)0.85,(c)0.94,(d)0.80,27.Thus,,electricfieldiszeroatmiddleofdepletionregion.2019II],,u,,=,,v,,f,u,,v,f,,(a),,v,,[Sep.Theinnerradiusof,theshellisr.Aparticleofmass10giskeptonthesurfaceofauniform,sphereofmass100kgandradius10cm.2020I],h,h,(a),(b),2(2+1),2,(c),,h,32,,(d),,3,h2,4,,15.02,2020(II)],(a)4.8×10–27kg,(b)9.1×10–31kg,(c)1.2×10–28kg,(d)9.7×10–28kg,,h,|e|Et,,2,,22,,eEt,m2v02,l0,,(c),1+,,8.,,(b),,(d),,l02,1+,,resthavingmassmB=,,(a)Dl=,,|e|Et,,|e|Et,h,,-h,|e|Et2,,r,Anelectron(massm)withinitialvelocityv=v0iˆ+v0ˆjis,r,inanelectricfieldE=-E0kˆ.Awoodenpieceofsamesizeplacedina,museum(obtainedfromatreecutmanyyearsback)shows,2decaysperminute.Thetimeinwhichtheresistance(heat,capacity2J/°C)willgetheatedby10°C.02,2020(I)],(a)2cm,(b)5cm,(c)12cm(d)4cm,Thefigureshowsaregionoflength‘l’withauniform,magneticfieldof0.3Tinitandaprotonenteringtheregion,withvelocity4×105ms–1makinganangle60°withthe,field.Inacommunicationsystemoperatingatwavelength800,nm,onlyonepercentofsourcefrequencyisavailableas,signalbandwidth.(i)Page319:P-310,,Physics,,P,l,=,Q(100-l),Initiallyneutralpositionis60cm.Theraywill:,[OnlineApril9,2013],(a)suffertotalinternalreflectioninbothcases(A)and,(B),(b)suffertotalinternalreflectionincase(B)only,(c)havepartialreflectionandpartialtransmissionincase,(B),(d)have100%transmissionincase(A),Letthex-zplanebetheboundarybetweentwotransparent,media.InaLCRcircuitcapacitanceischangedfromCto2C.Transformercores(T)are,madeofmaterialswithlowretentivityandlowcoercivity.,Þ,,18.Themaximumpowerdeliveredbythe,musclesis:(Takeg=10ms–2)[OnlineApril23,2013],(a)6.26×103Wattsatthestart,(b)6.26×103Wattsattakeoff,(c)6.26×104Wattsatthestart,(d)6.26×104Wattsattakeoff,57.Thevalueof|v|and|,u|mustbeequal.,,=,,65.,,P,,ÞfR>fB.,,Whenu=-2f,v=2f,f,Alsov=,f,1+,u,As|u|increases,vdecreasesfor|u|>f.InthegivencircuitallresistancesareofvalueRohmeach.,TheequivalentresistancebetweenAandBis:,[OnlineApril15,2018],,¥,,r,Q,,(a)PandR,(c)QandR,,r,,R,,(b)PandQ,(d)AnytwopointsPage294:P-285,,CurrentElectricity,,42.2019I],(a)12mV,(b)6mV,(c)1mV,(d)2mVPage361:P-352,,Physics,,34.and,Statement-2:Ifthedirectionofafieldduetoapointsource,isradialanditsdependenceonthedistance‘r’fromthe,sourceisgivenas,,1,,,itsfluxthroughaclosedsurface,r2,dependsonlyonthestrengthofthesourceenclosedby,thesurfaceandnotonthesizeorshapeofthesurface.,(a)Statement-1isfalse,Statement-2istrue,(b)Statement-1istrue,Statement-2istrue;Statement-2,isacorrectexplanationforStatement-1,(c)Statement-1istrue,Statement-2istrue;Statement2isnotacorrectexplanationforStatement-1,(d)Statement-1istrue,Statement-2isfalse,,44.(c)As,workdoneiszero.,So,lossinkineticenergy=heatgainbythegas,12,R,mv=nCvDT=n,DT,2,g-1,12mR,mv=,DT,2,Mg-1Page203:P-194,,Physics,,\DT=,22.,,Mv2(g-1),K,2R,,Andg=,n1,,(a)Numberofmolesoffirstgas=N,A,,Butvrms=,,n1+n2+n3,RTmix,NA,,(a)Given,mass=1kg,Density=4kgm–3,,g=,,\,,vO2,vHe,,=,,MO2,,´,,\g=1+,,29,=,77,(D)Triatomicrigidmolecules,f=6,\g=1+,,gRT,M,,MHe,gHe,,1.4,4,´,=0.3237,321.67,vO2,460,\vHe=,=,=1421m/s,0.32370.3237,(d)RMSvelocityofagasmoleculeisgivenby,3RT,M,LetTbethetemperatureatwhichthevelocityofhydrogen,moleculeisequaltothevelocityofoxygenmolecule.,,24,=,63,29.WhenresonanceisproducedinaseriesLCRcircuit,then,whichofthefollowingisnotcorrect?,[OnlineApril25,2013],(a)Currentinthecircuitisinphasewiththeapplied,voltage.,(b)Inductiveandcapacitivereactancesareequal.,(c)IfRisreduced,thevoltageacrosscapacitorwill,increase.,(d)Impedanceofthecircuitismaximum.,39.Thelistenermovesaway,fromS1,keepinghisdistancefromS2fixed.m.f.ofitsstandardcellisEvolt.Whatisthe,ratiol/Rsuchthatthemomentofinertiaisminimum?,[2017],3,3,3,(a)1,(b),(c),(d),2,2,2,109.(c),,Thecapacitancewithairbetweentheplates,e0A,=9pF,d,Onintroducingtwodielectricbetweentheplates,thegiven,capacitanceisequaltotwocapacitancesconnectedin,serieswhere,kÎA3ÎA,C1=10=0,d/3,d/3,3´3Î0A,9Î0A,=,=,d,d,and,3k2Î0A,kÎA,C2=20=,2d/3,2d,3´6Î0A,9Î0A,=,=,2d,d,TheequivalentcapacitanceCeqis,C=,,1,1,1,=,+,CeqC1C2,=,,d,d,2d,+,=,9Î0A9Î0A9Î0A,,9Î0A9,=´9pF=40.5pF,2d,2,101.Reflectingtelescopesarebasedonthesame,principleexceptthattheformationofimagestakesplace,byreflectioninsteadofrefraction.,,1.22l,d,,Eye-Piece,Objective,,=10´,,92.,,93.,,(d)Given:f0=50cm,fe=5cm,d=25cm,u0=–200cm,MagnificationM=?,As,,1,1,1,=,v0u0f0,,Þ,,1,11,1,1,4-1,3,=+,=,=,=,v0f0u050200200200,,v0=,,or,,200,cm,3,,Nowve=d=–25cm,From,,,1,1,1,=,veuefe,,–,,1,11,=uefeve,,=,,11,6,+,=,52525,,-25,cm,6,MagnificationM=M0×Me,,or,,,ve=,,vv,-200/3-25,=0é=,´,u0ue,200,-25/6,,94.,,1,=-´6=-2,3,(a)Given:d=3×10–2m,l=5.5×10–7m,,95.The,rifleisfiredatthecentreofatarget700mawayatthesame,levelasthetarget.(Considerg=10m/s2).,[2006],(a)4N,(b)16N,(c)20N,(d)22N,Aplayercaughtacricketballofmass150gmovingata,rateof20m/s.(d)Accordingtoquestion,modulationfrequency,250,Hzis10%ofcarrierwave,fcarrier=,,250,=2500KHZ,0.1,,\Rangeofsignal2500±250KHz=2250Hzto2750HzFor,2000KHZ,fmod=200Hz,,1,PowerP=mæçö÷,èlø,,V3´10830,=,×1014Hz,=,l8´10-78,,=3.75×1014Hz,1%off=0.0375×1014Hz,=3.75×1012Hz=3.75×106MHz,Asweknow,numberofchannelsaccomodatedfor,transmission=,,hereµ=K,,15.Thetemperatureofairintheroom,will,[OnlineMay26,2012],(a)decrease,(b)increaseinwintersanddecreaseinsummers,(c)remainthesame,(d)increase,70.Inthefollowing'I'referstocurrentandothersymbols,havetheirusualmeaning,Choosetheoptionthat,correspondstothedimensionsofelectricalconductivity:,[OnlineApril9,2016],(a)M–1L–3T3I,(b)M–1L–3T3I2,(c)M–1L3T3I,(d)ML–3T–3I2,23.Thentheelectricflux,throughABCDis,[2002],E,F,,(c),,c,,O,,2pb2-a2,,2,,(p+2)pa2E,,pa2E,,D,,Q,,pa2E,,(b),,H,A,,(a)q/4pÎ0L,(c)q/2pÎ0L,,q,,q,G,B,,L,,(b)zero,(d)q/3pÎ0LPage263:16,,P-254,,Physics,,ElectrostaticPotential,andCapacitance,4.,,ElectrostaticPotentialand,TOPIC1,EquipotentialSurfaces,1.,,Tenchargesareplacedonthecircumferenceofacircleof,radiusRwithconstantangularseparationbetween,successivecharges.05,2020(I)],,1,n,1,,(b),,1,n3,1,,(d)4,n2,n,Theenergyrequiredtoioniseahydrogenlikeioninits,groundstateis9Rydbergs.Ifatt=0there,werenonuclei,thetimewhenthereare50nucleiis:,[OnlineApril11,2014],4,(a)1s,(b)2lnæçö÷s,è3ø,,æ4ö,(d)lnç÷s,è3ø,46.2020I],,84.Achargedparticle(massmandchargeq)movesalongX,axiswithvelocityV0.The,energylossduringthecollisionis,[2008],(a)0.16J(b)1.00J(c)0.67J(d)0.34JPage71:P-62,,Physics,,(a)0.16J(b)1.00J(c)0.67J(d)0.34J,92.LetFbetheforce,ractingonaparticlehavingposition,r,vectorr,andTbethetorqueofthisforceaboutthe,origin.Its,velocityvarieswithx-coordinateasshowningraph.Atransversewavetravelsonatautsteelwirewitha,velocityofvwhentensioninitis2.06´l04N.(a)Case(i),,T,,T,,T,,W,,W,,Stress,F,Strain=,=,Y,AY,,=,,...(i),,Fl,F',l,´,=,´,ÞF¢=9F,ADx3A3Dx,,(c)Breakingforceaareaofcrosssectionofwire,Loadholdbywireisindependentoflengthofthewire.,(a)Given:F=100kN=105N,Y=2×1011Nm–2,l0=1.0m,radiusr=10mm=10–2m,Fromformula,Y=,,F/A,Dx/l,,F'/3A,Dx/(l/3),From(i)and(ii)weget,,,3Mgls,,18.,,l,3,,Y=,,Dls,pr2.y,3a,=ss=2,\Dlb2Mg.lb2bC,prb2.yb,,17.,,Forwire1,Length,L1=l,Area,A1=A,Forwire2,,Area,A2=3A,Asthewiresaremadeofsamematerial,sotheywillhave,sameyoung’smodulus.,Forwire1,,,Fl,Fl,As,y=ADlÞDl=Ay,Dls=,,l/3,Wire(2),,Length,L2=,,ls,r,y,Dls,=a,s=b,s=c,,=?,lb,rb,yb,Dlb,,3mgls,,Y,,…(ii),,Fromeqns(i)and(ii)puttingthevalueofDl,l0andDV,,16.,,3A,,Atequilibrium,T=W,,105,,1,-4,11=628,3.14´10´2´10,,1,´100=0.16%,628,,Young’smodules,Y=,Elongation,l=,,WL,´,AY,,W/A,.....(1),l/L,,WPage146:P-137,,MechanicalPropertiesofSolids,,Case(ii)AtequilibriumT=W,\Young’smoduls,Y=,,Fractionalchangeinvolume,,W/A,l/2,L/2,,Usingeq.Thework,functionofthemetaliscloseto:,[Sep.Whatisthetemperatureofan,objectin°C,ifthisthermometerinthecontactwiththe,objectreadsx0/2?,[11Jan.Then,thetensioninthestringisgivenby,T=Arn,whereAisaconstant,ristheinstantaneous,radiusofthecircle.AnLCRcircuitisequivalenttoadampedpendulum.WhenM1gramoficeat–10C(Specificheat=0.5calg–1oC–1),isaddedtoM2gramofwaterat50oC,finallynoiceis,leftandthewaterisat0oC.(a)Q,,3RT,=11.2´103,M,,or,,or,,14.,,3kT,=11.2´103,m,,3´1.38´10-23T,2´10-3,,V1rms,(a)UsingV,=,2rms,,=11.2´10,,3,,\v=104K,,M2,M1,,Vrms(He),,15.,,MAr,40,=,MHe=4=3.16,Vrms(Ar),(a)EnergyassociatedwithNmolesofdiatomicgas,,5,Ui=NRT,2,Energyassociatedwithnmolesofmonoatomicgas,3,=nRT,2,Totalenergywhennmolesofdiatomicgasconvertedinto,3,5,monoatomic(Uf)=2nRT+(N-n)RT,2,2,,=,,1,5,nRT+NRT,2,2,,Now,changeintotalkineticenergyofthegas,1,DU=Q=nRT,2,1mN2,Vrms,16.Arayoflightisincidentfromadensertoararermedium.,ThecriticalanglefortotalinternalreflectionisqiC,andBrewster’sangleofincidenceisqiB,suchthatsinqiC/,sinqiB=h=1.28.Howmuchtimewillittaketocooldownfrom62°Cto,32°C?,(GivenIn2=0.693,In5=1.609)[OnlineApril11,2014],(a)3.75minutes,(b)8.6minutes,(c)9.6minutes,(d)6.5minutes,63.All,ammetersA1,A2,A3andvoltmeterVareideal.,Choosecorrectstatement.,[OnlineApril8,2017],(a)ReadingofA1is2A(b)ReadingofA1is18A,(c)ReadingofVis9V,(d)ReadingofVis7V,41.WhichofthefourresistancesP,Q,RandSgeneratethe,greatestamountofheatwhenacurrentflowsfromAto,B?,[OnlineApril23,2013],P=2W,,(III),,(a)P1>P2>P3,(b)P1>P3>P2,(c)P2>P1>P3,(d)P3>P2>P1,90.whentheyarejoinedinparallelthetotalresistanceis,P.Auniformwire(Young’smodulus2×1011Nm–2)is,subjectedtolongitudinaltensilestressof5×107Nm–2.Aparticleofmassmandchargeq0=,is,2,placedattheorigin.Ifthe,coefficientoffrictionbetweentheblockandthetableis,0.3,howfarwilltheblockslideapproximately?,[OnlineApril12,2014],(a)0.19m(b)0.379m(c)0.569m(d)0.758m,84.Arectangularloop(abcd)ofsides10cm×5,,Id,Ic,,Y,,83.Asmallparticleofmassmisprojectedatanangleqwith,thex-axiswithaninitialvelocityn0inthex-yplaneas,,nsinq,showninthefigure.WewishtoapplyauniformmagneticfieldBfor,timeDtsothatthechargereversesitsdirectioncrossing,theyaxisatadistanced.Theregionbetweeny=0andy=dcontainsamagnetic,r,fieldB=Bzˆ.IfpartADEisremoved,themomentof,,(c)0,,(d),,inertiaoftheremainingpartaboutthesameaxisis,,NI0,16,,whereNisaninteger.Thebeamfalls,normallyonanareaof1cm2ofacleanmetallicsurface,ofworkfunction2.3eV.If0Volts,correspondstofalseand5Voltscorrespondtotruethen,theoutputatCcorrespondsto:[OnlineApril9,2013],,A,0,0,1,1,,B,0,1,0,1,,Y,0,1,1,0,,A,0,0,1,1,,B,0,1,0,1,,Y,1,1,0,0,,(b),,(d),,A,0,0,1,1,,B,0,1,0,1,,Y,0,0,1,1,,A,0,0,1,1,,B,0,1,0,1,,Y,1,0,1,1,,91.(a)Takingf2=12.07,UsingMirror'sformula,111,=+,f,vu,1,1,1,1,1,1,Þ,=,+Þ,=,12.725.4u,12.725.4u,u=25.4=v',NowusingLen'sformula,111,1,1,1,=-Þ,=,+,fvu,f125.4+13.610,,1,1,1,390,=,+,Þf1=,=7.96,f13910,49,Theclosestanswersis(a)asoption(c)and(d)arenot,possible.,ÞPage418:P-409,,RayOpticsandOpticalInstruments,,58.,,(d)Whenobjectiskeptatadistance‘a’fromthin,covexlens,,æ1,1,1ö,=(aml-1)ç,÷,fa,èR1R2ø,,O,,Þ,,I1v,,Ifm1>m,thenfmandfahaveoppositesignsandthe,natureoflenschangesi.e.aconvexlensdivergesthelight,raysandconcavelensconvergesthelightrays.Whenthe,tuningforksaresoundedagain,6beatspersecondare,heard.Ifstanding,onthesamebutescalatorrunningwithconstantvelocity,hetakes40s.Aspringiscompressedbetweentwoblocksofmassesm1,andm2placedonahorizontalfrictionlesssurfaceasshown,inthefigure.IftheelecteochemicalequivalentofZnandCu,are32.5and31.5respectively,theincreaseinthemassof,thepositiveCupoleinthistimeis,[2003],(a)0.180g(b)0.141g(c)0.126g(d)0.242g,78.(b)Velocityofparticle1,,,Acceleration,a=,,dy1,pö,æ,=0.1´100pcosç100pt+÷,è,dt,3ø,Velocityofparticle2,,v1=,,pp2p-3p,p,=–,=f1-f2=-=,32,6,6,(c)MaximumvelocityduringSHM,Vmax=Aw,Butk=mw2,,\w=,,k,m,,\MaximumvelocityofthebodyinSHM,=A,,k,m,,20.,,(c),,A,,1,22.Wehavetriedandmadeourbest,effortstoprovideaccurateup-to-dateinformationin,thisbook.,,AllRightReserved,,©Copyright,Disha,,Corporate,Office,,DISHAPUBLICATION,,DishaExperts,SanjeevKumarJha,GovindThakur,TypesetbyDishaDTPTeam,,www.dishapublication.com,,www.mylearninggraph.com,,Books&,ebooksfor,School&,Competitive,Exams,,Etests,for,Competitive,Exams,,[email protected]:Contents,PhysicalWorld,UnitsandMeasurements,,P-1–P-13,,,,1.,,Topic1:UnitofPhysicalQuantities,Topic2:DimensionsofPhysicalQuantities,Topic3:ErrorsinMeasurements,MotioninaStraightLine,,P-14–P-25,,,,2.,,Topic1:Distance,Displacement&UniformMotion,Topic2:Non-uniformMotion,Topic3:RelativeVelocity,Topic4:MotionUnderGravity,MotioninaPlane,,P-26–P-35,,,,3.,,Topic1:Vectors,Topic2:MotioninaPlanewithConstantAcceleration,Topic3:ProjectileMotion,Topic4:RelativeVelocityinTwoDimensions&UniformCircularMotion,LawsofMotion,,P-36–P-53,,,,4.,,Topic1:Ist,IInd&IIIrdLawsofMotion,Topic2:MotionofConnectedBodies,Pulley&EquilibriumofForces,Topic3:Friction,Topic4:CircularMotion,BankingofRoad,Work,EnergyandPower,,P-54–P-75,,,,5.,,Topic1:Work,Topic2:Energy,Topic3:Power,6.,,SystemofParticlesandRotationalMotion,,,,Topic4:Collisions,Topic1:CentreofMass,CentreofGravity&PrincipleofMoments,Topic2:AngularDisplacement,VelocityandAcceleration,Topic3:Torque,CoupleandAngularMomentum,Topic4:MomentofInertiaandRotationalK.E.,Topic5:RollingMotion,,P-76–P-112Page5:Gravitation,,P-113–P-130,,,,7.,,Topic1:Kepler’sLawsofPlanetaryMotion,Topic2:Newton’sUniversalLawofGravitation,Topic3:AccelerationduetoGravity,Topic4:GravitationalFieldandPotentialEnergy,Topic5:MotionofSatellites,EscapeSpeedandOrbitalVelocity,MechanicalPropertiesofSolids,,,,8.,,P-131–P-138,,Topic1:Hooke’sLaw&Young’sModulus,Topic2:BulkandRigidityModulusandWorkDoneinStretchingaWire,MechanicalPropertiesofFluids,,,,9.,,P-139–P-154,,Topic1:Pressure,Density,Pascal’sLawandArchimedes’Principle,Topic2:FluidFlow,Reynold’sNumberandBernoulli’sPrinciple,Topic3:ViscosityandTerminalVelocity,Topic4:SurfaceTension,SurfaceEnergyandCapillarity,,,10.(d)BecauseoftheLenz’slawofconservationofenergy.,Lengthofstraigntwire,l=20mEarth’sMagnetifield,,B=0.30×10–4Wb/m2.,,[QA=ldrandB.A=BAcos0°],,m0I,ldr,2pr,,V,,I,r,Emf,e=,,dr,,mIvl,dfm0Ildr,=,×Þe=0×,dt,2prdt,2pr,,Inducecurrentintheloop,i=,,em0Ivl,=,×,R2pRr,,27.Ofthe,fourchoicesgivenaftertheStatements,choosetheone,thatbestdescribesthetwoStatements.,IftwospringsS1andS2offorceconstantsk1andk2,respectively,arestretchedbythesameforce,itisfound,thatmoreworkisdoneonspringS1thanonspringS2.,Statement1:Ifstretchedbythesameamountworkdone,onS1,Statement2:k1<k2,[2012],(a)Statement1isfalse,Statement2istrue.,(b)Statement1istrue,Statement2isfalse.,(c)Statement1istrue,Statement2istrue,Statement2is,thecorrectexplanationforStatement1,(d)Statement1istrue,Statement2istrue,Statement2is,notthecorrectexplanationforStatement1,Aparticleofmassmexecutessimpleharmonicmotionwith,amplitudeaandfrequencyn.Theelectricfieldataninternal,point(r<R)is:,[OnlineApril12,2014],(a),,roærr2ö,ç÷,4eoçè34R÷ø,,roærr2ö,(c),ç÷,3eoçè34R÷ø,,(b),,37.Asits,temperatureincreases,whichofthefollowingstatements,aretrue?,[Sep.Pressureinsidetwosoapbubblesare1.01and1.02,atmosphere,respectively.If,duringthisprocesstherelationofpressurePandvolume,VisgivenbyPVn=constant,thennisgivenby(HereCP,andCVaremolarspecificheatatconstantpressureand,constantvolume,respectively):,[2016],CP-C,C-CV,(a)n=,(b)n=,C-CV,C-CP,C–CP,CP,(c)n=,(d)n=,C–CV,CV,Usingequipartitionofenergy,thespecificheat,(inJkg–1K–1)ofaluminiumatroomtemperaturecan,beestimatedtobe(atomicweightofaluminium=27),[OnlineApril11,2015],(a)410,(b)25,(c)1850,(d)925,Modernvacuumpumpscanevacuateavesseldowntoa,pressureof4.0×10–15atm.TheintensityoflightbeyondBisfoundtobe.Astructuralsteelrodhasaradiusof10mmandlengthof,1.0m.Astudentmeasuredthediameterofawireusingascrew,gaugewiththeleastcount0.001cmandlistedthe,measurements.Thelowestfrequencyofthetransverse,vibrationsinthewireis,(Young’smodulusofwireY=9×1010Nm–2),(tothenearest,integer),___________.,[Sep.(d)Fromthelawofconservationofmomentumweknow,that,,m1u1+m2u2+....Thepotentialatapointx(measuredinmm)duetosome,chargessituatedonthex-axisisgivenbyV(x)=20/(x2–4),volt.Aparticleofmassmismovingalongatrajectorygivenby,x=x0+acosw1t,y=y0+bcosw2t,Thetorque,actingontheparticleabouttheorigin,att=0,is:,[10Apr.Aheavyboxistodraggedalongaroughhorizontalfloor.,Todoso,personApushesitatanangle30°fromthe,horizontalandrequiresaminimumforceFA,whileperson,Bpullstheboxatanangle60°fromthehorizontaland,needsminimumforceFB.The,frequencyoftheunknownforkis,[2002],(a)286cps(b)292cps(c)294cps(d)288cps,x=,,63.,,TOPIC4,,MusicalSoundandDoppler's,Effect,,64.Rateofheatflowthroughcopperrodis:[2014],(a)1.2cal/s,(b)2.4cal/s,(c)4.8cal/s,(d)6.0cal/s,35.AlongsolenoidofradiusRcarriesatime(t)-dependent,currentI(t)=I0t(l–t).Itisfoundthatan,objectanditsimagecoincide,iftheobjectisplacedata,distanceof20cmfromthelens.s.Ablockisplacedonaroughhorizontalplane.Inatransformer,numberofturnsintheprimarycoilare140,andthatinthesecondarycoilare280.Onekgofwater,at20C,isheatedinanelectrickettle,whoseheatingelementhasamean(temperatureaveraged),resistanceof20W.WhenT2isloweredby62Kitsefficiency,6,,1,.2019I],(a)40,(b)16,(c)640,(d)410,AmetalsamplecarryingacurrentalongX-axiswithdensityJxis,subjectedtoamagneticfieldBz(alongz-axis).ThemomentofInertiaofthe,circularplateaboutanaxisperpendiculartotheplateand,passingthroughitsedgeisI=aMR2.Theradius,oftheearthisR,whileitsmassisM.02,2020(II)],(a),,8.,,Physics,,1ˆˆ,(i+j),2,,(b),,1,2,,(ˆj+kˆ),,1ˆˆ,1ˆ,(2i+j),(c),(i+2ˆj),(d),5,5,Theelectricfieldsoftwoplaneelectromagneticplane,wavesinvacuumaregivenby,ur,ur,E1=E0ˆjcos(wt-kx)andE2=E0kˆcos(wt-ky).,,Att=0,aparticleofchargeqisatoriginwithavelocity,r,v=0.8cjˆ(cisthespeedoflightinvacuum).Ifthesidesoftherectangles,areoflengthsaandb,thenthemagnitudeanddirectionof,magneticmomentoftheloopABCDEFAis:,[Sep.Innholdogannonsersomerpersonligtilpasset,inkludererblantannetmerrelevantesøkoganbefalinger,entilpassetYouTube-startsideogannonsersomerskreddersyddtilinteressenedine.Klikkpå«Tilpass»forågjennomgåalternativer,inkludertkontrollerforåavvisebrukenavinformasjonskapslerforpersonligtilpasningoginformasjonomkontrollerpånettlesernivåforåavvisenoenelleralleinformasjonskapslerforandrebruksområder.InanidealgasattemperatureT,theaverageforcethata,moleculeappliesonthewallsofaclosedcontainer,dependsonTasTq.Agoodestimateforqis:,[OnlineApril10,2015],1,(a),(b)2,2,1,(c)1,(d),4,17.Theratioof,numberofneutronstothatofprotonsinthefinalnucleus,willbe,[2010],(a),,A-Z-8,Z-4,,(b),,A-Z-4,Z-8,,A-Z-12,A-Z-4,(d),Z-4,Z-2,54.2020(II)],,(a),,5,R-R,2,,(b),,R,2,,5R-R,3R-R,(d),2,2,14.2019I],(a)65km,,(b)48km,,(c)80km,,(d)40km,,13.Ifitacquiresaspeedvwhenithasfallenthrough,averticalheighty(seefigure),then:(assumetheremaining,portiontobespherical).,[Sep.Resonanceisobservedtooccurattwo,successivelengthsoftheaircolumn,l1=30cmandl2=70,cm.2020II],3,4,,1,3,(d),2,2,68.(b)FromNewton’slawofcooling,,t=,,63.,,æq-q0ö,1,logeç2,÷,k,èq1-q0ø,,64.,,1,(40-30),loge,k,(80-30),,And,t=,,1,(32-30),loge,(62-30),k,,...(1),,Þ,,...(2),,Þ,,Dividingequation(2)by(1),,1,loge,tk,=,51,loge,k,,(a)Accordingtonewton'slawofcooling,dq,=-k(q-q0),dt,,Fromquestionandaboveequation,,5=,,(c)AccordingtoNewton’slawofcooling,the,temperaturegoesondecreasingwithtimenon-linearly.,,(32-30),(62-30),(40-30),(80-30),,Onsolvingweget,timetakentocooldownfrom62°C,to32°C,t=8.6minutes.,,dq,=-kdt,(q-q0),q,,ò,,q0,,t,,dq,=-kòdt,(q-q0),q,,Þ,,log(q-q0)=-kt+c,Whichrepresentsanequationofstraightline.,Thustheoption(a)iscorrect.,65.Themagneticfieldis,[OnlineMay12,2012],,moIéb-aù,4pêëabúû,moI,[2(b-a)+p/3(a+b)],(c),4p,(d)zero,92.Theamplitudedropstohalfits,valueforevery10oscillations.Abodyofmassm1movingwithanunknownvelocityof,v1iˆ,undergoesacollinearcollisionwithabodyofmass,m2movingwithavelocityv2iˆ.2019II],,(a)7.85×10–10C,,(b)6.85×10–10C,,(c)8.85×10–10C,,(d)9.85×10–10CPage270:P-261,,ElectrostaticPotentialandCapacitance,,66.02,2020(II)],Z,E,I,I,F,C,D,Y,O,b,Aa,B,X,,æI1ö,æI2ö,(c)x=çè(I+I)÷ødandx=çè(I-I)÷ød,1,2,1,2,,(d),,x=±,,I1d,(I1-I2),,76.Valueofelectricfield(inv/m)at,x=1mis,Threemolesofanidealmonoatomicgasperformacycle,showninfigure.2020II],30.Whatisthenameoftheparticlex?,[OnlineApril9,2013],(a)electron,(b)a-particle,(c)neutron,(d)neutrino,14.Inthiscasethekinetic,energyofthesystemofparticleswillnotbezero.,\AdoesnotimplyBbutBimpliesA.,Given,force,F=200Nextensionofwire,x=1mm.Ifabethe,angleofdeviationofprotonfrominitialdirectionofmotion,(seefigure),thevalueofsinawillbe:,[OnlineApril10,2015],,B,a,d,Bd,2m,,(a),,qV,,(c),,B,q,d2mV,,(b),,Bqd,2mV,,(d)Bd,,q,2mVPage323:P-314,,Physics,,18.The,massofthebubbleis(g=980cm/s2),[4Sep.(d)MomentofInertia,I=MR2,[I]=[ML2],r,rr,Momentofforce,t=r´F,r,t=[L][MLT-2]=[ML2T-2],34.ThreechargesQ,+qand+qareplacedattheverticesof,aright-angleisoscelestriangleasshownbelow.Iftheendnucleusis,,28.(a)Capacitanceofsphericalconductor=4pE0R,Here,Risradiusofconductor,1,´1=1.1´10-10F,\C=4pÎ0R=,9´109Page290:17,,P-281,,CurrentElectricity,,CurrentElectricity,ElectricCurrent,Driftof,TOPIC1Electrons,Ohm'sLaw,,ResistanceandResistivity,1.,,2.,,AcircuittoverifyOhm’slawusesammeterandvoltmeter,inseriesorparallelconnectedcorrectlytotheresistor.,Inthecircuit:,[Sep.Airofdensity1.2kgm–3isblowingacrossthehorizontal,wingsofanaeroplaneinsuchawaythatitsspeedsabove,andbelowthewingsare150ms–1and100ms–1,,respectively.Athinuniformtubeisbentintoacircleofradiusrinthe,verticalplane.(c)FromDoppler’seffect,frequencyofsoundheard(f1),whensourceisapproaching,c,f1=f0,c–v,Here,c=velocityofsound,v=velocityofsource,Frequencyofsoundheard(f2)whensourceisreceding,,c,c+v,Beatfrequency=f1–f2,1ù,é1,Þ2=f1–f2=f0cê,–,–,c,v,c,+,vúû,ë,2v,=f0c,év2ù,c2ê1–2ú,êëcúû,Forc>>v,c,2c,3501,Þv=,=,=,=m/s,f014004,2f0,f2=f0,,æv-voö,æ1500-5ö,69.The,rateofchangeofde-Brogliewavelengthofthiselectronat,timetignoringrelativisticeffectsis:,[9Jan.TwothinwireringseachhavingaradiusRareplacedata,distancedapartwiththeiraxescoinciding.[2011RS],(a)Statement-1istrue,statement-2isfalse.,(b)Statement-1istrue,statement-2istrue,statement-2is,thecorrectexplanationofstatement-1,(c)Statement-1istrue,statement-2istrue,statement-2is,notthecorrectexplanationofstatement-1,(d)Statement-1isfalse,statement-2istrue.,81.Theparticlewillnowmovewithvelocity[2003]Page47:P-38,,Physics,,C,,r,(a)lessthanv,,A,,(a),,2g,3,,(b),,g,2,,(c),,5g,6,,B,,r,(b)greaterthanv,r,(c)vinthedirectionofthelargestforceBC,(d)vr,remainingunchanged,,19.Theinitialtemperature,ofthesphereis3T0.Whatistheminimum,commonfrequencywithwhichthreepartscanvibrate?,[OnlineApril19,2014]Page231:P-222,,40.,,41.,,42.,,43.,,44.,,45.,,46.,,47.,,(a)1100Hz,(b)1000Hz,(c)166Hz,(d)100Hz,Asonometerwireoflength1.5mismadeofsteel.TheforceF=Fiônaparticleofmass2kg,movingalong,thex-axisisgiveninthefigureasafunctionofitsposition,x.(1),2,Atthehighestpointthevelocityisucos60°(onlythe,horizontalcomponentremains,theverticalcomponent,beingzeroatthetop-mostpoint).For,accurateresultsoneshoulduseR=R0eaDT,,P¢=,,V2,R,,ÞP=,,(110)2,2,,=,,(220)/100,102.Apointobjectinairisinfrontofthecurvedsurfaceofa,plano-convexlens.Thebeat,frequencydecreasesto2beatspersecondwhenthe,tensioninthepianostringisslightlyincreased.2019I],,d,,æ6ö,capacitanceofç÷µF.Thereadinginthevoltmeterwill,becloseto:,[OnlineApril10,2015],,B,G,l1,,A,,(100–l1),,C,,39.5Jwire,,10V,,METERSCALE,,1W,15V,Key,,Battery,,(a)19.15Wand39.5cm,(b)8.16Wand60.5cm,(c)19.15Wand60.5cm,(d)8.16Wand39.5cm,128.Thecircuitshownherehastwobatteriesof8.0Vand16.0,Vandthreeresistors3W,9Wand9Wandacapacitorof,5.0mF.,[OnlineApril12,2014],I,,3W,,5mF,,P2,,5V,2W,,9W,9W,,8.0V,,(a)5.5W,(b)3.5W,(c)4.5W,(d)2.5W,67.(b)Ferromagneticsubstancehasmagneticdomains,whereasparamagneticsubstanceshavemagneticdipoles,whichgetattractedtoamagneticfield.Boththecarsaremovingwithaspeed,of20ms–1withrespecttotheground.IfthebatteryvoltageVBvariesfrom,8Vto16V,whataretheminimumandmaximumvaluesof,thecurrentthroughZenerdiode?,[10Apr.Thevelocityofcertainionsthatpassundeflectedthrough,crossedelectricfieldE=7.7kV/mandmagneticfield,B=0.14Tis,[OnlineMay7,2012],(a)18km/s,(b)77km/s,(c)55km/s,(d)1078km/s,r,25.Whatisthelengthofthepipe?,(Speedofsoundofairis340ms–1),[OnlineApril15,2018],(a)190cm,(b)180cm,(c)220cm,(d)200cm,54.Magneticmaterialsusedformakingpermanentmagnets,(P)andmagnetsinatransformer(T)havedifferent,propertiesofthefollowing,whichpropertybestmatches,forthetypeofmagnetrequired?,[Sep.Thespeedoflightinthemediumis,[2010],(a)minimumontheaxisofthebeam,(b)thesameeverywhereinthebeam,(c)directlyproportionaltotheintensityI,(d)maximumontheaxisofthebeam,16.Forwhat,valueofRnocurrentwillpassthroughthebattery?,[OnlineApril22,2013],,70.,,71.,,Thecurrentinthe10Wresistoris,(a)0.27AP2toP1,(b)0.03AP1toP2,(c)0.03AP2toP1,(d)0.27AP1toP2,Abatteryisusedtochargeaparallelplatecapacitortillthe,potentialdifferencebetweentheplatesbecomesequalto,theelectromotiveforceofthebattery.Thespeedoftheman,withrespecttothesurfaceis:,[12April2019I],(a)0.28ms–1,(b)0.20ms–1,(c)0.47ms–1,(d)0.14ms–1,,(c),,69.Accelerationduetogravity(inms–2)near,thesurfaceonthatplanetis_______.,[NA8Jan.Whenits,potentialEnergy(PE)equalskineticenergy(KE),the,positionoftheparticlewillbe:,[9Jan2019,II],,(c),,K2=,,(a),,A,2,,(b),,A,22,,A,(d)A,2,25.06,2020(I)],40.Theratiooftherespective,wavelengths,l1/l2,ofthephotonsemittedinthisprocess,is:,[12April2019II],(a)20/7,(b)27/5,(c)7/5,(d)9/7,Consideranelectroninahydrogenatom,revolvinginits,secondexcitedstate(havingradius4.65Å).Ifthewavelengthoflightischangedto,400nm,thenumberoffringesobservedinthesame,segmentofthescreenwouldbe:[Sep.Effectivecapacitanceofparallelcombinationoftwo,capacitorsC1andC2is10mF.AnEMwavefromairentersamedium.Photonsofanelectromagneticradiationhasanenergy,11keVeach.Ifonereplaces,theredcolorbygreeninthecode,thenewresistancewill,be:,[8April2019I],(a)100W(b)400W(c)300W,(d)500W,9.Itisfallingthroughaliquidofdensity,r1(r2<r1).Thebalancepointisatalength,l1cmfromPwhentwowaykeyK3ispluggedinbetween2,and1,whilethebalancepointisatalengthl2cmfromPwhen,keyK3ispluggedinbetween3and1.AchargeoftotalamountQisdistributedovertwo,concentrichollowspheresofradiirandR(R>r)suchthat,thesurfacechargedensitiesonthetwospheresareequal.,Theelectricpotentialatthecommoncentreis,[OnlineMay19,2012],,1(R-r)Q,(a),4pe0R2+r2,,26.2019II],5kW,,50V,,120V,,10kW,,(a)9mA,(b)5mA,(c)Zero,(d)14mA,17.Nowone-thirdofthematerialis,replacedbyanothermaterialwithdielectricconstant2K,,sothateffectivelytherearetwocapacitorsonewitharea,,(c)Page273:P-264,,Physics,,1,2,A,dielectricconstant2Kandanotherwitharea,A,3,3,anddielectricconstantK.Theinstantaneouspowerdeliveredtothebody,asafunction,oftime‘t’is,[2004],mv12t,mv1t2,(a),(b),t1,t12,mv1t,mv12t,(c)t,(d),t1,1,,power,,58.Ifthesecondand,fourthminimainthediffractionpatternatadistance1m,fromtheslitareat3cmand6cmrespectivelyfromthe,centralmaximum,whatisthewidthofthecentralmaximum?,(i.e.distancebetweenfirstminimumoneithersideofthe,centralmaximum),[OnlineApril8,2017],(a)1.5cm,(b)3.0cm(c)4.5cm,(d)6.0cm,Theboxofapinholecamera,oflengthL,hasaholeof,radiusa.Itis,thendisconnectedfromthesupplyandisconnected,toanotheruncharged60pFcapacitorinparallel.Twosprings,identicaltotheoriginalspringareattachedinparalleltoan,8kgblockplacedonthesametable.Iftheminimumdivisioninthemeasuringclock,is1s,thenthereportedmeantimeshouldbe:,[2016],(a)92±1.8s,(b)92±3s,(c)92±1.5s,(d)92±5.0s,,(a),,57.,,58.,,59.,,60.,,61.,,62.The,ballstrikesthegroundatB.(Seefigure)Withdbasthesemimajoraxis,andca,asthesemiminoraxis.Theratio1is:,[2018],B2,1,2,AHelmholtzcoilhaspairofloops,eachwithNturnsand,radiusR.Takingunitvectorsin,0,,x,yandzdirectionstobe$i,$j,k$,thedirectionof,propogation$sis:,3$i-4$j,(a)s$=,5,,[12April2019,I],,-4k$+3$j,(b)s$=,5,3$j-3k$,(d)s$=,5,,æ-3$j+4k$ö,(c)s$=ç,÷÷,ç,5,è,ø,14.Twowiresaremadeofthesamematerialandhavethe,samevolume.2019II],,(a),,V–2A2F–2,,V–2A2F2,,(b),,(c),,V–4A–2F,,(d)V–4A2F,,hc5,wherecisspeedof,G,light,GuniversalgravitationalconstantandhisthePlanck’s,constant.Both,rollwithoutslippingallthroughout.Thetwopartsareheldtogetherbyaring,madeofametalstripofcrosssectionalareaSandlength,L.Thepotentialgradientin,thepotentiometerwireis:,[Sep.If,Cv,thegasiscompressedadiabaticallytoone-fourthofits,initialvolume,thefinaltemperaturewillbe,[OnlineMay12,2012],,(a)22T,(c)2T,,60.WhentheswitchS,inthecircuitshown,isclosedthen,thevaluedofcurrentiwillbe:,[9Jan.Young,modulusofthematerialofthewireisY.Ifhalfofthemassoftheblock,breaksoffwhenitispassingthroughitsequilibriumpoint,,theamplitudeofoscillationfortheremainingsystem,becomefA.Ifthebobisinsideliquidallthetime,itsperiodof,oscillationinthisliquidis:,[9April2019I],(a)2T,,1,10,,(b)2T,,1,1,(c)4T,14,15,,(d)4T,,1,14Page212:P-203,,Oscillations,,40.,,Twolightidenticalspringsofspringconstantkareattached,horizontallyatthetwoendsofauniformhorizontalrodABof,lengthlandmassm.Ataninstantt=0aninitialvelocityv0isimpartedto,itandasaresultofthatitstartsmovingalongx-axis.Thetemperatureattheinterfaceofthetwo,sectionis,[2007],T1l1,,K1,,47.,,x,,l2,,T2,,K2,,(a),,(K1l1T1+K2l2T2),(K1l1+K2l2),,(b),,(K2l2T1+K1l1T2),(K1l1+K2l2),,(c),,(K2l1T1+K1l2T2),(K2l1+K1l2),,(d),,(K1l2T1+K2l1T2),(K1l2+K2l1),,(a),(c),,r02R2s,,T,,T4,r,,2,,(b),,4,,(b),,(r2-r1),(r1r2),,(c),,(r2-r1),,(d),,r1r2,(r2-r1),,50.Hiskineticenergycanbeestimatedtobeinthe,range,[2008],5,5,(a)200J-500J,(b)2×10J-3×10J,(c)20,000J-50,000J,(d)2,000J-5,000J,A2kgblockslidesonahorizontalfloorwithaspeedof4m/,s.Foragivengasat1atmpressure,rmsspeedofthe,moleculesis200m/sat127°C.(a)Effectiverefractiveindexoftheionosphere,1/2,,é80.5Nù,neff=n0ê1f2úû,ë,wherefisthefrequencyofemwaves,33.(a)E=,Þl=,,hc,hc,Þl=,l,E,,6.6´10-34´3´108,11´1000´1.6´10-19,,=12.4Å,Increasingorderoffrequency,x-raysu-vraysvisibleInfrared,,wavelengthrangeofvisibleregionis4000Åto7800Å.,56.2019I],,3,,5,,4,3,5,3,58.If,thepersoncanhearfrequenciesuptoamaximumof,10,000HZ,themaximumvalueofvuptowhichhecan,hearwhistleis,[2006],(a)152ms-1,,(b),,15,,ms-1,,2,(c)15,(d)30ms–1,89.(a)Thetimeperiodofachargedparticleofchargeqand,2pm,massmmovinginamagneticfield(B)isT=,qB,Clearlytimeperiodisindependentofspeedoftheparticle.,34.03,2020(I)],,(a),,2,3,,(b),,3,2,(d),2,3,80.(a)Accordingtonewtonthirdlawofmotioni.e.every,actionisassociatedwithequalandoppositereaction.,12.Thedipolewillexperience[2006],(a)atranslationalforceonlyinthedirectionofthefield,(b)atranslationalforceonlyinadirectionnormalto,thedirectionofthefield,(c)atorqueaswellasatranslationalforce,(d)atorqueonly,68.Twostarsofmasses3×1031kgeach,andatdistance,2×1011mrotateinaplaneabouttheircommoncentre,ofmassO.Therodispivotedatitscentre‘O’and,canrotatefrreelyinhorizontalplane.2019II],(a)600K,(b)400K(c)300K,(d)500K,61.After,interchangingtheresistancesXandY,anewbalancepoint,isfoundatadistancel2fromendA.Themagnitudeoftheaverageelectricfieldnormally,presentintheatmospherejustabovethesurfaceofthe,Earthisabout150N/C,directedinwardtowardsthecenter,oftheEarth.Theincreaseinlengthproducedinthewireis,4.0mm.Then,[2003],rr,rr,(a)r.Tr=0andFr.Tr¹0,r,(b)r.T¹0andF.T=0,rr,rr,(c)r.T¹0andF.T¹0,r,rr,r,(d)r.T=0andF.T=0,71.Acurrentloop,havingtwocirculararcsjoinedbytwo,radiallinesisshowninthefigure.Magneticfluxthroughacoilofresistance10Wischanged,byDfin0.1s.Letl,r,candvrepresentinductance,resistance,,capacitanceandvoltage,respectively.(a)Whenliftisstationary,W1=mg...(i),Whentheliftdescendswithacceleration,a,W2=m(g–a),49,(10–5)=24.5N,W2=,10,,34.Subsequently,the,temperatureofthesystemisfoundtobe75°C.Inthatcase,[OnlineMay19,2012],(a)(1–f)w1=fw,(b)w1=w2andindependentoff,(c)fw1=(1–f)w2,(d)w1=w2anddependonf,,Movableroller,,TOPIC3,,36.Aclockwisecurrentissetup,suchthati>mg/Ba,whereaisthewidthoftheloop.,Then:,[OnlineApril23,2013],,R,,IBR,sinq0,,Aconductorliesalongthez-axisat-1.5£z<1.5mand,carriesafixedcurrentof10.0Ain-âzdirection(seefigure).,r,ForafieldB=3.0´10-4e-0.2xaˆyT,findthepowerrequired,tomovetheconductoratconstantspeedtox=2.0m,,y=0min5´10-3s.Anastronautofmassmisworkingonasatelliteorbiting,theearthatadistancehfromtheearth'ssurface.ShipBisatadistanceof80,kmeastand150kmnorthofShipAandissailingtowards,westat10km/hr.(b)Foradiamagneticmaterial,thevalueofµrisslightly,lessthanone.2019II],(a)2m,(b)3.5m,(c)1.5m,(d)4m,74.Onthex-axisandatadistancexfromtheorigin,the,gravitationalfieldduetoamassdistributionisgivenby,,(c),,Ax,2,,(x+a2)3/2,,inthex-direction.Heretisinseconds.,Thetimetakenforitsamplitudeofvibrationtodroptohalf,ofitsinitialvalueiscloseto:,[9Jan2019,II],(a)4s,(b)7s,(c)13s,(d)27s,,78.(b),,Bwl20.2´10-4´5´1,=,=50mV,2,2,,Df(W2-W1),=,Dt,t,,Rtot=(R+4R)W=5RW,i=,,-n(W2-W1),ndf,=,Rtotdt,5Rt,,(QW2&W1aremagneticflux),50.The,maximumvoltage,thatcanbemeasuredusingthis,voltmeter,willbecloseto:,[9April2019I],(a)40V,(b)15V,(c)20V,(d),10V,Amovingcoilgalvanometerhasacoilwith175turnsand,area1cm2.(d)FrequencyofEMwaveu=830KHz,=830×103Hz.,Magneticfield,B=4.82×10–11T,c,Asweknow,frequency,u=,l,,orl=,,c,3´108,=,v830´103,,l;360m,And,E=BC=4.82×10–11×3×108,=0.014N/C,36.Fourchargesequalto-Qareplacedatthefourcornersof,asquareandachargeqisatitscentre.Achargedparticle‘q’isshottowardsanothercharged,particle‘Q’whichisfixed,withaspeed‘v’.Whenitgoesfurthertoadepthofd2,it,experiencesapressureof8.08×106Pa.Thend1–d1is,approximately(densityofwater=103kg/m3andacceleration,duetogravity=10ms–2):,[10April2019(II)],(a)300m,(b)400m(c)600m,(d)500m,4,9.Themagneticfieldinthisregionis,r,B=(3iˆ+4kˆ)T.Togetthreeimagesofasingleobject,oneshouldhave,twoplanemirrorsatanangleof,[2003],(a)60º,(b)90º,(c)120º,(d)30º,11.Ifthe,accelerationofthesystemisg/8,thentheratioofthe,massesis,[2002],(a)8:1,(b)9:7,(c)4:3,(d)5:3,36.WhenforcesF1,F2,F3areactingonaparticleofmassm,suchthatF2andF3aremutuallyperpendicular,thenthe,particleremainsstationary.Itisobservedthatanexternal,compressiveforceF,isappliedoneachofitsends,,preventsanychangeinthelengthoftherod,whenits,temperaturerisesbyDTK.ThearcsBC(radius=b)andDA(radius=,a)ofthelooparejoinedbytwostraightwiresABandCD.(b)Electricflux,f=10t2–50t+250,df,=-(20t-50),Inducedemf,e=dt,et=3=–10V,26.02,2020(I)],(a)2.25,(b)0.44,(c)1.25,(d)1.5,20.(b)Letlbethewavelengthofunknownlight.Muon(m–1)isnegativelycharged(q=e)withamass,mm=200me,wheremeisthemassoftheelectronandeis,theelectroniccharge.Howmany,degreesoffreedomdoeseachmoleculeofthisgashave,(assumegastobeideal)?,[Sep.Thentheratioofintensityat,themaximaandminimaintheinterferencepatternis,[OnlineMay26,2012],(a)3:2,(b)1:25(c)9:4,(d)1:5,Themaximumnumberofpossibleinterferencemaximafor,slitseparationequalto1.8l,wherelisthewavelengthof,lightused,inaYoung’sdoubleslitexperimentis,[OnlineMay12,2012],(a)zero,(b)3,(c)infinite(d)5,InaYoung’sdoubleslitexperimentwithlightofwavelength,l,fringepatternonthescreenhasfringewidthb.Theratioofmaximumintensitiesiftheinterference,is(i)coherentand(ii)incoherentis:,[OnlineApril23,2013],1,1,(c),(d)n,n,n2,ArayoflightofintensityIisincidentonaparallelglass,slabatpointAasshownindiagram.(d)Magneticsusceptibility,,c=,,I,H,,where,I=,,Now,c=,,Magneticmoment20´10–6,=20N/m2,=,Volume,10–6,20,,1,=´10–3=3.3´10–4,60´103,3,,21.(d)|v|,,1,1,1,=,120-40f,,or,,64.,,Straight,line,,1,1,11+3,=,+,=,\f=30cm,f12040120,,(d)Thefocallengthofthelens,111,=fvu,,1,1,+,12240,20+121,=,=,240,240,,111,-=,vuf,,240,cm,21,Whenglassplateisinterposedbetweenlensandfilm,so,shiftproducedwillbe,,æ,1ö,Shift=tç1-÷,èmø,1ö,1,æ,1ç1=1´,è3/2÷ø,3,Nowimageshouldbeformat,,v'=12-1=35cm,33,Nowtheobjectdistanceu.,Usinglensformulaagain,1,11,<,,f,v'u,111,Þ<,,uv'f,13,211é321ù,=,Þ=,u352405êë748úû,,11é48-49ù,Þ=ê,u5ë7´16úû,Þu=–7×16×5=–560cm=–5.6m,(a)FromtheCauchy,BC,Formula,µ=A+2+1,l,l,1,\µµ,l,As,lblue<lred,\lblue>µred,Fromlensmaker'sformula,,Þ,,æ1,1,1ö,=(m-1)ç-÷,f,èR1R2ø,1,1,>,fB,fR,,45°,,Fromlensformula,,f=,,and,,(2f,2f),,|u|,Forthegraphtointersecty=xline.TheelectricpotentialV(x)inaregionaroundtheoriginis,givenbyV(x)=4x2volts.Velocity–timegraphforabodyofmass10kgisshownin,figure.Then,[OnlineMay7,2012],,23.,,x(m),15,,10,B,5,Dt=8,,0,,20.,,24.,,A,Dx=4m,10,,25.,,20t(s),,(a)vA=vB=0.5m/s,(b)vA=0.5m/s<vB,(c)vA=0.5m/s>vB,(d)vA=vB=2m/s,Anobject,movingwithaspeedof6.25m/s,isdecelerated,atarategivenby,,26.,,dv,=-2.5vwherevistheinstantaneousspeed.Thefrequencyofoscillationof,themassisf.Abodyofmassmisfiredfromthe,surfaceofthelargerplanettowardsthesmallerplanetalong,thelinejoiningtheircentres.Ifthecoefficientofvolume,expansionofthesolidisC´10–6/°CthenthevalueofCis,¾¾¾.,[NA7Jan.(g=9.8ms–2),[OnlineApril11,2014],(a)0.1m,(b)0.15m(c)0.20m,(d)0.25m,63.Whichofthefollowingismoreclosetoablackbody?,[2002],(a)blackboardpaint,(b)greenleaves,(c)blackholes,(d)redroses,56.(ii),From(i),R50–R0=50aR0,...TheratioofImaxandIminis:,[OnlineApril9,2013],B,B',,(a)n2,10.,,R,,(b),,A',A,,C,,11.,,12.,,C',,(a)49:1,(b)7:1,(c)4:1,(d)8:1,Twocoherentplanelightwavesofequalamplitudemakes,asmallanglea(<<1)witheachother.Anelectriccurrentispassedthroughacircuitcontaining,twowiresofthesamematerial,connectedinparallel.(c)Resistanceofwire(R)=r,,21.,,R=,,rlrl2,=,(QV=Al),AV,,l2,=constant×l2,V,\Fractionalchangeinresistance,,Hence,R=r,DR,Dl,=2,R,l,,DR,ædlö,=200´ç÷,R,èlø,Qdl/l=0.1%,100´,,{},,0.1ù,é,\%changeinR=ê200´,=0.2%,100úû,ë,\Resistancewillincreaseby0.2%.,22.ofsilver=108andAvagadronumber,=6.02×1023gmmole–1),[2018],(a)6.4N/m(b)7.1N/m(c)2.2N/m(d)5.5N/m,Aparticleexecutessimpleharmonicmotionandislocated,atx=a,bandcattimest0,2t0and3t0respectively.Abodyofmassm=10–2kgismovinginamediumand,experiencesafrictionalforceF=–kv2.Page456:P-447,,DualNatureofRadiationandMatter,,55.Thevalueofwis(neglectfriction):,[Sep.AsatelliteofmassMisinacircularorbitofradiusRabout,thecentreoftheearth.(iii),Þu=2v2,Solvingeqs(i),(ii),&(iii),wegetmassofunknown,particle,M=m,80.Anobjectisdroppedfromaheighthfromtheground.,Everytimeithitsthegrounditlooses50%ofitskinetic,energy.Matchthethermodynamicprocessestakingplaceina,systemwiththecorrectconditions.Aparticleofmassmisattachedtoaspring(ofspring,constantk)andhasanaturalangularfrequencyw0.Energyrequiredtomoveabodyofmassmfromanorbitof,radius2Rto3Ris,[2002],(a)GMm/12R2,,(b)GMm/3R2,,(c)GMm/8R,,(d)GMm/6R.AandBaretwosourcesgeneratingsoundwaves.Ifthe,æNö,powerofthelensisclosetoç,DwhereNisan,è100÷ø,integer,thevalueofNis___________.,[NASep.Onmovingachargeof20coulombby2cm,2Jofwork,isdone,thenthepotentialdifferencebetweenthepoints,is,[2002],(a)0.1V,(b)8V,(c)2V,(d)0.5V,,Capacitors,Groupingof,TOPIC3CapacitorsandEnergyStored,inaCapacitor,47.Ifthemaximumenergylosspossibleisgivenas,æ1,ö,fçmv2÷thenf=æçmö÷.,è2,ø,èM+mø,,(,,),,(,,(a)m,,v02,x02,,v0,(b)m2x,0,2,,2æv0ö,m,(d),3çèx0÷ø,89.Ifitistoclimbthe,inclinedsurfacecontinuingtorollwithoutslipping,then,minimumvelocityforthistohappenis,[OnlineMay12,2012],,h,,v,,(a),,(b),,2gh,,7,gh,5,,7,10,gh,gh,(d),2,7,141.(a),,vd,=nem,E,,1,1,=r=,=Resistivity,s,neeme,,=,or,,1,19,,10´1.6´1019-19´1.6,P=0.4Wm,,18.[10April2019II],(Given:h=6.63×10–34Js;c=3×108ms–1),(a)11.4nm(b)9.4nm(c)12.3nm(d)10.8nm,TakingthewavelengthoffirstBalmerlineinhydrogen,spectrum(n=3ton=2)as660nm,thewavelengthofthe,2ndBalmerline(n=4ton=2)willbe;[9April2019I],(a)889.2nm,(b)488.9nm,(c)642.7nm,(d)388.9nm,AHe+ionisinitsfirstexcitedstate.2019I],(a),,(d)3kg-m2/s,uur,uur,49.Thecollisioniscompletelyinelastic.,Then,thecombinedbody:,[9Jan.04,2020(II)],1,1,(b)CV02,CV02,3,2,1,1,CV02,(c),(d),CV02,4,6,50.Hencetheparticlewillmoveina,straightline.,(c)Equatingmagneticforcetocentripetalforce,,=,,27.,,28.,,29.,,EBsin90°,2,,30.Thecurrentvoltagerelationofadiodeisgivenby,I=(e1000VT-1)mA,wheretheappliedvoltageVisin,,voltsandthetemperatureTisindegreekelvin.Amagneticfieldof1TisappliedalongX-axis.So,thefrequencyof,vibrationofthe8kgblockis:,[OnlineApril8,2017],,T(ins),,51.,,Physics,,8.0,6.0,4.0,2.0,0.51.01.52.0L(inm),,Whatisthevalueofgattheplace?,(a)9.81m/s2,(b)9.87m/s2,2,(c)9.91m/s,(d)10.0m/s2,[email protected],wavesarereflectedfromtheionosphere.Thentherelationbetweenthe,4,momentofinertiaIXandIIis,[2003],,ironplateofthickness,,(a),,ΙY=32ΙX,,(c)ΙY=ΙX,,(b),,(c),,æMö,çè,÷w,M+4mø1,,(d),,æMö,çè,÷w1,M+2mø,,TOPIC5RollingMotion,129.Auniformsphereofmass500grollswithoutslipping,onaplanehorizontalsurfacewithitscentremovingata,speedof5.00cm/s.Thenthe,coefficientoffrictionis,[2003],(a)0.02,(b)0.03,(c)0.04,(d)0.06,,O,q,,C,,(d)2m/s,69.Youaregiven:,[8Apr.Thetotalenergy,requiredtoionizetheHeliumatomcompletelyis:,[OnlineApril15,2018],(a)20eV,(b)79eV(c)109eV(d)34eV,24.2019II],,K,a,,(a),,(a),,KÎ0a2,2d(K+1),,KÎ0a2,1KÎ0a2,InK,(d),2,d,d,72.When,twothintransparentglass(refractiveindexm)platesof,thicknesst1andt2(t1>t2)areplacedinthepathofthe,twobeamsrespectively,thefringepatternwillshiftbya,distance,[OnlineMay7,2012],mbt1,b(m-1)æt1ö,(b)lt,ç÷,l,2,èt2ø,l,b(m-1),t1-t2),(c),(d)(m-1)(t1+t2),(,b,l,AttwopointsPandQonscreeninYoung’sdoubleslit,experiment,wavesfromslitsS1andS2haveapath,l,differenceof0and,respectively.Thend,is:,[9Jan.(a)Given,V1=V,V2=2V,,19.Asystemofthreechargesareplacedasshowninthe,figure:,,q,y,v,,é,ù,qQ,(a)v2=yê,+,g,ú,2,êë4pe0Rym,úû,é,ù,qQ,+gú,(b)v2=yê,ë4pe0R(R+y)m,û,é,ù,QqR,+gú,(c)v2=2yê,3,êë4pe0(R+y)m,úû,é,ù,qQ,2,+gú,(d)v=2yê,4,(,),pe,R,R,+,y,m,ë,0,û,32.If5kgofwaterat0°Cis,convertedintoiceat0°Cbythefreezer,thentheenergy,consumedbythefreezeriscloseto:,[OnlineApril10,2016],(a)1.51×105J,(b)1.68×106J,(c)1.71×107J,(d)1.67×105J,65.2020II],(a)195.66N,(b)194.32N,(c)194.66N,(d)195.32N,15.Auniformthinropeoflength12mandmass6kghangs,verticallyfromarigidsupportandablockofmass2kg,isattachedtoitsfreeend.(a)ForaparticleundergoingSHMwithanamplitudeA,andangularfrequencyw,themaximumacceleration=,w2A,Herethemaximumforceontheparticle=QE0,,andF=6phvr,,16.,,102´sin260°ćos60°,2´10,,17.Theouterloopofradius,bcarriesanalternatingcurrentI=Iocos(wt).(b)h=10–2poise,,W–T–F=0,,or,,v=18km/h=,,47.,,18000,=5m/s,3600,,l=5m,v,Strainrate=,l,shearingstress,strainrate,\Shearingstress=h×strainrate,,Coefficientofviscosity,h=,,\VTµa2,48.Twobodiesofmassesmand4mareplacedatadistancer.,Thegravitationalpotentialatapointonthelinejoining,themwherethegravitationalfieldiszerois:,[2011],(a),,d,,2-1,,-,,4Gm,r,,(b),,-,,6Gm,r,,(c),,-,,9Gm,r,,(d)zero,,43.Automatically,EcandEvdecreases.,39.Asa,result,theforcebetweenAandBwouldbeequalto,[OnlineApril16,2018],3F,F,3F,(b),(c)F,(d),4,2,8,Showninthefigurearetwopointcharges+Qand–Q,insidethecavityofasphericalshell.Ultrasound,Communication,B.Aliftismovingdownwithaccelerationa.Hence,C=C¢.,105.2019I],(a)15RT,(b)12RT,(c)4RT,(d)20RT,Inaprocess,temperatureandvolumeofonemoleofan,idealmonoatomicgasarevariedaccordingtotherelation,VT=K,whereKisaconstant.AuniformcylinderoflengthLandmassMhavingcrosssectionalareaAissuspended,withitslengthvertical,from,afixedpointbyamasslessspring,suchthatitishalf,submergedinaliquidofdensitysatequilibriumposition.,Whenthecylinderisgivenadownwardpushandreleased,,itstartsoscillatingverticallywithasmallamplitude.Thekineticenergyoftheothermassis[2006],(a)144J(b)288J,(c)192J,(d)96J,93.Apersonruns,towardsthemusicianfromanotherendofahallata,speedof10km/h.Thesubsequentmotion,ofthecombinedbodywillbe,[12Jan.The,angleqbetweentheradiusvectorpassingthroughthecommon,interfaceandtheverticalis,[OnlineApril15,2018],-1épær-röù,(a)q=tanêç12÷ú,ë2èr1+r2øû,-1pær1-r2ö,(b)q=tan,ç,÷,2èr1+r2ø,,(a),,ærö,(c)q=tan-1pç1÷,èr2ø,(d)Noneofabove,14.8Jan.06,2020(II)],(a)n+n®deuteriumatom(electronboundtothenucleus),,Theratioofthemassdensitiesofnucleiof40Caand16Ois,closeto:,[8April2019II],(a)1,(b)0.1,(c)5,(d)2,Anunstableheavynucleusatrestbreaksintotwonuclei,whichmoveawaywithvelocitiesintheratioof8:27.A220volt,1000wattbulbisconnectedacrossa110volt,mainssupply.Inaresonancetubeexperimentwhenthetubeisfilled,withwateruptoaheightof17.0cmfrombottom,itresonateswithagiventuningfork.A6.0voltbatteryisconnectedtotwolightbulbsasshownin,figure.06,2020(I)],(a)0.20m,,(b)0.45m,,(c)0.60m,(d)0.80m,39.Itcrawlsuptheditchbutstartsslipping,afteritisatheighthfromthebottom.OnesolidsphereAandanotherhollowsphereBareof,samemassandsameouterradii.2020(II)],(a)20J,(b)21J,(c)19J,(d)23J,63.AnglemadebyABand,CDattheoriginOis30°.Whichofthefollowingstatementsisfalse?,

[2017],(a)Arheostatcanbeusedasapotentialdivider,(b)Kirchhoff'ssecondlawrepresentsenergyconservation,(c)Wheatstonebridgeisthemostsensitivewhenallthe,fourresistancesareofthesameorderofmagnitude,(d)Inabalancedwheatstonebridgeifthecellandthe,galvanometerareexchanged,thenullpointisdisturbed.,129.Themassofthe,(c),,3R,(a),,9.,,10.,,41GM2,,(c),(d),450R2,225R2,450R2,Twoparticlesofequalmass‘m’goaroundacircleofradius,Rundertheactionoftheirmutualgravitationalattraction.,Thespeedofeachparticlewithrespecttotheircentreof,massis,[2011RS],Gm,Gm,Gm,Gm,(a),(b),(c),(d),4R,3R,R,2R,TwosphericalbodiesofmassMand5M&radiiR&2R,respectivelyarereleasedinfreespacewithinitialseparation,betweentheircentresequalto12R.The,temperaturesoftheoutersurfacesare‘q2’and‘q1’,respectively,(q2>q1).Magnifyingpowerofthecompound,microscopeshouldbe:,[OnlineApril11,2014],(a)200,(b)100,(c)400,(d)150,91.2020II],38.Ifl0isinitialde-Broglie,wavelengthofelectron,itsde-Brogliewavelengthattime,tisgivenby:,[8Jan.InthatcaseB-Ais:,[OnlineApril11,2015],ur,ur,ur,(a)ADq,(b)BDq-A,,uræDq2ö,Açç1(d)0,÷,2÷ø,è,rrrr,IfA´B=BÁ,thentheanglebetweenAandBis[2004],p,p,(a),(b),2,3,p,(c)p,(d),4,,(c),1,akˆ-iˆ,(a),2,,)Page36:P-27,,MotioninaPlane,,15.Forskywavepropagation,theradiowavesmusthavea,frequencyrangeinbetween:,[OnlineApril12,2014],(a)1MHzto2MHz,(b)5MHzto25MHz,(c)35MHzto40MHz,(d)45MHzto50MHz,28.(i),,G,,G,,I,R,,Þ5500+25Rg=225Rg+1100,200Rg=4400,Rg=22W,106.Thewater,risesupto8cm.04,2020(I)],(a)6.4×10–2J,(b)9.2×10–3J,(c)7.2×10–2J,(d)11.7×10–3J,Acircularcoilhasmomentofinertia0.8kgm2aroundany,diameterandiscarryingcurrenttoproduceamagnetic,momentof20Am2.02,2020(II)],B,(a)0.11m,60°,,l,(d)0.22m,Protonwithkineticenergyof1MeVmovesfromsouthto,north.Thesurfaceofametalisilluminatedalternatelywith,photonsofenergiesE1=4eVandE2=2.5eVrespectively.,Theratioofmaximumspeedsofthephotoelectronsemitted,inthetwocasesis2.Aforceof50pkN,isappliedatoneendtodetermineitsYoung'smodulus.,Assumethattheforceisexactlyknown.Iftheweightsarefoundtobesame,thenh,is:(hT2,,V,(b)T1<T2,,(c)T1=T2,,(d)T1=,,1,T,22,,Duringtheexperimenttodeterminetheresistivityofawire,byametrebridge,thejockeyismovedgentlyalongthe,wirefromlefttorightto,(a)findadeflectioninthegalvanometertowardsleft,(b)findadeflectioninthegalvanometertowardsright,(c)findnodeflectioninthegalvanometer,(d)findamaximumdeflectioninthegalvanometer,Thecircularheadofascrewgaugeisdividedinto200,divisionsandmove1mmaheadinonerevolution.2019I],(a)16:9,(b)25:9(c)4:1,(d)5:3,Onahotsummernight,therefractiveindexofairissmallest,nearthegroundandincreaseswithheightfromtheground.,Whenalightbeamisdirectedhorizontally,theHuygens',principleleadsustoconcludethatasittravels,thelight,beam:,[2015],(a)bendsdownwards,(b)bendsupwards,(c)becomesnarrower,(d)goeshorizontallywithoutanydeflection,Interferencepatternisobservedat‘P’dueto,superimpositionoftworayscomingoutfromasource‘S’,asshowninthefigure.Themoleculesare,assumedtobetriangularandmadeofmasslessrigidrods,whoseverticesareoccupiedbyatoms.Thepower,deliveredtotheparticlebytheforceactingonit,is:,[OnlineApril10,2016],1,Mn2R2t2,(b)Mn2R2t,2,(c)MnR2t2,(d)MnR2t,54.Thedisturbancey(x,t)ofawavepropagatinginthe,1,positivex-directionisgivenbyy=,attimet=0,1+x2,1,andbyy=,att=2s,wherexandyarein,é1+(x-1)2ù,ë,û,meters.100gofwaterisheatedfrom30°Cto50°C.Candidateswill,havetheoptiontochoosetheirpreferredlanguage(EnglishorHindi),,asthedefaultlanguageforviewingthequestions,atthestartofthe,ComputerBasedTest(CBT)examinationofJEE(Advanced)-2018.,QUESTION:CanIchangethelanguage(fromEnglishtoHindi,andviceversa)ofviewingthequestionsduringtheCBTofJEE,(Advanced)-2018?,ANSWER:QuestionswillbedisplayedonthescreenoftheCandidate,inthechosendefaultlanguage(EnglishorHindi).(d)Requiredwork=energyreleased,,=,,ò,,Here,Q=mcdT,4,,æT3ö,=ò0.1´32´ç,dT=,3÷,è,400,ø,20,4,,òT,,3,,4,,3.2,,ò64´106T,,3,,dT,,20,,dT=0.002kJ,,Therefore,requiredwork=0.002kJ,45.Aconvexlensisput10cmfromalightsourceandit,makesasharpimageonascreen,kept10cmfromthelens.,Nowaglassblock(refractiveindex1.5)of1.5cmthickness,isplacedincontactwiththelightsource.=B.l(2v),48.Inameterbridge,asshowninthefigure,itisgiventhat,resistanceY=12.5Wandthatthebalanceisobtainedata,distance39.5cmfromendA(byjockeyJ).Letthemomentofinertiaofahollowcylinderoflength30,cm(innerradius10cmandouterradius20cm),aboutits,axisbe1.Therefractive,indexoftheglassandwateris1.5and1.33,respectively.Thereafter,hegetsprogressivelytiredandhisapplied,forcereduceslinearlywithdistanceto100N.IfP=forthemixture,thenthevalueofn,CV2,is,[OnlineApril16,2018],(a)3/2,(b)2,(c)1,(d)3,53.Ahorizontalstraightwire20mlongextendingfromeastto,westfallingwithaspeedof5.0m/s,atrightangles,tothehorizontalcomponentoftheearth’smagneticfield,0.30×10–4Wb/m2.Ifthispotentialis,generatedbyaconstantchargeperunitvolumer0(in,unitsofe0)whichisspreadoveracertainregion,then,choosethecorrectstatement.,[OnlineApril9,2016],(a)r0=20e0intheentireregion,(b)r0=10e0for|z|£1mandp0=0elsewhere,(c)r0=20e0for|z|£1mandp0=0elsewhere,(d)r0=40e0intheentireregion,17.Thequantumnumbern,corresponding,toitsinitialexcitedstateis(forphotonofwavelength»,,energyE=,12.,,13.,,14.,,15.,,16.,,17.,,18.,,1240eV,l(innm),,[12April2019II],,(a)n=4,(b)n=5(c)n=7,(d)n=6,Theelectroninahydrogenatomfirstjumpsfromthethird,excitedstatetothesecondexcitedstateandsubsequently,tothefirstexcitedstate.Ifthespeedof,soundinairis330m/s,thenthespeedoftheengineis:,[OnlineApril9,2013],(a)32m/s(b)27.5m/s(c)60m/s(d)30m/s,86.Withinasphericalchargedistributionofchargedensity,r(r),NequipotentialsurfacesofpotentialV0,V0+DV,V0,+2DV,.........V0+NDV(DV>0),aredrawnandhave,increasingradiir0,r1,r2,.........2019II],(a)85°C,(b)60°C,(c)80°C,(d)70°C,,27.ThevalueofCis,1,,(a)pf(2pfL-R),1,,(c)pf(2pfL+R),,C,A,,1,,(b)2pf(2pfL-R),1,,(d)2pf(2pfL+R),,B,24.,,PART-II(NumericalAnswerQuestions),21.,,Theradiusofcurvatureofathinplano-convexlensis10,cm(ofcurvedsurface)andtherefractiveindexis1.5.Ifthe,planesurfaceissilvered,thenitbehaveslikeaconcave,mirroroffocallength(incm),TwomassesAandBof10kgand5kgrespectivelyare,connectedwithastringpassingoverafrictionlesspulley,fixedatthecornerofatable(asshowninfigure).Auniformrodoflengthlisbeingrotatedinahorizontal,planewithaconstantangularspeedaboutanaxispassing,throughoneofitsends.Thenetmagneticfield,atpointPwillbe:,[12April2019,I],(a)Zero,,(b),,–,,m0I,(xˆ+yˆ),2pd,,+m0I,m0I,(zˆ),(xˆ+yˆ),(d),pd,2pd,Athinringof10cmradiuscarriesauniformlydistributed,charge.Asampleofanidealgasistakenthroughthecyclicprocess,abcaasshowninthefigure.(d)Alogicgateisreversibleifwecanrecoverinputdata,fromtheoutput.Ifthestripispulledfromits,equilibriumpositionandreleased,thenumberof,oscillationsitperformsbeforeitsamplitudedecreasesby,afactorofeisN.2019I],,(a)-,,3,12gh,r,(d),4gh,r,3,86.Togetanoutputof1fromthecircuitshowninfigurethe,inputmustbe:,[OnlineApril10,2016],a,b,,Y,B,(a)AB+AB,(b)AB+AB,(c)AB,(d)AB,80.Asolidsphereofradiusrmadeofasoftmaterialofbulk,modulusKissurroundedbyaliquidinacylindrical,container.Maximumtemperatureofthegasduringthe,processis,[OnlineMay12,2012],,(c),,A,,2P0,,D,,C,,D,,(,,aV2,m-1,2,,B,,P0,,V,,P,,(c),,(a),,C,,V,,P,,(d)12.5%,2V0,V0,42.(d)Accordingtoquestion,currentthroughgalvanometer,,Ig=1mA,Currentthroughshunt(I–Ig)=2A,GalvanometerresistanceRg=25W,Resistanceofshunt,S=?,Ig,G,I0R0=(I–Ig)S,11´103´,,10-3´25,I–Ig,S,2,S;1.25×10–2W,111.The,kineticenergyoftheelectronisfoundtobe0.19MeV.,Whatwastheenergyofthephoton?,(a)0.38MeV,,(b)0.70MeV,,(c)1.40MeV,,(d)None,,If10%ofaradioactivematerialdecaysin5days,thenthe,amountoftheoriginalmaterialleftafter20daysis,approximately,(a)60%,,(b)65%,,(c)70%,,(d)75%,,Lightsoftwodifferentfrequencies,whosephotonshave,energies1eVand2.5eVrespectively,successively,illuminateametalwhoseworkfunctionis0.5eV.Theelectricfieldlinesaroundthecylinderwilllook,likefiguregivenin:(figuresareschematicandnotdrawn,toscale),[2015],(a),,(b),,(c),,(d),,CieldLines,,AwireoflengthL(=20cm),isbentintoasemicircular,arc.2019I]Page128:P-119,,Gravitation,,(a)suchthatitescapetoinfinity,(b)Inanellipticalorbit,(c)inthesamecircularorbitofradiusR,(d)inacircularorbitofadifferentradius,58.Ifthewavelengthsofemitted,radiationarel1,l2,l3andl4respectivelythen,approximatelywhichoneofthefollowingiscorrect?,[2014],(a)4l1=2l2=2l3=l4,(b)l1=2l2=2l3=l4,(c)l1=l2=4l3=9l4,(d)l1=2l2=3l3=4l4,34.Aballprojectedfromgroundatanangleof45°justclears,awallinfront.Thefunctionsin2(wt)represents,[2005],(a)aperiodic,butnotsimpleharmonicmotionwitha,p,period,w,(b)aperiodic,butnotsimpleharmonicmotionwitha,2p,period,w,(c)asimpleharmonicmotionwithaperiod,,p,w,,(d)asimpleharmonicmotionwithaperiod,,2p,wPage210:P-201,,Oscillations,,18.,,Twosimpleharmonicmotionsarerepresentedbythe,pö,æ,equationsy1=0.1sinç100pt+÷andy2=0.1cospt.,3ø,è,,19.,,Thephasedifferenceofthevelocityofparticle1with,respecttothevelocityofparticle2is,[2005],p,-p,p,-p,(a),(b),(c),(d),6,6,3,3,TwoparticlesAandBofequalmassesaresuspendedfrom,twomasslessspringsofspringconstantsk1andk2,,respectively.Theseriesresistance,ofthecircuitisRi=1k.(a),A,,Y=A.ABB.AB,,82.02,2020(I)],(a)rC>rA>rT,(b)rM>rA>rC,(c),,3.,,rA>rT>rC,,4.,,5.,,(d)rA>rM>rC,,(a)Theemfofthebatteryis1.5Vanditsinternal,resistanceis1.5W,(b)ThevalueoftheresistanceRis1.5W,(c)Thepotentialdifferenceacrossthebatteryis1.5Vwhen,itsendsacurrentof1000mA,(d)Theemfofthebatteryis1.5VandthevalueofRis1.5W,Acurrentof5Apassesthroughacopperconductor,(resistivity)=1.7×10–8Wm)ofradiusofcross-section,5mm.Ablockofmass1.9kgisatrestattheedgeofatable,of,height1m.2020II],15.04,2020(I)],(a)2sand18m,(b)4sand52m,(c)2sand24m,(d)5sand25m,12.,,Thepositionvectorofaparticlechangeswithtime,r,accordingtotherelationr(t)=15t2$i+(4-20t2)$j.,Whatisthemagnitudeoftheaccelerationatt=1?,(a)40,,13.,,(b)25,,[9April2019II],(d)50,,(c)100,,(,,),,Aparticlemovesfromthepoint2.0iˆ+4.0ˆjm,att=0,,,(,,),,withaninitialvelocity5.0iˆ+4.0ˆjms-1.(c)ByEinsteinphotoelectricequation,,Kmax=eV0=hv–hv0,Whenvisdoubled,KmaxandV0becomemorethandouble.,58.(b)Forlongdistancecommunication,skywavesignals,areused.,Also,thestateofionospherevarieseverytime.,So,bothstatementsarecorrect.,39.2020I],,TheP-Vdiagramthatbestdescribesthiscycleis:,(Diagramsareschematicandnottoscale),[8Jan.Nowitisbrokenintotwoequal,halves(eachhavinghalfoftheoriginallength)andone,pieceismadetooscillatefreelyinthesamefield.Ontakingoutthecapacitancefromthecircuit,thecurrentlagsbehindthevoltageby30°.03,2020(II)],,a11,coherentwavesisa=3.AnmasslessequilateraltriangleEFGofside'a'(Asshown,infigure)hasthreeparticlesofmassmsituatedatits,vertices.ofphotonspersecond),,37.Adielectricslab,(dielectricconstantK)thatfitsexactlybetweentheplates,isheldneartheedgeoftheplates.Thetimeperiod,ofthiscombinationwillbe,[2004],,(c),,r,(a)B,(b)zero,,r,r,(c)muchlargethan|B|andparalleltoB,r,r,(d)muchlargethan|B|butoppositetoB,17.50%oftheliquid,passesthroughthemeshunaffected.(d)Energysequenceofradiationsis,Eg-Rays>EX-Rays>Emicrowave>EAMRadiowaves,,\lg-Rays<lX-Rays<lmicrowave<lAMRadiowaves,Fromtheabovesequence,wehave,(a)Microwave®10-3m(iv),(b)GammaRays®10-15m(ii),(c)AMRadiowave®100m(i),(d)X-Rays®10-10m(iii)Page397:P-388,,47.,,Physics,,(b)TheorderlyarrangementofdifferentpartsofEMwave,indecreasingorderofwavelengthisasfollows:,,lradiowaves>lmicrowaves>lvisible>lX-rays,48.,,49.,,(c)OpticalFibreCommunication–InfraredLight,Radar–RadioWaves,Sonar–Ultrasound,MobilePhones–Microwaves,(c),,E,Decreases,g-raysX-raysuv-raysVisibleraysIRrays,Radio,VIBGYORMicrowaveswaves,,Radiowave<yellowlight<bluelight<X-rays,(Increasingorderofenergy),50.,51.,,52.,,(c)Microwaveovenactsontheprincipleofgiving,vibrationalenergytowatermolecules.,(d),(1)Infraredraysareusedtotreatmuscularstrainbecause,theseareheatrays.,(2)Radiowavesareusedforbroadcastingbecausethese,waveshaveverylongwavelengthrangingfromfew,centimeterstofewhundredkilometers.,(3)X-raysareusedtodetectfractureofbonesbecause,theyhavehighpenetratingpowerbuttheycan'tpenetrate,throughdensermediumlikedones.,(4)Ultravioletraysareabsorbedbyozoneofthe,atmosphere.,(c)Gammarays<X-rays<Ultraviolet<Visiblerays,<Infraredrays<Microwaves<Radiowaves.,,53.Acurrentof5.5ampere,givesfullscaledeflectioninthegalvanometer.Assuminghumanpupiltohavearadiusof0.25cmanda,comfortableviewingdistanceof25cm,theminimum,separationbetweentwoobjectsthathumaneyecanresolve,at500nmwavelengthis:,[2015],(a)100µm(b)300µm(c)1µm,(d)30µm,70.Inthefigureshownbelow,thechargeontheleftplateof,the10mFcapacitoris–30mC.FourequalpointchargesQeachareplacedinthexy,planeat(0,2),(4,2),(4,–2)and(0,–2).Acopperwireiswoundonawoodenframe,whoseshape,isthatofanequilateraltriangle.Giventhatl1andl2are,invisiblerange(380nmto740nm),theirvaluesare:,[10Jan.Themagneticfieldduetoacurrentcarryingcircularloop,ofradius3cmatapointontheaxisatadistanceof4cm,fromthecentreis54mT.2019II],Mw0,Mw0,(a),(b),M+m,M+3m,Mw0,Mw0,(d),(c),M+6m,M+2m,95.Thevalues,ofv1andv2arenearly:,[10April2019I]Page69:P-60,,Physics,,5,thoftheinitialkinetic,6,energyislostinwholeprocess.Thepotentialdifference(in,V)acrossthecapacitorwhenitisfullychargedis,__________.,[Sep.Heatgiventoabodywhichraisesitstemperatureby1°C,is,[2002],(a)waterequivalent,(b)thermalcapacity,(c)specificheat,(d)temperaturegradient,,(a)Page169:P-160,,Physics,,62.AssumingthatStokeslawisvalid,andratioof,thecoefficientofviscosityofairtothatofcarbondioxide,is1.3.Thetimeinwhichamplitudeofthispendulumwill,reducefrom10cmto5cmincarbondioxidewillbecloseto,(In5=1.601,In2=0.693).,[OnlineApril9,2014],(a)231s,(b)208s,(c)161s,(d)142s,58.Thecoefficientoffrictionbetween,theblockandthewallis0.2.Theweightoftheblockis,[2003],,a,,10N,(a)cota=3,(b)seca=3,(c)coseca=3,(d)cosa=3,59.(b)Thenumberofa-particlesreleased=8,Decreaseinatomicnumber=8×2=16,Thenumberofb–-particlesreleased=4,Increaseinatomicnumber=4×1=4,Alsothenumberofb+particlesreleasedis2,whichshould,decreasetheatomicnumberby2.,,Thereforethefinalatomicnumberofresultingnucleus,=Z–16+4–2=Z–14,=92–14=78,60.Ontakingout,theinductorfromthecircuitthecurrentleadsthevoltage,by30°.Thecoefficientoffrictionof,horizontalsurfaceis0.15.TherateofJoule,heatinginthe4Wresistoris[OnlineMay12,2012],(a)0.55W(b)0.33W(c)0.25W(d)0.86W,99.Theinitialstateofallthegasesarethe,sameandthescalesforthetwoaxescoincide.(a)ThecurrentwillflowthroughRLwhenthediodeis,forwardbiased.,37.ThecoilisplacedinamagneticfieldBparallel,toitsplane.2019I],2,2,(a)2mv,(b)mv,(c),,1,mv2,2,,(d),,3,mv2,2,,61.Franck-Hertz,Experiment,B.Thenv(inm/s)is____[NA8Jan.Whenjawsare,touchingeachother,the7thdivisionofvernierscale,coincideswithadivisionofmainscaleandthezeroof,vernierscaleislyingrightsideofthezeroofmainscale.,Whenthisvernierisusedtomeasurelengthofacylinder,thezeroofthevernierscalebetwen3.1cmand3.2cmand,4thVSDcoincideswithamainscaledivision.Themaximummagneticforce,experiencedbytheelectronwillbe:,,(givenc=3×108ms–1&electroncharge=1.6×10–19C),[Sep.Amassof10kgissuspendedverticallybyaropefrom,theroof.2020I],AKÎ0æadö,(a),ç1+,÷,dè,2ø,2,AÎ0Kææadöö,ç1+ç,÷,(b),÷,dçè2ø÷,è,ø,æ,22ö,AÎ0Kçad÷,1+,(c),2÷,dç,è,ø,AKÎ0,(1+ad),(d),d,,(c)Page269:P-260,,Physics,,56.Aprojectilecanhavethesamerange‘R’fortwoangles,ofprojection.Themaximumheightattained,bytheballis:,[Sep.Ifthecoefficientoffriction,6,is0.5,themaximumheightabovethegroundatwhichthe,blockcanbeplacedwithoutslippingis:,[2014],,crosssectiongivenbyy=,,1,2,1,1,m,m,m,m,(b),(c),(d),6,3,3,2,51.Thechargingbatteryisthen,disconnected.Theresistanceofhottungstenfilamentisabout10times,thecoldresistance.Theblockof,massMisreleasedfromrestwithspringinunstretched,state.Inthegivencircuit,thechargeon4mFcapacitorwillbe:,[12April2019II],,S,e,,(b)9.6mC(c)13.4mC,,(d)24mC,,C,,3C,,1Q2,3Q2,5Q2,3Q2,(b),(c),(d),8C,8C,8C,4C,65.2020I],32.(a)Initialactivity,Ao=5000disintegrationperminute,Activityafter5min,A=1250disintegrationperminute,A=Aoe–lt,A,Þe–lt=o,A,A,1,5000,1,Þl=logeo=loge,5,1250,t,A,,2,loge2=0.4loge2,5,61.Iftheelevatorismoving,upwithitsfullcapacity,thepowerdeliveredbythemotor,totheelevator(g=10m/s2)mustbeatleast:,[7Jan.A10kWtransmitteremitsradiowavesofwavelength500,m.Onepartisfilled,withanidealgasatapressurePandtemperatureT,whereas,theotherpartiscompletlyevacuated.Ifthe,aboveballisinequilibriuminamixtureofthisoilandwater,,whichofthefollowingpicturesrepresentsitsequilibrium,position?,[2010],,water,(a),,oil,,oil,(b),,water,,water,(c),,oil,(d),,oil,,water,,17.Itfollows,that,[2004],(a)itskineticenergyisconstant,(b)itsaccelerationisconstant,(c)itsvelocityisconstant,(d)itmovesinastraightline,Awiresuspendedverticallyfromoneofitsendsis,stretchedbyattachingaweightof200Ntothelowerend.,Theweightstretchesthewireby1mm.Astationaryhorizontaldiscisfreetorotateaboutitsaxis.,Whenatorqueisappliedonit,itskineticenergyasa,functionofq,whereqistheanglebywhichithasrotated,,isgivenaskq2.(b),,12,gt,,2,,velocityu,,1,Þh=0×T+gT2,2,12,Þh=gT,2,,Verticaldistancemovedintime,,BallAisthrownupwardswith,,fromthebuilding.Findthelocationof,PwithrespecttoC.,[2005],l,B,,A,P,,2l,,F,,C,,(a),,3,l,2,,TOPIC2,,(b),,2,l,3,,(c)l,,4,l,3,,AngularDisplacement,,VelocityandAceleration,,23.Twosprings,offorceconstantsk1andk2areconnected,toamassmasshown.Of,thefourchoicesgivenafterthestatements,choosethe,onethatbestdescribesthetwostatements.,[2008],Statement-1:ForamassMkeptatthecentreofacubeof,side‘a’,thefluxofgravitationalfieldpassingthroughits,sides4pGM.(106)Given:Vair=300m/s,rgas=2rair,=,,B,r,,Using,V=,,Vgas,Vair,,=,,ÞVgas=,,B,2rair,B,rair,,Vair,2,,=,,300,2,,Andfnthharmonic=,,=,,Tlmv2´l,=,YAl(YA),,6´10–3´902,11,,–6,,=3´10–4m,,16´10´10,=0.03mm,24.Thetemperature,(inK)atwhichthermsspeedofaH2moleculewouldbe,equaltothermsspeedofanitrogenmolecule,is,_____________.Whenthecontainerisevacuated,theresonance,frequencyofthecircuitis10kHz.Whenthecontaineris,filledwithagas,theresonancefrequencychangesby50,Hz.Thedielectricconstantofthegasis,[OnlineMay26,2012],(a)1.001,(b)2.001(c)1.01,(d)3.01,96.Ifminimumpossibleworkisdonebyarefrigeratorin,converting100gramsofwaterat0°Ctoice,howmuchheat,(incalories)isreleasedtothesurroundingsattemperature,27°C(Latentheatofice=80Cal/gram)tothenearestinteger?,[NA3Sep.Outofthefourpaths,whichpathis,notpossible?,[OnlineMay7,2012],,7.,,A,,N,.FigureshowsaDCvoltageregulatorcircuit,withaZener,diodeofbreakdownvoltage=6V.Theelongationinthespringis1cm.ThevoltageEoftheacsource,is:,[OnlineApril9,2013],L,,C,,~,,E,,(a)400Volt(b)500Volt(c)100Volt(d)700Volt,43.,,(a),,p,LC,4,,(a)1.7×105W,,(b)2.7×106W,,(c)3.3×107W,,(d)1.3×104W,,47.Aballismadeofamaterialofdensityrwhereroil<r<rwater,withroilandrwaterreprese-ntingthedensitiesofoiland,water,respectively.Thenewamplitudeofthe,3,motionis:,[2016],7A,A,41(d)3A,(a)A3,(b),(c),3,3,,y,,y,,(c),,x,,(d),,xPage209:P-200,,8.,,9.,,10.,,Physics,,Abodyisinsimpleharmonicmotionwithtimeperiodhalf,second(T=0.5s)andamplitudeonecm(A=1cm).Thecurrentthatshouldbepassedinthe,solenoidtodemagnetisetheferromagnetcompletelyis:,[OnlineApril15,2018],B(T),2,0,1,0,,H(A/m),,–200–100100200,–1,0,–2,0,,(a)2mA,(b)1mA(c)40µA,(d)20µA,24.(c)Asweknow,momentofinertiaofadiscaboutanaxis,passingthroughC.G.andperpendiculartoitsplane,,2,,mR,2,Momentofinertiaofadiscaboutatangentialaxis,perpendiculartoitsownplane,,Iz=,,3,Iz'=mR2,2,,q,,q,,r,mR23mR2,IzIz'=,=13,\,2,2,107.(b)Given,lengthofconductorl=1m,,Angularspeed,w=5rad/s,,Magneticfield,B=0.2×10–4T,EmFgeneratedbetweentwoendsofconductor,e=,,49.Theheight,ofthetablefromthegroundis0.8m.2019II]Page97:P-88,,Physics,,(a),(c),,137,MR2,15,,(b),,209,MR2,15,,(d),,17,MR2,15,152,MR2,15,,m,areconnectedatthetwoendsof,2,amasslessrigidrodoflengthl.Attimet,itscoordiantes,are(20m,y0m).Threeforcesstartactingsimultaneouslyonaparticle,r,movingwithvelocity,v.Oneofits,twoplatesisgiven+2mCchargeandtheotherplate,,+4mCcharge.Thesearethen,connectedinparallelinsuchamannerthatthepositive,terminalofoneisconnectedtothenegativeterminalofthe,other.Thedisplacementofanobjectattachedtoaspringand,executingsimpleharmonicmotionisgivenbyx=2×10–2,cosptmetre.Thetimeatwhichthemaximumspeedfirst,occursis,[2007],(a)0.25s,,(b)0.5s,,(c)0.75s,,(d)0.125s,,68.(c)DT=,,0.1,1,´100+2´´100=2.72;3%,=,20,90,0.1,63.Thermalconductivitiesof,copper,brassandsteelare0.92,0.26and0.12CGSunits,respectively.Ifthe,magneticfieldatitscentreis3.8×10–9T,thenthecharge,carriedbytheringiscloseto(µ0=4p×10–7N/A2).,[12April2019,I],–6,–5,(a)2×10C(b)3×10C(c)4×10–5C(d)7×10–6C,FindthemagneticfieldatpointPduetoastraightline,segmentABoflength6cmcarryingacurrentof5A.Thegastemperaturesindifferentstates,areT1=200K,T2=400K,T3=1600K,andT4=800K.An,externalforceF(t)proportionaltocoswt(w¹w0)is,appliedtotheoscillator.Theangularretardation,in(rad/s2)is:Page514:MockTest-1,,MT-5,,RESPONSESHEET,1.,,a,,bcd,,2.,,a,,bcd,,3.,,a,,bcd,,4.,,a,,bcd,,5.,,a,,bcd,,6.,,a,,bcd,,7.,,a,,bcd,,8.,,a,,bcd,,9.,,a,,bcd,,10.,,a,,bcd,,11.,,a,,bcd,,12.,,a,,bcd,,13.,,a,,bcd,,14.,,a,,bcd,,15.,,a,,bcd,,16.,,a,,bcd,,17.,,a,,bcd,,18.,,a,,bcd,,19.,,a,,bcd,,20.,,a,,bcd,,21.,,22.,,23.,,24.,,25.Assumingpulleytobeaperfectuniform,circulardisc,theaccelerationofthemassm,ifthestring,doesnotsliponthepulley,is:,[2011],(c),,(a)g,,(b),,2,g,3,,(c),,g,3,,(d),,3,g,2,,118.Whatwillbetheacute,angleofinclinationofthepistolformaximumrangewhen,thecarismovinginthedirectionoffiringwithuniform,velocityv=20m/s,onahorizontalsurface?Anidealcellofemf10Visconnectedincircuitshownin,figure.(d)InaseriesLCRcircuitvoltageacrosstheinductor,andcapacitorareinoppositephase,,2,,Rt,L,,1,,=,,\C=0.1´10-5F=1mF,,2,,-3,1,E-t,Þi=eL=1é100´10=,R,e,urur,df,d(NB.(c)Speedonreachingground,,39.Whenthesecapacitorsare,individuallyconnectedtoavoltagesourceof1V,the,energystoredinthecapacitorC2is4timesthatofC1.Auniformstringoflength20missuspendedfromarigid,support.(b)Thephotoelectricemissionisaninstantaneous,processwithoutanyapparenttimelag.Asshowninthefigure,abobofmassmistiedbya,masslessstringwhoseotherendportioniswoundona,flywheel(disc)ofradiusrandmassm.2019II],2l,l,,(a),,P,,5Mo,,2Mo,,g,g,(b),13l,3l,g,7g,(c),(d),2l,3l,53.Innholdogannonsersomerpersonligtilpasset,kanogsåværebasertpådissetingenesamtaktivitetendin,foreksempelGoogle-søkogvideoerduserpåYouTube.Thebestestimatefortheratioofkineticenergies,ofthefirstandthesecondparticleisclosestto,[OnlineApril16,2018],(a)10–1,(b)6×10–2(c)6×102(d)3×10–3,24.(Range),(c)Yes,Manwillcatchtheball,ifthehorizontal,componentofvelocitybecomesequaltotheconstant,speedofman.,vo,=vocosq,2,orq=60°,(d)Horizontalrangeisrequired,,...(ii),,Dividing(i)by(ii)weget,,,...(ii),,Fromequation(i)and(ii),A=p,,–vcar=(b+1)v,,Whencarismovingwithspeed(1+b)v,,,10´g´2,=20metre,g,(a)Let,totalareaaroundfountain,2,A=pRmax,,45°,,Whencarismovingwithspeedv,,,Rmax=,,34.,,60°,–vcar=v,,v,,u2,=10Þu2=10g´2,2g,,R=,,vr,,(rrBA)(·vrBA),2,(vrBA),,(80iˆ+150ˆj)(-40iˆ-50ˆj),,\t=,,(1041)2,,10700,1041´1041,,=,,107,=2.6hrs.,41Page44:P-35,,MotioninaPlane,,42.,,Changeinvelocity,,,pp,=,2w2,So,bothhavecompletedquatercircle,,(c)From,q=wt=w,,|Dv|=v12+v22+2v1v2cos(p–q),,=2vsin,,wR1A,,r,,r,,(Q|v1|=|v2|)=v,,=(2×10)×sin(30°)=2×10×,,wR2B,,V2,r,ra=constant,Hencegraph(c)correctlydescribesrelationbetween,accelerationandradius.,a=,,Relativevelocity,,,(),,vA–vB=wR1–iˆ-wR2(–i)=w(R2–R1)i,,v2,,(d),,q,,1,2,,=10m/s,44.Ifthekineticenergyofafreeelectrondoubles,it’sdeBrogliewavelengthchangesbythefactor,[2005],1,1,(a)2,(b),(c),(d),2,2,2,21.Atfour,differentvaluesofq,q=8°,38°,188°and218°,theobserved,intensitiesaresame.ThereversebreakdownvoltageofaZenerdiodeis5.6Vin,thegivencircuit.,,ThecurrentIzthroughtheZeneris:,(a)10mA,(b)17mA,(c)15mA,(d)7mA,,[8April2019I]Page484:P-475,,SemiconductorElectronics:Materials,DevicesandSimpleCircuits,,14.,,Inthegivencircuitthecurrentthrough,ZenerDiodeiscloseto:,[11Jan.Aheatercoiliscutintotwoequalpartsandonlyonepart,isnowusedintheheater.Ifthe,refractiveindexoftheliquidisN/100,whereNisaninteger,,thevalueofNis___________.Whenanobjectiskeptata,distanceof30cmtotheleftoftheconvexlens,itsimage,remainsatthesamepositioneveniftheconcavemirroris,removed.(c)q=,,55.Ablockkeptonaroughinclinedplane,asshowninthe,figure,remainsatrestuptoamaximumforce2Ndown,theinclinedplane.Intheexperimentalsetupofmetrebridgeshowninthe,figure,thenullpointisobtainedatadistanceof40cmfrom,A.2019II],,(b)QA=VC,QB=CV,,VC,VC,CV,(d)QA=,,QB=,e,e,2,Thecircuitshownbelowisworkingasa8Vdcregulated,voltagesource.(a)FromtheDoppler'seffectofsound,frequency,appearedatwall,330,fw=,×f,...(i),330-v,Here,v=speedofbus,,f=actualfrequencyofsource,Frequencyheardafterreflectionfromwall(f')is,330+v,330+v,f'=,×fw=,×f,330,330-v,330+v,Þ490=,×420,330-v,330´7,Þv=,»25.38m/s=91km/s,91,67.(d),,dV3dr,=,V,r,,....(i),43,pR,3,,DV,V,Ethanol>Water>Mercury,,compressioninvolumePage147:P-138,,28.During,observation,tillwateriscomingout,thetimeperiodof,oscillationwould,[2005],(a)firstdecreaseandthenincreasetotheoriginalvalue,(b)firstincreaseandthendecreasetotheoriginalvalue,(c)increasetowardsasaturationvalue,(d)remainunchanged,69.(a)Using,time/oscillationperiod,,,I,M,1æMöælö,ç÷ç÷=andM¢=,12è2øè2ø,8,2,,T1,,2MR2,2,=,3,2,3,MR,2,,I1,=,I2,,2,,\,,Momentofinertiaofeachpart,I¢=,,T1,=,T2,,40.R,2,2,,5,R,2,ForgasB(diatomic)inadditionto(3translational+2,rotational)2vibrationaldegreeoffreedom.,,æCö,19,\çP÷,=,C,èVømixture13,,\CA=,vPage207:P-198,,Physics,,No.ofmolesofhelium,,mHe,16,n1=M,=4,=,4,He,Numberofmolesofoxygen,,161,=,n2=,322,3,15,5,4´R+´R6R+R,2,2,2,4,=,=,9,1ö,æ,\Cv,çè4+÷ø,2,2,,29R´229R,=,and,9´4,18,Specificheatatconstantpressure,=,,Cp=,,n1Cp1+n2Cp2,(n1+n2),,7,10R+R,4=47R,=,9,18,2,,5R17R,+´,4´,222,=,1ö,æ,çè4+÷ø,2,,Þ,\,,Cp,Cv,,=,,47R18,´,=1.62,1829R,,5,7,g=,325,n1=1,n2=1,,62.Hereachestheground,withaspeedof3m/s.Truthtableforthegivencircuitwillbe,[OnlineApril15,2018],x,z,,(a),,(c),,yz,,001,011,101,,(b),,yz,,10,,111,,x,,yz,,x,,001,011,101,11,,(d),,yz,,000,011,101,111,,Ifa,b,c,dareinputstoagateandxisitsoutput,then,as,perthefollowingtimegraph,thegateis:,[2016],d,c,,B,,000,010,100,,1,,1,,82.,,x,,0,,0,,0,1,,1,0,,1,1,,1,,1,,1,,OR–Gate,AND–Gate,,(b)NAND–Gate,(d)NOR–Gate,,50W,,85.,A,,y,x,,(a),(c),,0,,VCC–6V,,50W,Vout,R=10kW,,Given:AandBareinputterminals.,Logic1=>5V,Logic0=<1V,Whichlogicgateoperation,theabovecircuitdoes?,[OnlineApril19,2014],(a)ANDGate,(b)ORGate,(c)XORGate,(d)NORGate,86.Apersontryingtoloseweightbyburningfatliftsamass,of10kguptoaheightof1m1000times.Giventhatg=3.1Àms–2,,whatwillbethetensilestressthatwouldbedevelopedin,thewire?,[9April2019I],(a)6.2×106Nm–2,(b)5.2×106Nm–2,(c)3.1×106Nm–2,(d)4.8×106Nm–2,Asteelwirehavingaradiusof2.0mm,carryingaloadof,4kg,ishangingfromaceiling.Theratioofworkdonebyanidealmonoatomicgastothe,heatsuppliedtoitinanisobaricprocessis:,[OnlineApril9,2016],,(a),,2,3,3,2,(a),(b),(c),(d),5,2,5,3,32.IfavoltageV(t)=10sin(314t)isappliedtothe,circuit,thecurrentinthecircuitisgivenas:,[9Jan.Theintensityoftheemergent,lightis,[2013],(a)I0,(b)I0/2,(c)I0/4,(d)I0/8,ThisquestionhasStatement-1andStatements-2.Whenacurrentof5mAispassedthroughagalvanometer,havingacoilofresistance15W,itshowsfullscale,deflection.Ifanammeteristobeusedinplaceofavoltmeter,thenwe,mustconnectwiththeammetera,[2002],(a)lowresistanceinparallel,(b)highresistanceinparallel,(c)highresistanceinseries,(d)lowresistanceinseries.,,(c),,(d)Page304:P-295,,CurrentElectricity,,1.,,2.,,(c)Ammeter:Inseriesconnection,thesamecurrent,flowsthroughallthecomponents.(c),,P,,Þ,VBE,,ri,62.Amasslessstringiswrappedoveritsrimandtwo,blocksofmassesm1andm2(m1>m2)areattachedtothe,endsofthestring.2019I],(a)1:16(b)1:2,(c)1:4,(d)1:8,28.Wegetastraightlinebetweenv,andtwithnegativeslope.,12,Alsoy=ut-gt,2,Allthesecharacteristicsarerepresentedbygraph(b).,42.Then:,[OnlineApril9,2016],,(a)r1,,(b)2r1,,(c)4r1,,(d),,R,H,2r,,h,2x,1,ö4,,æH,(a)x=rç,èH+h÷ø,,2,,æHö,(b)x=rçè,÷,H+hø,1,,æHö,æHö2,(c)x=rç,(d)x=rç,èH+h÷ø,èH+h÷ø,29.(a)Collectorcurrent,IC=5.488mA,,EmittercurrentIe=5.6mA,a=,,Ic5.488,,,=,Ie,5.6,,b=,,a,=49,1-a,,67.Theyareincircularorbitsinaplanedueto,magneticfieldperpendiculartotheplane.Theenergyspectrumofb-particles[numberN(E)as,afunctionofb-energyE]emittedfromaradioactivesource,is,[2006],,(c),,(a),,(b),,N(E),E,,E0,,(c),,N(E),,E0,,(d),,N(E),,E0,,E,,N(E),,E,,E0,,E,,7,ofitdecaysinto,8,Znin15minutes.Thepotentialenergyfunctionfortheforcebetweentwo,,(a),,(a),,(b)t,,41.,,42.,,(a)–0.5J,(b)–1.25J,(c)1.25J,(d)0.5J,43.Arigidmasslessrodoflength3lhastwomassesattached,ateachendasshowninthefigure.Itwillemit:,[OnlineApril25,2013],(a)2linesintheLymanseriesand1lineintheBalmar,series,(b)3linesintheLymanseries,(c)1lineintheLymanseriesand2linesintheBalmarseries,(d)3linesintheBalmerseries,IntheBohr’smodelofhydrogen-likeatomtheforce,betweenthenucleusandtheelectronismodifiedas,,F=,,e2æ1bö,ç+÷,wherebisaconstant.Thestringvibratesinitsthirdharmonicmode.,Thespeedofthewaveanditsfundamentalfrequencyis:,[9April2019(II)],(a)180m/s,80Hz,(b)320m/s,80Hz,(c)320m/s,120Hz,(d)180m/s,120Hz,Astringisclampedatboththeendsanditisvibratingin,its4thharmonic.Themotorspeedisslowly,increased.Aprojectileisgivenaninitialvelocityof(iˆ+2ˆj)m/s,,,æ2ö,3,(d)q0=sin–1çè÷øandv0=ms–1,5,5,,23.,,27.2020(II)],(a)0.049m,(b)0.087m,(c)0.137m,(d)0.172m,55.03,2020(I)],ur,(a)E=9sin[200p(y+ct)]kˆV/m,ur,(b)E=-10-6sin[200p(y+ct)]kˆV/m,ur,(c)E=3´10-8sin[200p(y+ct)]kˆV/m,ur,(d)E=-9sin[200p(y+ct)]kˆV/m,,®,,V,3,11,(a)E(x,t)=[-36sin(0.5´10x+1.5´10t)$j],m,®,,V,(b)E(x,t)=[36sin(1´103x+0.5´1011t)$j],m,®,,V,(c)E(x,t)=[36sin(0.5´103x+1.5´1011t)k$],m,,5.,,®,,2.,,V,(d)E(x,t)=[36sin(1´103x+1.5´1011t)$i],m,Anelectronisconstrainedtomovealongthey-axiswitha,speedof0.1c(cisthespeedoflight)inthepresence,of,®,electromagneticwave,whoseelectricfieldisE=30j$,sin(1.5×107t–5×10–2x)V/m.Davison-Germer,experiment,,50.Thenitisheatedat,constantvolumebysupplying150Jofenergy.Theterminalspeedoftheball,is,[2008],(a),,t,,v,,Vg(r1–r2),k,,(b),,Vgr1,k,,Vgr1,Vg(r1–r2),(d),k,k,50.2019II],(b)q>sin-1,,-1,,(d)q>sin-1,,m22,m12,,(c)2a+,,2b,,(refractiveindexoffiberis1.31andsin40°=0.64),[8April2019I],,(a)30V/m,,(b)10V/m,,(c)24V/m,,(d)6V/m,,22.Thestringis,setintovibrationusinganexternalvibratoroffrequency,100Hz.Theseparationbetweensuccessivenodeson,thestringiscloseto:,[10Jan.Theyhavea,completelyinelasticcollisionandmovetogether,thereafterwithafinalspeedwhichishalfoftheirinitial,speed.(a)Chargedparticlesaredeflectedinmagneticfield.,Electrons,protonsandHe2+allarechargedspecies.Itisplacedperpendicular,toatimedependentmagneticfieldB(t)=(0.4T)sin(50pt).,Thethenetchargeflowingthroughtheloopduringt=0,sandt=10msiscloseto:,[9Jan.Aringofradius2Risplacedcoaxially,nearitsmiddle.At,someinstant,apartofLisinauniformmagneticfieldof1,T,perpendiculartotheplaneoftheloop.Inana.c.circuit,theinstantaneouse.m.f.andcurrentare,givenby,e=100sin30t,,(d),,(c),,2,,(Takee2=7.389),(a)1.06,,I,,I,,20.,,24.,,ÎR,,(b)10cos314t,(d)0.52sin314t,,22.,,Asshowninthefigure,abatteryofemfÎisconnectedtoan,inductorLandresistanceRinseries.(a)Emittermainfunctionistosupplythemajoritycharge,carrrierstowardsthecollector.TheequationofthestationarywaveisY,=0.3sin(0.157x)cos(200At).(assumetheemissivityofboththebeakers,tobethesame),[8April2019I],,t,,O,,TOPIC3Newton'sLawofCooling,58.,,(b),,loge(q–q0),,54.Thegalvanometerhas,zerodeflectionwhenthejockeyisatpointP.Therodis,pivotedaboutOandswingsasaresultofthecollision,makingangleqbeforemomentarilycomingtorest.7Jan.(c)RatioofAMsignalBandwidths,0andz£0isdifferentxy,planeshouldbetheboundrybetweentwomedia.,Angleofincidenceisgivenby,cos(p–i)=,,(6,,),,3iˆ+83ˆj-10kˆ.kˆ,20Page415:P-406,,=,,Physics,,whenliquidisputbetween,then,,m1–m2,R,,1,22,=+,f2flf,,R,m1–m2,(d)Fromtheequationofline,m=k1v+k2(Qy=mx+c),Þfeq=,,40.,,1,22,or(27/2)=18+f,orf=–54cm,,Þ,,v,=k1v+k2,u,,vö,æ,çQm=÷,uø,è,,Now-,,Þ,,k,1,=k1+2,u,v,,(Dividingbothsidesbyv),,æ1ö,=(m1-1)´ç,÷,è-18ø,,k,1,Þ2-–k1,vu,,\m1=,,111,Comparingwithlensformulav-u=f,weget,k1=,,41.,,(b)Using,McPage398:23,RayOpticsand,OpticalInstruments,below.04,2020(I)],85.2020I],(a)continuestomoveinacircularorbit,(b)EscapesfromthePlanet’sGravitationalfield,(c)Fallsverticallydownwardstowardstheplanet,(d)startsmovinginanellipticalorbitaroundtheplanet,52.Asaresultofthisuniformcharge,distributionthereisafinitevalueofelectricpotentialat,thecentreofthesphere,atthesurfaceofthesphereand,alsoatapointoutsidethesphere.R,2=19nR´2,g=2,Þ,3,5,2(13nR),n.Theinternal,resistancesofthetwobatteriesare1Wand2Wrespectively.,Thevoltageacrosstheloadliesbetween:,[2018],(a)11.6Vand11.7V,(b)11.5Vand11.6V,(c)11.4Vand11.5V,,(d)11.7Vand11.8V,,61.Thenthe,numberofspectrallinesintheemissionspectrawillbe:,[2012],(a)2,(b)3,(c)5,(d)6,,42.03,2020(II)],(a)1:2,(b)10:7,(c)2:1,(d)5:7,34.Ifthevelocityofsoundinair,is330m/s,thetuningforkfrequencyis:,[Sep.fromA,so,,129.Ashortwavepulseisintroducedatitslowest,end.Theanglebywhichitwouldrotatewhenit,hitsthegroundwillbe(inradians)closeto:,[8Apr.IfthermsvelocityofHClmolecules,initsgaseousphaseisv,misitsmassandkBis,Boltzmannconstant,thenitstemperaturewillbe:,[9April2019I],,(c),,(a),,43.,,t,,t,,(b),1,T,,T,,t,,(a),,t,,(c),,(d),1,T,,T,,mv2,6kB,,mv2,(c),7kB,,(b),,mv2,3kB,,mv2,(d),5kBPage199:P-190,,44.,,45.,,46.,,47.,,48.,,49.,,50.,,Physics,,Thespecificheats,CpandCvofagasofdiatomic,molecules,A,aregiven(inunitsofJmol–1k–1)by29and,22,respectively.[OnlineApril25,2013],V0,,MetalA,,MetalB,,1/l,,Lookingatthegraphs,youcanmostappropriatelysay,that:,(a)WorkfunctionofmetalBisgreaterthanthatofmetalA,(b)Forlightofcertainwavelengthfallingonbothmetal,,maximumkineticenergyofelectronsemittedfromA,willbegreaterthanthoseemittedfromB.,(c)WorkfunctionofmetalAisgreaterthanthatofmetalB,(d)Studentsdataisnotcorrect,53.Acoilofcircularcross-sectionhaving1000turnsand4,cm2faceareaisplacedwithitsaxisparalleltoamagnetic,fieldwhichdecreasesby10–2Wbm–2in0.01s.WhenapinisplacedatA,suchthatOA=,18cm,itsrealinvertedimageisformedatAitself,asshown,infigure.Abodyofmass2kgisdrivenbyanenginedeliveringa,constantpowerof1J/s.ValueofRis:,[3Sep.Withlight,ofwavelengthof5500Å,theminimumseparationbetween,objectsonthesurfaceofmoon,sothattheyarejust,resolved,iscloseto:,[9Jan.Theminimumbasecurrentandtheinput,voltageatwhichthetransistorwillgotosaturation,will,be,respectively:,[12Jan.Itshalflifeiscloseto:[7Jan.Thewire,atthebottomhasamassof10gandis5cmlong.Whatistheconductivityofasemiconductorsamplehaving,electronconcentrationof5×1018m–3,holeconcentration,of5×1019m–3,electronmobilityof2.0m2V–1s–1and,holemobilityof0.01m2V–1s–1?,[OnlineApril8,2017],(Takechargeofelectronas1.6×10–19C),(a)1.68(W–m)–1,(b)1.83(W–m)–1,–1,(c)0.59(W–m),(d)1.20(W–m)–1,22.(d)ThecorrectcircuitdiagramisDwithgalvanometer,resistance,RS,R-S,117.2Nwithanaccelerationof0.IdentifythecorrectoutputsignalYinthegiven,combinationofgates(asshown)forthegiveninputsA,andB.,[Sep.Twoidenticalbodieseachofmass,marenowgentlyattachedatthetwoendsofadiameterof,thering.Athinrodofmass0.9kgandlength1missuspended,at,rest,fromoneendsothatitcanfreelyoscillateinthe,verticalplane.Theratioofthede-Broglie,,aparticleBofmass,,wavelengthslAtolBafterthecollisionis,,[2017],,(a)|Py|d>h,(b)|Py|d<h,(c)|Py|d;h,(d)|Py|d>>h,17.2019I],(a)60W,(b)240W(c)120W,(d)30W,86.IntermsofresistanceRandtimeT,thedimensionsofratio,m,ofthepermeabilitymandpermittivityeis:,e,[OnlineApril11,2014],(a)[RT–2](b)[R2T–1](c)[R2],(d)[R2T2],27.The(x,y)coordinatesofthecentreof,masswillbe:,[12Apr.Atresonancethepeakvalueofthecharge,acquiredbythecapacitorwillbe:[OnlineApril22,2013],(a)10–15C(b)10–6C(c)10–10C(d)10–8C,AnLCRcircuitasshowninthefigureisconnectedtoa,voltagesourceVacwhosefrequencycanbevaried.,V,,24H,,2µF,,~,,42.,,15W,,Vac=V0sinwt,,Thefrequency,atwhichthevoltageacrosstheresistoris,maximum,is:,[OnlineApril22,2013],(a)902Hz(b)143Hz(c)23Hz,(d)345Hz,Inthecircuitshownhere,thevoltageacrossEandCare,respectively300Vand400V.06,2020(II)],3p,10.Aballofmass160gisthrownupatanangle,of60°tothehorizontalataspeedof10ms–1.Whenreleased,fromrestthebobstartsfallingvertically.TherelationbetweenH,uandn,is:,[2014],2,2,2,2,(a)2gH=nu,(b)gH=(n–2)ud,(c)2gH=nu2(n–2),(d)gH=(n–2)u2,Considerarubberballfreelyfallingfromaheighth=4.9m,ontoahorizontalelasticplate.(c)Forceonthestripwhenitisatstretchedpositionx,frommeanpositionis,F=-kx-iIB=-kx-,,BIv,ÍB,R,,B2I2,´v,R,Aboveexpressionshowsthatitiscaseofdamped,oscillation,soitsamplitudecanbegivenby,F=-kx-Page368:P-359,,ElectromagneticInduction,,38.Formationofcovalentbondsincompoundsexhibits[2002],(a)wavenatureofelectron,(b)particlenatureofelectron,(c)bothwaveandparticlenatureofelectron,(d)noneofthesePage444:P-435,,DualNatureofRadiationandMatter,,Photon,PhotoelectricEffect,TOPIC2X-raysandDavisson-Germer,Experiment,22.,,AbeamofelectronsofenergyEscattersfromatarget,havingatomicspacingof1Å.Ifthedrumrotatestoo,fast,theingredientsremainstucktothewallofthedrum,andpropermixingofingredientsdoesnottakeplace.The,capacitorC’,musthavebeenconnectedin:,[OnlineApril11,2015],,(c),,L,,I(t),,(d),,L,,R,,C,,R,,t,,t0,,~,,30.,,Aninductor(L=0.03H)andaresistor(R=0.15kW)are,connectedinseriestoabatteryof15Vemfinacircuit,shownbelow.Fourpointmasses,eachofvaluem,areplacedatthe,cornersofasquareABCDofsidel.Assumethatthepressureisconstant,throughoutthestreamofwaterandthattheflowisstreamlined.,Thecross-sectionalareaofthestream,0.15mbelowthetap,wouldbe:[Takeg=10ms–2),[10April2019(II)],(a)2×10–5m2,(b)5×10–5m2,(c)5×10–4m2,(d)1×10–5m2,23.Thetotaldistancecoveredbythebodyin6sis:,[05Sep.Acommonemitteramplifiercircuit,builtusingannpn,transistor,isshowninthefigure.Whichofthefollowingfouralternativesisnotcorrect?,Weneedmodulation:,[2011RS],(a)toreducethetimelagbetweentransmissionand,receptionoftheinformationsignal,(b)toreducethesizeofantenna,(c)toreducethefractionalbandwidth,thatistheratioof,thesignalbandwidthtothecentrefrequency,(d)toincreasetheselectivityPage508:P-499,,CommunicationSystems,,PuttingvaluesR,hTandhR,dmax=2×6.4×106éë140+40ùû,,or,dmax;65km,13.Giventhatg=3.1Àms–2,,whatwillbethetensilestressthatwouldbedevelopedin,thewire?,[8April2019I],6,–2,6,(a)6.2×10Nm,(b)5.2×10Nm–2,6,–2,(c)3.1×10Nm,(d)4.8×106Nm–2,Young’smodulioftwowiresAandBareintheratio7:4.,WireAis2mlongandhasradiusR.Asoapbubble,blownbyamechanicalpumpatthemouth,ofatube,increasesinvolume,withtime,ataconstantrate.,Thegraphthatcorrectlydepictsthetimedependenceof,pressureinsidethebubbleisgivenby:[12Jan.(a)Intensityofawave,1,I=pw2A2v,2,Since,IµA2w2,\I1µ(2a)2w2,,60.,61.,,62.,,63.,,andI2µa2(2w)2,I1=I2,Inthesamemedium,pandvaresame.,Intensitydependsonamplitudeandfrequency.,(b)Maximumnumberofbeats,=Maximumfrequency–Minimumfrequency,=(n+1)–(n–1)=2Beatspersecond,(d)Frequencyoffork1,no=200Hz,No.ofbeatsheardwhenfork2issoundedwithfork1=Dn=,4,Nowonloading(attachingtape)onunknownfork,the,massoftuningforkincreases,Sothebeatfrequency,increases(from4to6inthiscase)thenthefrequency,oftheunknownfork2isgivenby,,n=n0–Dn=200–4=196Hz,(c)Itisgiventhattuningforkoffrequency256Hzmakes,5beats/secondwiththevibratingstringofapiano.,Therefore,possiblefrequencyofthepianoare(256±5),Hz.i.e.,either261Hzor251Hz.Whenthetensioninthe,pianostringincreases,itsfrequencywillincreases.(a)ThemagneticfieldatOduetocurrentinDAis,mIp,B1=o´(directedverticallyupwards),4pa6,ThemagneticfieldatOduetocurrentinBCis,mIp,B2=o´,(directedverticallydownwards),4pb6,ThemagneticfieldduetocurrentABandCDatOiszero.,ThereforethenetmagneticfieldisPage346:P-337,,MovingChargesandMagnetism,,92.,,93.,,94.,,95.,,B=B1–B2(directedverticallyupwards),mIpmoIp,=o,´,4pa64pb6,mIæ11ömI,=oç-÷=o(b-a),24èabø24ab,r,rr,(d)F=I(l´B),TheforceonADandBCduetocurrentI1iszero.Pickitup.,[2018],,v(m/s)4,2,0,–2,,(a),2.,,distance,,velocity,,(a),,3.,,4.,,5.,,B,S,,D,,t(ins),,123456,C,,37,49,m(b)12m,(c)11m,(d),m,3,4,Thespeedversestimegraphforaparticleisshowninthe,figure.IftheradiusofitsbaseisRandits,heightishthenz0isequalto:,[2015],,5h,3h,3h2,h2,(b),(c),(d),8,4,8R,4R,15.Aconductingcircularloopmadeofathinwire,hasarea,3.5×10–3m2andresistance10W.TheyexertaforceF,oneachother.2019I],A,,D,,E,G,,B,,C,,F,,15,3,I0,(b)I=I0,16,4,9,I0,(c)I=I0,(d)I=,16,4,99.Itis,droppedinacoppercalorimeterofmass100gm,filledwith,170gmofwateratroomtemperature.ForthegivenuniformsquarelaminaABCD,whosecentre,isO,,[2007],,(c),,D,,F,,C,,O,A,,(a),,IAC=2IEF,,B,,E,,(b),,2IAC=IEF,,(c)IAD=3IEF,(d)IAC=IEF,122.(b)Momentum,=mv=[MLT–1],Planck’sconstant,,2–2,E=[MLT],=[ML2T–1],[T–1],v,rr,37.Themagnitudeof,,gravitationalpotentialonthex-axisatadistancex,taking,itsvaluetobezeroatinfinity,is:,[4Sep.Atransparentsolidcylindricalrodhasarefractiveindexof,2,.Thefrequencyof,thesourceatBis:,[OnlineApril22,2013],A,C,B,(a)500Hz(b)506Hz(c)512Hz(d)494Hz,85.Apointlikeobjectisplacedatadistanceof1minfrontof,aconvexlensoffocallength0.5m.The,pressureoftheresultinggasattemperature2000K,,whencontainedinavolume2V1isgivenbyP2.(c)Modulationindex,,ma=,,EmA,==1,EcA,,Equationofmodulatedsignal[Cm(t)],=E(C)+maE(C)sinwmt,=A(1+sinwCt)sinwmt,(AsE(C)=AsinwCt),,34.Thereisauniformelectrostaticfieldinaregion.Ifnowtheblockispulledwithaconstantforce,F,themaximumspeedoftheblockis:[9Jan.Ifitstemperaturecoefficientofresistancebe,0.005per°C,itsresistancewillbecome200Wata,temperatureof,[2006],(a)300°C,(b)400°C(c)500°C,(d)200°C,101.(c)Given:Currentthroughthegalvanometer,,ÞS=,,ig=5×10–3A,Galvanometerresistance,G=15W,LetresistanceRtobeputinserieswiththegalvanometer,toconvertitintoavoltmeter.,V=ig(R+G),10=5×10–3(R+15),\R=2000–15=1985=1.985×103W,112.Intheexperimentofcalibrationofvoltmeter,astandardcell,ofe.m.f.1.1voltisbalancedagainst440cmofpotentialwire.,Thepotentialdifferenceacrosstheendsofresistanceis,foundtobalanceagainst220cmofthewire.Oneofthechambershasvolume,V1andcontainsidealgasatpressureP1andtemperature,T1.Thevaluesoftandy0are,respectively:,[Sep.(b)Theequivalentresistanceofparallelcombinationof,2WandRis,P2=,,Req=,,R251,=,=,S753,Newresistance,,l,r,l´2,R'=2=r,A,A,4,ÞR¢=2R,l2,R',=,Þ,S100–l2,,Þ,,=,,2,,1.02,=0.02volt/cm,100-49,112.Thechangeinthevalueofaccelerationofearthtowards,sun,whenthemooncomesfromthepositionofsolar,eclipsetothepositionontheothersideofearthinline,withsunis:,=7.36×1022kg,radiusofthemoon’s,,(massofthemoon,orbit=3.8×108m).,(a),,6.73×10–5m/s2,,(c),,6.73×10–2m/s2,,[OnlineApril22,2013],(b),,6.73×10–3m/s2,,(d),,6.73×10–4m/s2,,g,(whereg=theaccelerationduetogravityon,9,thesurfaceoftheearth)intermsofR,theradiusofthe,earth,is,[2009],R,(a),(b)R/2,(c),(d)2R,2R,2,24.Asolidspherehavingmassmandradiusrrollsdownan,inclinedplane.(a)Forinelasticcollisionv'÷ø:,R,,(a)6.7mA,(b)0.67mA,(c)100mA,(d)67mA,31.02,2020(II)],(d),,ConsidertheLRcircuitshowninthefigure.Thework,functionofsodium,fromthedataplottedinthefigure,willbe:,(Given:Planck’sconstant(h)=6.63×10–34Js,electron,chargee=1.6×10–19C),[12Apr.Astraightlinepassing,throughtheoriginandmakinganangleof45°withthe,x-axismeetstheexperimentalcurveatP(2f,2f).,,111,=fvu,Thisgraphsuggestthatwhen,,67.Repeatingthesameexperimentduringsummer,,shemeasuresthecolumnlengthtobexcmforthesecond,resonance.2019I],(a)1.8m2/Vs,(b)1.5m2/Vs,(c)1.3m2/Vs,(d),1.0m2/Vs,Inanexperiment,theresistanceofamaterialisplottedas,afunctionoftemperature(insomerange).Twoparticlesofequalmassmhaverespectiveinitial,æiˆ+ˆjö,velocitiesuiânduç2÷.AuniformthinrodABoflengthLhaslinearmass,bx,densitym(x)=a+,,wherexismeasuredfromA.A60HPelectricmotorliftsanelevatorhavinga,maximumtotalloadcapacityof2000kg.(c),,q2,4pÎ0tanqmg,,kq,kq,V=,+,=4kmg/tanq,x/2x/2,22.Theanodevoltageofaphotocelliskeptfixed.Threechargedparticles,y,,2q,Bd,,150°,O,,d,30°,30°,d,,–4q,A,x,C,–2q,,A,BandCwithcharges–4q,2qand–2qarepresenton,thecircumferenceofacircleofradiusd.Inthiscase,the,energyoftherodismghwherehisthemaximumheightto,whichthecentreofmass(C.M)rises,Gaininpotentialenergy=Lossinkineticenergy,121æ12ö2,\mgh=Iw=2çè3ml÷øw,2,kineticenergyoftherodatpositionA=,,Þh=,,l2w2,6g,,120.Duetothisthefarthest,2,distancefromthecentreoftheearththatthesatellite,reachesisR.Ablockofmassm=1kgslideswithvelocityv=6m/s,onafrictionlesshorizontalsurfaceandcollideswitha,uniformverticalrodandstickstoitasshown.Germaniumisa,semiconductor.Ofthefour,choicesgivenaftertheStatements,choosetheonethat,bestdescribesthetwoStatements.,Statement1:Inanadiabaticprocess,changeininternal,energyofagasisequaltoworkdoneon/bythegasinthe,process.,Statement2:Thetemperatureofagasremainsconstant,inanadiabaticprocess.,[OnlineMay7,2012],(a)Statement1istrue,Statement2istrue,Statement2isa,correctexplanationofStatement1.,(b)Statement1istrue,Statement2isfalse.,,(a),,9P0V0,,VPage183:P-174,,Physics,,(c)Statement1isfalse,Statement2istrue.,(d)Statement1isfalse,Statement2istrue,Statement2is,notacorrectexplanationofStatement1.,46.[NA7Jan.(d),119.Foraparticleinuniformcircularmotion,theacceleration,r,aatapointP(R,q)onthecircleofradiusRis(Hereqis,measuredfromthex-axis),[2010],,(a),,-,,n2,n2,cosqiˆ+,sinqˆj,R,R,,(b),,-,,n2,n2,sinqiˆ+,cosqˆj,R,R,,(c)-,,n2,n2,cosqiˆsinqˆj,R,R,,n2ˆn2ˆ,i+,j,R,R,73.Itis,compulsorytoappearinboththepapersforresultpreparation.,QUESTION:DoIhavetochoosemyquestionpaperlanguageatthe,timeofJEE(Advanced)-2018registration?,ANSWER:NO.Thecountrateobserved,,ascountspersecond,att=6secondsiscloseto:,[10Jan.Whatisthewavelengthofthewavetrain(incm),whenitreachesthetopoftherope?[Sep.Ablockofmassmisplacedonasurfacewithavertical,x3,.Ifthebatteryvoltageis,6V,thecurrentthroughthe100Wresistance(inAmperes),is:,[11Jan.2019I],(a),,ræbö,R=,ç÷,2plèaø,,(b)R=,,(a)6W,(b)8W,(c)1W,(d)16W,o,83.Asitcoolsdowntosurrounding,temperature,itpressesthesemicircularpartstogether.Assumingrollingwithoutslipping,angular,accelerationofthecylinderis:,[10Jan.Ablockofmass0.50kgismovingwithaspeedof2.00,ms–1onasmoothsurface.Amasslessspring(K=800N/m),attachedwithamass,(500g)iscompletelyimmersedin1kgofwater.ThenP2:P1is,[2002],(a)1,(b)4,(c)2,(d)3,108.(c)Given,Lengthofsimplependulum,l=25.0cm,Timeof40oscillation,T=50s,Timeperiodofpendulum,,T=2p,,l,g,,4p2l,4p2l,Þg=2,g,T,DgDl2DT,=,+,ÞFractionalerroring=,g,l,T,ÞT2=,,Dgæ0.1ö,æ1ö,=ç,+2ç÷=0.044,÷,è50ø,gè25.0ø,Dg,\Percentageerroring=,´100=4.4%,g,47.Aconnectoroflengthl,massm,canslidefreelyoverthetwoparallelrails.Ifthewavelengthoflightusedis,»,twillbe:,[9April2019I],,(a),,2nDl,a(m_1),,(b),,nDl,a(m_1),,(c),,Dl,a(m_1),,(d),,2Dl,a(m_1),,26.Ifit,producesliquidwaterat40°C[heatofvaporizationofwater,is540cal/gandheatoffusionoficeis80cal/g],thevalue,ofMis________,[NA7Jan.Ifaballofsteel(densityr=7.8gcm)attainsaterminal,velocityof10cms–1whenfallinginwater(Coefficient,ofviscosityhwater=8.5×10–4Pa.s),then,itsterminal,velocityinglycerine(r=1.2gcm–3,h=13.2Pa.s)would,be,nearly,[2011RS],(a)6.25×10–4cms–1,(b)6.45×10–4cms–1,(c)1.5×10–5cms–1,(d)1.6×10–5cms–1,49.Ifg=1.40,theworkdonebyairis:,(31.4=4.6555)[Takeairtobeanidealgas],[7Jan.Thenwhichofthefollowingistrue?Inorderto,escapefromthegravitationalfieldofthisdoublestar,,theminimumspeedthatmeteoriteshouldhaveatOis:,(TakeGravitationalconstantG=66×10–11Nm2kg–2),[10Jan.2020I],(a)fi=f0(b)fi>f0(c)fi<f0(d)fi=–f0,9.(c)\n=,[Fromeqn.Asquareholeofsidelengthlismadeatadepthofhand,acircularholeofradiusrismadeatadepthof4hfromthe,surfaceofwaterinawatertankkeptonahorizontalsurface.,IflIg)byconnectingashunt,resistanceRAtoitand(ii)intoavoltmeterofrange0toV,(V=GI0)byconnectingaseriesresistanceRvtoit.IfthenetelectricalforceonQiszero,thenQ/q,equals:,[2009],1,(a)–1,(b)1,(c)(d)-22,2,IfgEandgMaretheaccelerationsduetogravityonthe,surfacesoftheearthandthemoonrespectivelyandif,Millikan’soildropexperimentcouldbeperformedonthe,,(a)y,,6.,,7.,,8.,,9.,,(b)–y,,(c)Page245:P-236,,Physics,,[2007],,twosurfaces,onewillfindtheratio,electronicchargeonthemoon,tobe,electronicchargeontheearth,10.,,11.,,(a)gM/gE(b)1,(c)0,(d)gE/gM,TwosphericalconductorsBandChavingequalradiiand,carryingequalchargesonthemrepeleachotherwitha,forceFwhenkeptapartatsomedistance.Ife0=8.8×10–12C2/N-m2,thenaverageenergy,densityofelectricfieldwillbe:[OnlineApril11,2014],(a)35.2×10–10J/m3,(b)35.2×10–11J/m3,–12,3,(c)35.2×10J/m,(d)35.2×10–13J/m3,Themagneticfieldinatravellingelectromagneticwave,hasapeakvalueof20nT.(c)Whentwothinlensesareincontactcoaxially,power,ofcombinationisgivenby,P=P1+P2,=(–15+5)D,=–10D.,Also,P=,Þf=,,1,f,,1,1,metre,=,P-10,,æ1,ö,\f=-ç´100÷cm=-10cm.,è10,øPage421:P-412,,Physics,,5,5,.Theminimumvalueof‘R’,sothatacurrentpasses,throughthebatterytochargeitis:[OnlineApril9,2014],(a)7W,(b)9W,(c)11W,(d)Zero,66.Atoms,,Topic1:AtomicStructureandRutherford’sNuclearModel,Topic2:Bohr’sModelandtheSpectraoftheHydrogenAtom,P-461–P-472,,,,27.(a),,2v,,pi,,Coefficientofrestutione=1=,,v2,=1,u,2,.....Thestreamofariverisflowingwithaspeedof2km/h.,Aswimmercanswimataspeedof4km/h.Themomentofinertia,ofthissystemaboutanaxispassingthroughAandparallel,toBDis,[2006],(a),,2ml2,,(b),,3ml2,,(c)3ml2,(d)ml2,123.Whenitismeasuredintwodifferent,4,5,and,ithasthefocal,3,3,lengthsf1andf2respectively.Theamountoficethatwill,meltasthetemperatureofwaterreaches0°Ciscloseto(in,grams):,[Sep.2020II],131.Asolidsphereandsolidcylinderofidenticalradiiapproach,aninclinewiththesamelinearvelocity(seefigure).IfM=2m,thenthestressproducedin,thewireis:,[OnlineApril25,2013],(c),,13.,,2.2´108Pa,2.2´107Pa,,14.IndianInstitutesofScienceEducationandResearch(IISER),,Mohali,5.Ifthewavelengthofincident,lightis260nm,themaximumkineticenergyofemitted,electronswillbe:,GivenE(ineV)=,[10Apr.2020I],,(a)0.4A,(b)2A,(c)4A,(d)zero,29.Ifthepowersdissipatedbythe,configurationsI,IIandIIIareP1,P2andP3respectively,,then:,[OnlineApril9,2017],1W,,1W,,1W,,1W,1W,,1W,1W,1W,(I),,3V,,3V1W,,1W,1W,,1W,,1W,,1W,,1W,,1W,,(II),,3V,,(a),,5,400lnJ,6,,(c)300J,,2,(b)200lnJ,3,1.5,J,(d)400ln,1.3,,91.,,R,,r,,Inthecircuitshown,theresistancerisavariableresistance.,Ifforr=fR,theheatgenerationinrismaximumthenthe,valueoffis:,[OnlineApril9,2016],1,1,3,(b)1,(c),(d),2,4,4,92.Howfarfromthethrowingpointwilltheballbe,attheheightof10mfromtheground?,[2003],,instant,apersonstartsrunningwithaconstantspeed,,37.,,1,3,[g=10m/s,sin30=,cos30o=,],2,2,(a)5.20m(b)4.33m,(c)2.60m(d)8.66m,2,,o,,RelativeVelocityinTwo,TOPIC4Dimensions&Uniform,CircularMotion,38.Bythetimethelastblockof,mass8mstartsmovingthetotalenergylossisp%ofthe,originalenergy.Ifthevelocitesofthephotoelectrons(ofmass,m)comingoutarerespectivelyv1andv2,then[2003],2h,(a)v12-v22=,(f-f2),m1,1/2,,I,,é2h,ù,(b)v1+v2=ê(f1+f2)ú,ëm,û,O,,l,,Aphotocellisilluminatedbyasmallbrightsourceplaced,1,1maway.Aftertheleapthec.g.rises,byanother1m.Theanglemadebythe,emergentraywithsecondfaceofprismwillbe:,[OnlineApril16,2018],(a)30°,(b)90°,(c)0°,(d)45°,75.Infigureasystemoffourcapacitorsconnectedacross,a10Vbatteryisshown.Assumethatthe,densityoftheearthandthemoonareequalandthatthe,earth’svolumeis64timesthevolumeofthemoon.,[8April2019II],(a),,E,64,,(b),,E,32,,(c),,E,4,,(d),,E,16,,57.(a)Fromfigure,2+mgsin30°=mmgcos30°and,10=mgsin30°+mmgcos30°,=2mmgcos30°–2,Þ6=mmgcos30°and,4=mgcos30°,Bydividingabovetwo,,3,2,,2,,10,k,,g,,P,,µ=0.6,,Ma,C,,kg,,q30°,,B,,A,,k,,m3mgcosq,,µmgcos?,,3+mgsing?,,N,,3,,2,,A,,ÞF–10–4=6,F30°,q,F=20N,C,B,47.IfEfandEiarethefinalandinitialtotalenergies,,then(Ef–Ei)is:,[10Apr.Thevalueoftheinducedemfin,wireis:,[12Jan.Page474:P-465,,Nuclei,,53.,,Aradioactivenucleus(initialmassnumberAandatomic,numberZemits3a-particlesand2positrons.Thescatteringislargestforbluelight.TheACvoltageacrossaresistancecanbemeasured,usinga:,[OnlineApril11,2015],(a)hotwirevoltmeter,(b)movingcoilgalvanometer,(c)potentialcoilgalvanometer,(d)movingmagnetgalvanometer,116.04,2020(I)],77.04,2020(I)],s–,,s+,,(a),,s–,,s+,,(b),,s–,,s+,,(c),,s–,,ElectricFieldandElectricField,Lines,,ChargesQ1andQ2areatpointsAandBofarightangle,triangleOAB(seefigure).Whenthetemperatureofwaterisincreasedto,4°C,theheightofthecylinderabovethewatersurface,becomes21cm.(a),,y=A×B×C,ABC,0,1,,0,0,,0,0,,0,0,,0,,1,,0,,0,,0,1,,0,1,,1,0,,0,0,,1,,0,,1,,0,,0,1,,1,1,,1,1,,0,1,,Y=AB.Ifthepersonstands,upwhentheswingpassesthroughitslowestpoint,the,workdonebyhim,assumingthathiscentreofmass,movesbyadistancel(l

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