fiitjee pet – vii (champions_2nd year)

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FIITJEE PET – VII (CHAMPIONS_2ND YEAR) MAINS

DATE: 03.08.2019 Time: 3 hours Maximum Marks: 360

INSTRUCTIONS:

Instructions to the Candidates 1. This Test Booklet consists of 90 questions.

Use Blue/Black ball Point Pen only for writing particulars and bubbling of OMR.

2. For each correct answer 4 Marks will awarded and for each wrong answer 1 Mark will be deducted.

3. Attempt all questions.

4. In case you have not darkened any bubble you will be awarded 0 mark for that question.

5. Use of calculator/logarithmic table is not permitted.

Don’t write / mark your answers in this question booklet. If you mark the answers in question booklet, you will not be allowed to continue the exam.

NAME:

ENROLLMENT NO.:



PET-VII _CHAMP(2ND

YEAR)-2020-MPC-2

1. The eccentricity of an ellipse, with its centre at the origin, is 1/2. If one of the directrices is x = 4, then the equation of the ellipse is

(A) 2 23x 4y 1 (B) 2 24x 3y 1 (C) 2 24x 3y 12 (D) 2 23x 4y 12

2. The ellipse 2 2x 4y 4 is inscribed in a rectangle aligned with the coordinate axes, which in turn is

inscribed in another ellipse that passes through the point (4, 0). Then the equation of the ellipse is

(A) 2 2x 12y 16 (B) 2 24x 48y 48 (C) 2 24x 64y 48 (D) 2 2x 16y 16

3. An ellipse drawn by taking a diameter of the circle 2 2x 1 y 1 as its semiminor axis and a

diameter of the circle 22x y 2 4 as its semi–major axis. If the centre of the ellipse is at the

origin and its axes are the coordinate axes, then the equation of the ellipse is

(A) 2 24x y 8 (B) 2 2x 4y 16 (C) 2 24x y 4 (D) 2 2x 4y 8

4. The centre of the ellipse

2 2x y 2 x y

19 16

is

(A) (0, 0) (B) (1, 1) (C) (1, 0) (D) (0, 1)

5. The eccentricity of the conic 2 236x 144y 36x 96y 119 0 is

(A) 3 / 2 (B) 1/2 (C) 3 / 4 (D) 1/ 3

6. A circle is described with minor axis of an ellipse as a diameter. If the foci lie on the circle, the

eccentricity of the ellipse is

(A) 1/2 (B) 1/ 2 (C) 1/3 (D) 1/ 3

7. LL’ is the latusrectum of an ellipse and SLL’ is an equilateral triangle. The eccentricity of the ellipse is

(A) 1/ 5 (B) 1/ 3 (C) 1/ 2 (D) 2 / 3

8. Equations of the latus recta of the ellipse 2 29x 4y 18x 8y 23 0 are

(A) y 5 (B) x 5 (C) y 1 5 (D) x 1 5

9. PSP’ is a focal chord of the ellipse 2 216x 25y 400 . If SP = 8 then SP’ =

(A) 1 (B) 2 (C) 3 (D) 4 10. The area (in sq.units) of the quadrilateral formed by the tangents at the end points of the latera recta

to the ellipse 2 2x y

19 5 , is

(A) 27/4 (B) 18 (C) 27/2 (D) 27

Space for rough work



PET-VII _CHAMP(2ND

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11. The equation of the circle passing through the foci of the ellipse 2 2x y

116 9

, and having centre at (0,

3) is

(A) 2 2x y 6y 5 0 (B) 2 2x y 6y 5 0

(C) 2 2x y 6y 7 0 (D) 2 2x y 6y 7 0

12. The number of values of c such that the straight line y = 4x + c touches the curve 2 2x / 4 y 1 is

(A) 0 (B) 1 (C) 2 (D) infinite

13. The product of the perpendiculars from the foci on any tangent to the ellipse 2 2 2 2x /a y /b 1 is

(A) a2 (B) a

2 – b

2 (C) b

2 (D) 2 2a b

14. If F1, F2 be the feet of the perpendiculars from the foci S1, S2 of an ellipse 2 2x /5 y /3 1 on the

tangent at any point P on the ellipse then S1 F1 . S2 F2 = (A) 2 (B) 3 (C) 4 (D) 5

15. The locus of the foot of perpendicular drawn from the centre of the ellipse 2 2x 3y 6 on any

tangent to it is

(A) 2

2 2 2 2x y 6x 2y (B) 2

2 2 2 2x y 6x 2y

(C) 2

2 2 2 2x y 6x 2y (D) 2 2 2 2x y 6x 2y

16. The equation of tangent to the ellipse 2 22x 3y 6 which make an angle 300 with the major axis is

(A) x 3y 3 0 (B) x 3y 3 0 (C) 3x 3y 13 0 (D) x 5y 3 0

17. The equation of the chord of contact of the point (1, –2) w.r.t the ellipse 2 24x 5y 20 is

(A) 9x + 16y – 12 = 0 (B) 2x – 5y – 10 = 0 (C) 5x + 7y – 16 = 0 (D) x – 15y – 20 = 0

18. The equation of the chord of the ellipse 2 22x 3y 6 having (1, –1) as its midpoint is

(A) 8x + 9y – 25 = 0 (B) 2x – 3y – 5 = 0 (C) x + y – 1 = 0 (D) 3x – 2y – 6 = 0

19. The locus of middle points of the chords of the ellipse 2 2 2 2x /a y /b 1 pass through a fixed point (h,

k) is

(A) 2 2

2 2 2 2

x y xh yk

a b a b (B)

2 2

2 2 2 2

x y xh yk

a b a b

(C) 2 2

2 2 2 2

x y xh yk

a b a b (D)

2 2

2 2 2 2

x y xh yk

a b a b




PET-VII _CHAMP(2ND

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20. The locus of the middle points of the chords of the ellipse 2 2 2 2x /a y /b 1 touching the ellipse 2 2 2 2x / y / 1 is

(A)

22 2 2 2 2 2

4 4 2 2

x y x y

a b a b

(B)

22 2 2 2 2 2

4 4 2 2

x y x y

a b a b

(C)

22 2 2 2 2 2

4 4 2 2

x y x y

a b a b

(D)

22 2 2 2 2 2

4 4 2 2

x y x y

a b a b

21. The condition that the chord of the ellipse 2 2 2 2x a y /b 1 whose middle point is 1 1x ,y subtends

right angle at the centre of the ellipse is

(A) 2 2 2 2

1 1 1 1

4 4 2 2 2 2

x y x y 1 1

a b a b a b

(B)

22 2 2 2

1 1 1 1

4 4 2 2 2 2

x y x y 1 1

a b a b a b

(C) 2 2 2 2

1 1 1 1

4 4 2 2 2 2

x y x y 1 1

a b a b a b

(D)

2 2 2 2

1 1 1 1

4 4 2 2 2 2

x y x y 1 1

a b a b a b

22. The locus of the midpoints of the chords of the ellipse 2 2 2 2x /a y /b 1 which touch the circle on the

join of the foci as diameter is

(A)

22 2 2 2

2 2

2 2 4 4

x y x ya e

a b a b

(B)

22 2 2 2

2 2

2 2 4 4

x y x ya e

a b a b

(C)

22 2 2 2

2 2

2 2 4 4

x y x ya e

a b a b

(D)

22 2 2 2

2 2

2 2 4 4

x y x ya e

a b a b

23. If and are the eccentric angles of the ends of a focal chord of the ellipse 2 2

2 2

x y1

a b then

2 2cos sec2 2

(A) 2 2

2

a b

a

(B)

2 2

2

a b

a

(C)

2

2 2

a

a b (D)

2

2 2

a

a b

24. Let d the perpendicular distance from the centre of the ellipse 2 2 2 2x /a y /b 1 to the tangent drawn

at a point P on the ellipse. If F1 and F2 are the two foci of the ellipse, then 2

1 2PF PF

(A) 2

2

2

b4a 1

d

(B)

22

2

b2a 1

d

(C)

22

2

b4a 1

d

(D)

22

2

ba 2

d




PET-VII _CHAMP(2ND

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25. If tangent at to the ellipse 2 2 2 2x /a y /b 1 meets the coordinate axes in A and B, then the locus of

the midpoint of AB is

(A) 2 2

2 2

a b4

x y (B)

2 2

2 2

a b4

x y (C)

2 2

2 2

a b2

x y (D)

2 2

2 2

b a4

x y

26. The points on the ellipse 2 2x /25 y /9 1 whose eccentric angles differ by a right angle are

(A) 5cos , 3sin , 5sin ,3cos (B) 5cos , 3sin , 5sin ,3cos

(C) 5cos , 3sin , 5sin ,3cos (D) 5cos , 3sin , 5sin ,3cos

27. If the line 2x + 5y = 12 intersects the ellipse 2 24x 5y 20 in two distinct points A and B, then the

midpoint of AB is (A) (0, 1) (B) (1, 2) (C) (1, 0) (D) (2, 1)

28. The equation 2 2x y

1 02 r r 5

represents an ellipse if

(A) r > 2 (B) r > 5 (C) 2 < r < 5 (D) r < 2 or r > 5

29. If the normal at P() on the ellipse 2 25x 14y 70 cuts the curve again at a point 2, then

cos = (A) 2/3 (B) –2/3 (C) 1/3 (D) –1/3 30. The area of the parallelogram formed by the tangents at the points whose eccentric angles are

, / 2 , , 3 / 2 on the ellipse 2 2 2 2x /a y /b 1 is

(A) ab (B) 2ab (C) 3ab (D) 4ab




PET-VII _CHAMP(2ND

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For questions 31 – 32 A circular loop of radius R is bent along a diameter and given

a shape as shown in fig (a). One of the semicircles (KNM) lies in the xz– plane and the other one (KLM) in the yz–plane with their centres at the origin. Current I is flowing through each of the semicircles as shown in fig (a)

31. A particle of charge q is released at the origin with a velocity 0ˆv v i. Find the instantaneous

force F on the particle. Assume that space is gravity free.

(A) 00

qI ˆv k4R

(B) 0

0

qI ˆv kR

(C) 00

qI ˆv k4R

(D) 0

0

qI ˆv kR

32. If an external uniform magnetic field ˆBj is applied, determine the force on the loop.

(A) ˆ2 IRBi (B) ˆ2 IRBj (C) ˆ4 IRBi (D) ˆ4 IRBj

33. A slightly divergent beam of charged particles accelerated by a potential difference V

propagates from a point A along the axis of solenoid. The beam is brought into focus at a distance from the point A at two successive values of magnetic induction

1B and 2B . Find

the specific charge q/m of the particle

(A)

2

22

2 1

q 8 V

m B B

(B)

2

22

2 1

q 4 V

m B B

(C)

2

22

2 1

q 4 V

m B B

(D)

2

22

2 1

q 8 V

m B B




PET-VII _CHAMP(2ND

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34. Two mutually perpendicular conductors carrying currents

1I and 2I lie in one plane. Locus of

the point at which the magnetic induction is zero, is a

(A) circle with centre as the point of intersection of the conductor.

(B) parabola with vertex as the point of intersection of the conductors

(C) straight line passing through the point of intersection of conductors

(D) rectangular hyperbola

35. A long straight wire carries a current I. A particle

having a positive charge q and mass m, kept at a distance

0x from the wire is projected towards it with

speed v. Find the closest distance of approach of charged particle to the wire.

(A) 0

2 mB

qI

min 0X X e

(B) 0

2 mB

qI

min 0X X e

(C) 02 qI

mBmin 0X X e

(D) None of these

36. A conducting wire of length ' ' is placed on a rough horizontal surface, where a uniform

horizontal magnetic field B perpendicular to the length of the wire exists. The values of the force required to move the rod when a current ‘I’ is established in the rod are observed to be

1F and 2F (

1F ) respectively, for the two possible directions of the current through the rod.

Find coefficient of friction between the rod and the surface.

(A) 1 2F F

2BIL

(B) 1 2F F

BIL

(C) 1 2F F

BIL

(D) 1 2F F

2BIL




PET-VII _CHAMP(2ND

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37. A circular wire loop of radius R, mass m and current I lies on a

rough surface . There is a horizontal magnetic field B . How large can the current I be before one edge of the loop will lift of the surface ?

(A) mg

IRB

(B) 2mg

IRB

(C) 2mg

IRB

(D) mg

IRB

38. A rod has a total charge Q uniformly

distributed along its length L. If the rod rotates with angular velocity about its end, compute its

magnetic moment.

(A) 21Q L

2 (B) 2Q L (C)

2Q L

6

(D)

2Q L

3

39. A hollow cylinder has length L and inner and outer radii 1R and

2R respectively. The cylinder

carries a uniform charge density . Find the expression for the magnetic moment as a

function of , the angular velocity of rotation of the cylinder about it axis.

(A) 4 4

2 1

1L R R

4 (B) 3 3

2 1

1L R R

4

(C) 2 2

2 1

1L R R

4 (D) None of these




PET-VII _CHAMP(2ND

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40. A solid cylinder of radius R and length L carries a uniform charge density between r=0

and sr R and an equal charge density of opposite sing between

sr R and r=R. What

must be the radius sR so that on rotation of the cylinder about its axis the magnetic moment

is zero ?

(A) sR 2R (B) 1/ 4

sR 2 R (C) 1/8

sR 2 R (D) None

41. Calculate the magnetic moment of a wire with a current I=0.8A, wound tightly on half a toroid. The diameter of the cross –section of the tore is equal to d= 5.0 cm, the number of turns is N = 500.

(A) 20.2 A m (B) 20.4 A m (D) 20.8 A m (D) 20.5 A m

For question 42 –43

A uniform constant magnetic field B is directed at an

angle of 045 to the x–axis in the x–y plane. PQRS is a

rigid, square wire frame carrying a steady current 0I , with

its centre at origin O. At time t=0, the frame is at rest in the position shown in , with its sides parallel to the x and y –axes. Each side of the frame is mass M and length L. (Given that moment of inertia of the frame about an axis

through its centre perpendicular to its plane is 24ML

3)




PET-VII _CHAMP(2ND

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42. What is the torque about O acting on the frame due to magnetic field ?

(A) 2

0I L B (B) 2

02I L B (C) 2

0I L B

2 (D)

2

03I L B

4

43. Find the angle by which the frame rotates under the action of this torque in a short interval

of time t .

(A) 20I B

tM

(B) 20I B3

t4 M

(C) 20I B4

t3 M

(D) None of these

For questions 44–46

A rectangular loop PQRS made from a uniform wire has length a, width b and mass m. It is free to rotate about the arm PQ, which remains hinged along a horizontal line taken as the y–axis . Take the vertically upward direction as the z–axis. A uniform magnetic field

0ˆ ˆB 3i 4k B exists in the region. The loop is now

released and is found to stay in the horizontal position in equilibrium.

44. What is the direction of the current I in PQ ? (A) P to Q (B) Q to P (C) can’t be determined (D) None of the above 45. Find the magnetic force on the arm RS. (A) 0IB b (B)

04IB b (C) 05IB b (D)

07IB b




PET-VII _CHAMP(2ND

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46. Find the expression for I in terms of 0B ,a,b and m.

(A) 0

mgI

4B b (B)

0

mgI

2B b (C)

0

mgI

8B b (D)

0

mgI

6B b

47. Point charges Q and Q' are constrained to move along the x– and y–axes, respectively, with

the same uniform speed v, At time t=0 both charges are at the origin. At time t calculate the

Lorentz

force F on 'Q due to the magnetic field of Q.

(A) 0

2

QQ'F

8 2 t

(B) 0QQ'

F8 t

(C) 0

2

QQ'F

8 2 t

(D) 0

2

QQ'F

8 t

48. A square loop of wire, edge length a, carries a current I. Compute the magnitude of the

magnetic field produced at the centre of the loop.

(A) 0I

a

(B) 02 2 I

a

(C) 0I

2 2 a

(D) None of these

49. A rod of mass m and radius R rests on two parallel rails

that are a distance apart and have a length L. The rod carries a current I (in the direction shown) and rolls along the rails without slipping . A uniform magnetic field B is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails ?

(A) 3BIL

v4m

(B) 4BIL

v3m

(C) 3BIL

v2m

(D) None of these




PET-VII _CHAMP(2ND

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For questions 50 – 51

A charged particles having charge 610 C and mass 1010 kg is

fired from the middle of the plate making an angle 030 with

plane of the plate. Length of the plate is 0.17 m and it is

separated by 0.1 m. An electric field 3 1E 10 NC is present

between the plates and just outside the plates a magnetic field is present. (Neglect gravity)

50. Find the velocity of projection of charged particle. if it has to graze the plate at Q and p

parallel to the surface of the plate.

(A) 1.2 m/s (B) 1.7 m/s (C) 1.9 m/s (D) None of these

51. Find the magnitude of the magnetic filed perpendicular to the plane of the fig, if it has to

graze the plate at Q and p parallel to the surface of the plate.

(A) 3.4 mT (B) 3.6 mT (C) 3.8 mT (D) 4.1 mT

52. The magnetic field due to a current carrying square loop of side a at a point located symmetrically at a distance of a/2 from its centre as shown in figure is

(A) 02 i

3 a

(B) 0i

6 a

(C) 02 i

3 a

(D) zero




PET-VII _CHAMP(2ND

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53. A long straight metal rod has a very long hole of radius

‘a’ drilled ‘parallel to’ the rod axis as shown in the figure. If the rod carries a current ‘i’ find the value of magnetic induction on the axis of the hole, where OC =c

(A)

0

2 2

ic

b a

(B)

0

2 2

ic

2 b a

(C) 2 2

0 b a

2 c

(D) 0

2 2

ic

2 a b

54. From a cylinder of radius R, a cylinder of radius R/2 is removed, as shown in figure. Current flowing in the remaining cylinder is I. Then, magnetic field strength is

(A) zero at point A (B) zero at point B

(C) 0I

3 R

at point A (D) None of these




PET-VII _CHAMP(2ND

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55. In a cylindrical region, uniform magnetic field is present as shown in figure. The cylinder is kept on a horizontal plane and its axis is horizontal. A charge particle of mass m and charge q is projected horizontally with velocity v through a hole normal to the axis of the cylinder as shown in the diagram. An observer states the particle moves first undeviated and subsequently.

(A) Oscillates inside the cylinder along a horizontal diameter passing through axis of the cylinder with

time period 4RqB

mg

(B) Oscillates inside the cylinder along a horizontal diameter passing through axis of the cylinder with

time period 2qRB

mg

(C) Oscillates inside the cylinder along a horizontal diameter passing through axis of the cylinder with

time period mg

qBR

(D) It is not possible for the particle to oscillate in this given situation

56. A uniform magnetic field exists in a region which form an equilateral triangle of side a. The magnetic field is perpendicular to the plane of the triangle. A charge q enters into this magnetic field perpendicular to a side with speed v. The charge enters from midpoint and leaves the field from mid–point of other side. Magnetic induction in the triangle is

(A) mv

qa (B)

2mv

qa (C)

mv

2qa (D)

mv

4qa

57. Consider six wires coming into or out of the page, all with the same current. Rank the line integral of the magnetic field (from most positive to most negative) taken counter clockwise around each loop shown.

(A) B>C>D>A (B) B>C=D>A (C) B>A>C=D (D) C>B=D>A




PET-VII _CHAMP(2ND

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58. A disc of mass has a charge Q distributed

on its surface. It is rotating about an XX' with angular velocity . The force acting on

the disc is

(A) zero (B) RN/

(C) 2Q BR (D) None of these

59. A coil having N turns is wound tightly in the form of a spiral with inner and outer radii a and b,

respectively. When a current I passes through the coil, the magnetic field at the centre is

(A) 0NI

b

(B) 02 NI

a

(C)

0NI b

Ina2 b a

(D)

0NI b

Inab a

60. A charged particle is moving in a circular path in a magnetic field. A resistive force starts acting on the

particle whose direction is oppositely directed to its motion and magnitude is directly proportional to its velocity. Now the particle starts moving in a spiral path then

(A) Angular velocity of the particle decreases continuously (B) Angular momentum of the particle remains constant (C) Magnetic field is lying only perpendicular to the plane of coil (D) Net force acting on the particle remains constant 61. The rank of atoms in the hexagonal until cell is (A) 4 (B) 3 (C) 5 (D) 6 62. The arrangement of Cl

– ions in CsCl structure is

(A) hcp (B) fcc (C) bcc (D) simple cubic 63. The structure of CsCl crystal is (A) bcc lattice (B) fcc lattice (C) octahedral (D) none 64. An ionic compound AB has ZnS type of structure, if the radius A

+ is 22.5 pm, then the ideal radius of

B– is

(A) 54.35 pm (B) 100 pm (C) 145.16 pm (D) None 65. If the edge–length of the unit cell of sodium chloride is 600 pm, and the ionic radius of Cl

– ion is 190

pm, then the ionic radius of Na+ ion is

(A) 310 pm (B) 110 pm (C) 220 pm (D) None




PET-VII _CHAMP(2ND

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66. If the unit cell length of sodium chloride crystal is 600 pm, then its density will be (A) 2.165 gm/cm

3 (B) 3.247 gm/cm

3 (C) 1.79 gm/cm

3 (D) 1.082 gm/cm

3

67. In cubic close packing (ccp) arrangement, the pattern of the successive layers will be designated is (A) AB, AB, AB, …, etc (B) AB, ABC, AB, etc (C) ABC, ABC, ABC, …. etc) (D) A, A, B, B, C, D 68. A mineral having the formula AB2 crystallises in the ccp, lattice, with A atoms occupied the lattice

point. The CN of A is 8 and that of B is 4, what percentage of the tetrahedral sites is occupied by B atoms.

(A) 25% (B) 50% (C) 75% (D) 100% 69. The arrangement of the first two layers, one above the other, in hcp and ccp arrangement is : (A) Exactly same in both cases (B) Partly same and Partly different (C) Different from each other (D) can’t compare them. 70. The radius of Na

+ is 95 pm and that of Cl

– ion is 181 pm. Predict the C.N of Na

+

(A) 4 (B) 6 (C) 8 (D) Unpredictable 71. An alloy of copper, silver and gold is found to have copper constituting ccp lattice. If silver atoms

occupy the edge centres and gold is present as body centre, the formula of the alloy is:

(A) Cu4Ag2Au (B) Cu4Ag4Au (C) Cu4Ag3Au (D) CuAgAu 72. In a F.C.C. lattice A occupies the corners, B at the faces and C at alternate tetrahedral voids. The

formula is: (A) AB3C (B) AB3C4 (C) A3BC4 (D) A8B3C4 73. In a face centered cubic arrangement of X and Y atoms, whose Y atoms are at the corner of the unit

cell and X-atoms at the face centers. One of the X-atoms is missing from one of the faces in the unit cell. The simplest formula of the compound is

(A) X5Y2

(B) X2Y5 (C) XY3 (D) X3Y 74. The unit cell of an ionic compound is a cube in which cations (A) occupy each of the corners and

anions (B) are the centres of each face. The simplest formula of the ionic compound is (A) AB2 (B) A3B (C) AB3 (D) A4B3 75. A solid has a structure in which W atom are located at the corners of a cubic lattice, O atoms at the

centres of edges and Na atom at the centre of the cube. The formula of the compound is (A) NaWO2 (B) NaWO3 (C) Na2WO3 (D) NaWO4




PET-VII _CHAMP(2ND

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76. If three metals X, Y and Z crystallized in a cubic lattice with X atoms at the corners, Y atom at cube centre and Z atoms at the centres of the edges, then the formula of the compound is :

(A) XYZ (B) XY3Z (C) X3YZ (D) XYZ3 77. The ratio of cation to anion radii (r

+ /r

–) lies in the range 0.225 – 0.414. The coordination number of

the cation and its corresponding ionic compound will be : (A) 6, KCl (B) 8, CsBr (C) 4, ZnS (D) 8, CaF2 78. In a compound, oxide ions constitute cubic close packing. Cations A occupy 50% of tetrahedral holes

while cations B occupy all the octahedral voids. The empirical formula of the compound is (A) AB2O4 (B) ABO2 (C) A2BO4 (D) ABO 79. Gold has a face centred cubic lattice with an edge length of the unit cube of 407 pm. Assuming the

closest packing, the diameter of the gold atom is (A) 576.6 pm (B) 287.8 pm (C) 352.5 pm (D) 704.9 pm 80. In Na2O structure : (A) O

2– constitute ccp and Na

+ ions occupy all the octahedral holes

(B) O2–

ions constitute ccp and Na+ ions occupy all the tetrahedral holes

(C) O2–

ions constitute ccp and Na+ ions occupy 50% of tetrahedral holes and 100% octahedral holes.

(D) Na+ ions constitute ccp and O

2– ions occupy half of octahedral holes.

81. Lithium crystallizes as body–centred cubic crystals. If the length of the side of unit cell is 350 pm, the

atomic radius of lithium is (A) 303.1 pm (B) 606.2 pm (C) 151.5 pm (D) 123.7 pm 82. MgO crystallized as rock salt. The number of nearest oxide ions to Mg

2+ ion is :

(A) two (B) four (C) six (D) twelve 83. Which of crystal systems contains the maximum number of Bravais lattices ? (A) Cubic (B) Hexagonal (C) Triclinic (D) Orthorhombic 84. NaCl is dopped with 10

-5 mole % SrCl2. What is the concentration of cation vacancies?

(A) 16 16 10 mol (B) 28 16 10 mol (C) 7 110 mol (D) 5 110 mol




PET-VII _CHAMP(2ND

YEAR)-2020-MPC-18

85. Uranium-235 decays via a sequence of seven alpha decays and four beta decays to produce a stable

nuclide. Which of the following is the nuclide that is produced? (A) Tungsten – 207 (B) Lead – 207 (C) Actinium – 235 (D) Uranium – 238

86. In which of the following crystal system a b c ? (A) Cubic (B) Tetragonal (C) Rhombohedral (D) Monoclinic

87. In which of the following crystal system = = 90 ? (A) Ortho rhombic (B) Triclinic (C) Rhombohedral (D) Mono clinic 88. The radius of an atom of an element is 500 pm, if it crystallizes as a face–centred cubic lattice, the

length of the side of unit cell is (A) 176.8 pm (B) 1154.7 pm (C) 1414 pm (D) 1000 pm 89. A radioactive sample with a half life of 1 month carries a label “Activity = 2 microcuries on

06.08.2010”. What will be the activity two moths later?

(A) 1.0 Cu (B) 0.5 Cu (C) 4 Cu (D) 8 Cu 90 Which of the following shaded plane is fcc lattice contains arrangement of atoms as shown by circles

(A)

(B)

(C)

(D)




PET-VII _CHAMP(2ND

YEAR)-2020-MPC-19

FIITJEE PET – VII (CHAMPIONS_2ND YEAR)

MAINS_ANSWERS DATE: 03.08.2019

MATHEMATICS

1. D 2. A 3. B 4. B

5. A 6. B 7. B 8. C

9. B 10. D 11. C 12. C

13. C 14. B 15. A 16. A

17. B 18. B 19. A 20. A

21. B 22. A 23. D 24. A

25. A 26. B 27. B 28. C

29. B 30. D

PHYSICS

31. C 32. C 33. D 34. C

35. D 36. D 37. A 38. C

39. A 40. B 41. D 42. A

43. B 44. A 45. C 46. D

47. A 48. B 49. B 50. C or D

51. Bonus 52. C 53. B 54. C

55. D 56. B 57. C 58. A

59. C 60. C

CHEMISTRY

61. D 62. D 63. A 64. B

65. B 66. C 67. C 68. D

69. A 70. B 71. C 72. B

73. A 74. C 75. B 76. D

77. C 78. D 79. B 80. B

81. C 82. C 83. D 84. A

85. B 86. D 87. B or C 88. C

89. B 90. C

fiitjee pet – vii (champions_2nd year)

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