CLASS X I - Doubtion

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CHEMISTRY, MATHEMATICS & PHYSICS SET – A

Time Allotted : 3 Hours Maximum Marks: 312

INSTRUCTIONS

Caution: Question Paper CODE as given above MUST be correctly marked in the answer OMR sheet before attempting the paper. Wrong CODE or no CODE will give wrong results. A. General Instructions

Attempt ALL the questions. Answers have to be marked on the OMR sheets. This question paper contains Three Sections. Section – I is “Chemistry”, Section – II is “Mathematics” and Section – III is “Physics”. Each Section is further divided into two Parts: Part – A & Part – B. Rough spaces are provided for rough work inside the question paper. No additional sheets will be

provided for rough work. Blank Papers, clip boards, log tables, slide rule, calculator, cellular phones, pagers and electronic devices,

in any form, are not allowed. B. Filling of OMR Sheet

1. Ensure matching of OMR sheet with the Question paper before you start marking your answers on OMR

sheet. 2. On the OMR sheet, darken the appropriate bubble with HB pencil for each character of your Enrolment

No. and write in ink your Name, Test Centre and other details at the designated places. 3. OMR sheet contains alphabets, numerals & special characters for marking answers. C. Marking Scheme For All Three Parts.

(i) PART-A (01 – 08) contains 8 Multiple Choice Questions which have Only One Correct answer. Each

question carries +4 marks for correct answer and –2 marks for wrong answer. PART-A (09 – 16) contains 4 Paragraphs. Based upon each paragraph, 2 Multiple Choice Questions have to be answered. Each question has Only One Correct answer and carries +3 marks for the correct answer and –1 mark for a wrong answer.

(ii) PART-B (01 – 04) contains 4 Matrix Match Type Question which have statements given in 2 columns. Statements in the first column have to be matched with statements in the second column. There may be One or More Than One Correct choices. Each question carries +12 marks for all correct answer however for each correct row +3 marks will be awarded and –1 mark for each row matched incorrectly.

Name of Candidate :

Batch ID : Date of Examination : / / 2 0 1

Enrolment Number :

Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose.

You are not allowed to leave the Examination Hall before the end of the test.

CL

AS

S X

I

Ai2

TS - 1 123813 APT - 4

ALL INDIA INTERNAL TEST SERIES

mailto:[email protected]

Ai2TS – 1 ( XI ) | SET – A | APT – 4 | P a g e | 1



Section – I (CHEMISTRY) PART – A

(Single Correct Choice Type) 1. Amongst the following oxides which is least acidic

(A) 2 3Al O (B) 2 3B O (C) 2CO (D) 2NO

2. Calculate the % of free 3SO in an oleum, that is labelled 118% H2SO4.

(A) 40% (B) 60% (C) 80% (D) 85% 3. How many milli litre of 0.5 M H2SO4 are needed to dissolve 0.5 g of Cu(II) carbonate? (A) 6.01 (B) 4.5 (C) 8.1 (D) 11.1 4. The longest wave length transition in Lyman series of atomic hydrogen will be (A) 4215 Å (B) 1437 Å (C) 3942 Å (D) 1216 Å 5. 0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m

3 at 1000 K.

Given R is the gas constant in JK1 mol

1. x is-

(A) 2

4

R

R (B)

2

4

R

R (C)

4

2

R

R

(D)

4

2

R

R

6. A particle X moving with a certain velocity has a de Broglie wavelength of 1A°. If particle Y has a mass of 25%

that of X and velocity 75% that of X, de Broglie’s wavelength of Y will be (A) 3 A° (B) 5.33 A° (C) 6.88 A° (D) 48 A° 7. Consider a titration of potassium dichromate solution with acidified Mohr’s salt solution using diphenylamine

as indicator. The number of moles of Mohr’s salt required per mole of dichromate is (A) 3 (B) 4 (C) 5 (D) 6

8. For a reaction, 2 2 33 2 ;N g H g NH g identify dihydrogen (H3) as a limiting reagent in the following

reaction mixtures.

(A) 2 256 10g of N g of H (B) 2 235 8g of N g of H

(C) 2 228 6g of N g of H (D) 2 214 4g of N g of H

---------------------------------------------------------- Space for rough work ----------------------------------------------------------





Comprehension Type Paragraph for question Nos. 09 to 10

The amount of energy releases when an electron is added to an isolated gaseous atom to produce a monovalent anion is called electron affinity or first electron affinity or electron gain enthalpy. The first electron affinity is given a

negative sign as the addition of an electron to a neutral atom is an exothermic process. The addition of electron to A required energy to overcome the force of repulsion. Thus, the second electron affinity is an endothermic process. 9. Which of the following processes is endothermic in nature?

(A) 2O e O (B) Cl e Cl (C) S e S (D) F e F

10. The electron affinities of halogens are

F = –332, Cl = –349, Br = –324, I = –295 kJ mol1

The highest value of Cl as compared to that of F is due to (A) higher atomic radius of F (B) smaller electrongativity of F (C) weaker electron repulsion in Cl (D) more vacant p-subshell in Cl

Paragraph for question Nos. 11 to 12 An electron in the hydrogen atom absorbs energy and jumps to the 4

th orbit. Then it jumps back to the ground state.

11. The total number of possible lines produced in the spectrum will be (A) 3 (B) 6 (C) 9 (D) 12

12. In 1 is the wavelength of the line for jump of the electron from 4th to 3

rd orbit and 2 that of the line for jump

from 3rd

to 2nd

orbit, then wavelength of the line for the jump from 4th orbit to 2

nd orbit will be

(A) 1 2 (B) 1 2

1 2

(C) 1 2

1 2

(D) 1 2

1 2

Paragraph for question Nos. 13 to 14

The hydrogen-like species 2Li

is in a spherically symmetric state S1 with one radial node. Upon absorbing light the

ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom. 13. Energy of the state S1 in units of the hydrogen atom ground state energy is: (A) 0.75 (B) 1.50 (C) 2.25 (D) 4.50 14. The orbital angular momentum quantum number of the state S2 is: (A) 0 (B) 1 (C) 2 (D) 3

Paragraph for question Nos. 15 to 16 12 mL gaseous mixture of an alkane and an alkene (containing same number of carbon atoms) require exactly 285 mL of air (containing 20% v/v/ O2 and rest N2) for complete combustion at 200 K. After combustion when gaseous mixture is passed through KOH solution it shows volume contraction of 36 mL. 15. Formula of alkane is

(A) 5 12C H (B) C3H8 (C) 2 6C H (D) 4 10C H

16. Mole fraction of CO2 in final gaseous sample is

(A) 6

51 (B)

6

44 (C)

6

45 (D)

6

13






PART – B (Matrix Match Type)

1. Match the following column I with column II

Column I (Electronic configuration)

Column II (Corresponding elements)

(A) 14 10 24 5 6Xe f d s (P) s-block element

(B) 14 1 25 6 7Rn f d s (Q) Transition element

(C) 14 10 2 6 24 5 6 6 7Xe f d s p s (R) d-block element

(D) 14 2 24 5 6Xe f d s (S) Representative element

(T) Inner transition element

2. Match the following List I (Reaction) with List II (Eq. mass of reactant).

Column I

Column II

(A) 3 3NH NO (P) M.wt./20

(B) 2 3 4 2Fe S FeSO SO (Q) M.wt./2

(C) 3 2 2 22CaCO HCl CaCl H O CO (R) M.wt./8

(D) 4CuS CuSO (S) M.wt./50






3. Match the following Column I with Column II.

Column I

Column II

(A) TC / PC (P) Z

(B) TC / VC (Q) a / Rb

(C) TB (R) 8b / R

(D) Ti / TB (S) 8a / 81 Rb2

(T) a / b

4. Matrix matching

Column I

Column II

(A) Radius of nth orbit (P) Inversely proportional to z

(B) Energy of nth orbit (Q)

Integral multiple of 2

h

(C) Velocity of electron in the nth orbit (R) Proportional to n

2

(D) Angular momentum of electron (S) Inversely proportional to n

(T) Proportional to Z2






Section – II (MATHEMATICS) PART– A

(Single Correct Choice Type)

1. The angle between the pair of lines whose equation is 2 24 10 5 10 0x xy my x y is

(A) 1 3

tan8

(B) 1 4

tan3

(C) 1 3

tan4

(D) 1 25 4

tan4

m

m

2. A ray of light travelling along the line 1x y is inclined on the x-axis and after refraction it enters the other

side of the x-axis by turning 15° away from the x-axis. The equation of the line along which the refraction ray travels is

(A) 3 1 0y x (B) 3 1 0y x (C) 3 1 0y x (D) None of these

3. In a circle of diameter 40 cm the length of a chord is 20 cm. Find the length of minor arc corresponding to the

chord.

(A) 20

3cm

(B)

10

3cm

(C)

40

3cm

(D)

5

3cm

4. 5 5

tan tan 3 tan tan12 12 12 12

is equal to

(A) 3 (B) 1

3 (C) 1 (D) 3

5. Area of the triangle formed by the line 3x y and angle bisectors of the pair of straight lines

2 2 2 1x y y is

(A) 2 sq. units (B) 4 sq. units (C) 6 sq. units (D) 8 sq. units

6. Let 0 1 2 3 4 5A A A A A A be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of

the line segments 0 1 0 2,A A A A and

0 4A A is

(A) 3

4 (B) 3 3 (C) 3 (D)

3 3

2

7. The coordinates of the point P on the line 2 3 1 0,x y such that PA PB is maximum, where A is (2,0)

and B is (0, 2), is

(A) 5, 3 (B) 7, 5 (C) 9, 7 (D) 11, 9

8. If A and B are angles satisfying 2 23sin 2sin 1A B and

sin 2 2

sin 2 3

A

B , then sin 2A B equals

(A) 1 (B) – 2 (C) 0 (D) 1

2







Let ABCD be a parallelogram the equation of whose diagonals are AC: 2 3; : 2 3.x y BD x y If length of

diagonal AC = 4 units and area of ABCD = 8 sq. units. 9. The length of other diagonal BD is

(A) 10

3 (B)

20

3 (C) 2 (D) 5

10. The length of side AB is equal to

(A) 2 58

3 (B)

2 58

9 (C)

3 58

9 (D)

4 58

9


, ,x y z are respectively the sines and p, q, r are respectively cosines of the angles , , which are in A.P.

with common difference 2

.3

11. yz zx xy is equal to

(A) p q r (B) x y z (C) 3

4 (D)

3

8

12. Value of 2 2 2x qy rz y rz px z px qy is equal to

(A) 0 (B) x y z (C) p q r (D) 3 3

8







Consider the lines given by 1 : 3 5 0;L x y

2 :3 1 0;L x ky 3 :5 2 12 0L x y .

13. 1 2 3, ,L L L are concurrent, if k is

(A) – 9 (B) 6

5 (C)

5

6 (D) 5

14. One of 1 2 3, ,L L L is parallel to at least one of the other two, if k is

(A) 6

5 (B) 8 (C)

5

6 (D) 5


Given

11

1

sin 2cos2 cos2 ..............cos2

2 sin 2

nm m n

n m m

, where 2 , , ,m k n m k I

15. 9 11 13

sin sin sin14 14 14

is equal to

(A) 1

64 (B)

1

64 (C)

1

8 (D)

1

8

16. 3 4 5 10cos2 cos2 cos2 ..............cos210 10 10 10

is equal to

(A) 1

128 (B)

1

256 (C)

1sin

512 10

(D)

501 3sin

512 10







1. Match the following

Column I

Column II

(A) If 2 2 0 , , ,a b c a b c R then the family of

lines 0ax by c is concurrent at

(P) 2, 1

(B) If the lines 3 2 0, 3 2 5 0x y x y and

3 0ax by are concurrent, then the ordered

pair (a, b) can be

(Q) 1 3,

2 2

(C) The coordinates of a point which is at a distance

of 1

2 units from (1, 1) in the direction of the line

3 0x y is

(R) 2,1

(D) The family of lines

3 1 5 7 1 0x y R is

concurrent at

(S) 11,

2

2. ABC is a right angled triangle at C and the angles A, B, C are in A.P.

Column I

Column II

(A) sin sin sinA B C (P) 1

(B) cos cos cosA B C (Q) 3

(C) sin2 sin2 sin2A B C (R) 3 3

2

(D) cot cot cot cot cot cotB C C A A B (S) 3 1

2






3.

Column I

Column II

(A) The tangents of two acute angles are 3 and 2. The sine of twice their difference is

(P) 1

(B) If ,

4n

then

tan tan2 tan3 ......tan 2 1n is equal to

(Q) 0

(C) If

2 4cos cos ,

3 3x y z

then xy yz zx

(R) 1

2

(D) The ratio of the greatest value of 22 cos sinx x to its least value is

(S) 7

25

(T) 13

4

4. Match column - I with column - II

Column I

Column II

(A) Two vertices of a triangle are 5, 1 and

2,3 . If orthocentre is the origin, the

coordinates of the third vertex are

(P) 4, 7

(B) A point on the line 4x y , which lies at a unit

distance from the line 4 3 10,x y is

(Q) 7,11

(C) Orthocentre of the triangle made by the lines

1 0, 3 0, 2 7x y x y x y is

(R) 1, 2

(D) If , ,a b c are in A.P. , then lines ax by c are

concurrent at

(S) 1,2

(T) 4, 7






Section – III (PHYSICS) PART– A

(Single Correct Choice Type)

1. If average speed of lion for a day is 1296 km/day. Then its speed can also be expressed as (A) 108 km/hr (B) 15 m/s (C) 30 m/s (D) 72 km/hr

2. In the expression of potential energy of a particle 2

,A x

Ux B

where x is distance from origin and A and B

are constants

(A) Dimensional formula of

5

22A ML T

(B) Dimensional formula of 3B L

(C) Dimensional formula of

3

22/A B ML T

(D) Dimension formula of

3

22AB ML T

3. If ˆˆ ˆ2A i j k and ˆˆ ˆB i j k are two vectors, then a vector having magnitude 4 2 and

(A) perpendicular to A & B both is ˆˆ4 j k (B) perpendicular to B is ˆˆ

2

j k

(C) collinear with A is 1 ˆˆ ˆ22

i j k (D) collinear with B is ˆˆ ˆ

3

i j k

4. In the following figure, the incorrect relation is

(A) 0A B E

(B) C D A

(C) B E C D

(D) 0B E C D

C

B

E

D A

5. The displacement of a body from a reference point is given by, 2 3,x t then

(A) Particle will at rest at 2t

(B) Motion is uniformly accelerated (C) Motion is non-uniformly accelerated (D) Particle will cover a distance of 8 m in 2 sec 6. The velocity time graph of a particle moving in a straight line is

given in the following figure. Which of the following is incorrect? (A) acceleration of particle at t = 9sec is -2.5 m/s

2

(B) acceleration of particle at t = 16 sec is 5/8 m/s2

(C) displacement during first 10 sec is 135 m (D) displacement during first 10 sec is 105 m

4 8 12 16 20

15

10

5

t(s)

v(m/s)

7. The maximum height attained by a projectile is 4 m and horizontal range is 12m. Then

(A) Angle of projection is 370 (B) Velocity of projection is 5 5 /m s

(C) Time of flight is 4sec (D) Minimum velocity during its flight is 4 5 /m s

8. A body has initial velocity of 3 m/s along +x-axis and has an acceleration of 1 m/s

2 along +y-axis. Then

(A) Path followed by body will be parabola (B) Path of the body can not be predicted with the given information (C) Velocity of the body will be 5 m/s after 2 seconds (D) Velocity of the body will be 7 m/s after 4 seconds






If a particle is moving along a curved path. Then component of acceleration along velocity is known as

tangential acceleration and perpendicular to velocity is known as normal acceleration. Now consider a particle

with velocity ˆ ˆ4 3i j and acceleration ˆ10 j . Then

9. Tangential acceleration vector is

(A) 6 ˆ ˆ4 35

i j (B) 6 ˆ ˆ4 35

i j (C) 8 ˆ ˆ4 35

i j (D) 8 ˆ ˆ4 35

i j

10. Magnitude of normal acceleration is

(A) 10 (B) 6 (C) 8 (D) 5 2

Paragraph for question Nos. 11 to 12 A body is dropped from a balloon moving up with a velocity of 4 m/s, when balloon is at a height of 120.5 m

from the ground. (g = 9.8 m/s2)

11. The height of the body from the ground after 5 sec (A) 12 m (B) 8 m (C) 102.5 m (D) 18 m 12. The separation between body and balloon after 8 sec will be (A) 122.5 m (B) 100.5 m (C) 152.5 m (D) 132.5 m






Paragraph for question Nos. 13 to 14 To a stationary man rain appears to be falling at his back at an angle 30

0 with the vertical. As he starts moving

forward with a speed of 0.5 m/s, he finds that rain falls vertically 13. The speed of rain with respect to stationary man is

(A) 0.5 m/s (B) 1 m/s (C) 3

/2

m s (D) 1

/3

m s

14. The speed of rain with respect to man when he is in motion

(A) 3

/2

m s (B) 0.5 /m s (C) 1 /m s (D) 1

/3

m s

Paragraph for question Nos. 15 to 16 A particle is projected from ground at an angle 60

0 with horizontal with a

speed of 10 3 m/s from point A as shown. At the same time sufficiently

long wedge is made to move with constant velocity 10 3 /m s towards

right from point A as shown.

600

10 3 m/s

A

300

u=10 3 m/s

g=10m/s2

15. The time after which particle hits the wedge is (A) 1 sec (B) 2 sec (C) 3 sec (D) 4 sec 16. Maximum separation between particle and inclined surface of the wedge is

(A) 5 m (B) 10 m (C) 15 m (D) 5

32

m







1. The projectile collides perpendicularly with the inclined plane. (Refer the figure)

u

Ground .

Column I

Column II

(A) Maximum height attained by the projectile from the ground.

(P) Zero

(B) Maximum separation attained by the projectile from inclined plane.

(Q) g

(C) Acceleration of the projectile before striking the inclined plane.

(R) 2 2sin

2 cos

u

g

(D) Horizontal component of acceleration of the projectile.

(S) 2 2sin

2

u

g

2. Column - I gives some graphs for a particle moving along x-axis in positive x-direction. The variables ,v x and

t represent speed of particle. x coordinate of particle and time respectively. Column-II gives certain

resulting interpretation. Match the graphs in column -I with the statements in column-II

Column I

Column II

(A)

v-x graph x

v

(P) Acceleration of particle in uniform

(B)

v2-x graph x

v2

(Q) Acceleration of particle is non-uniform

(C)

v-t graph t

v

(R) Acceleration of particle is directly proportional to ' 't

(D)

v-t2 graph t2

v

(S) Acceleration of particle is directly proportional to ' 'x .





3. Both A and B are thrown simultaneously as shown from a very high tower.

Column I

Column II

(A) 10m/s

10m/s

A

B

(P) Distance between the two balls after two seconds is

8 5 .m

(B) 10m/s

5m/s

(Q) Distance between two balls after 2 seconds is 40 m.

(C) 10m/s

10m/s

370

B

A

(R) Magnitude of relative velocity of B with respect to A

is 5 5 /m s .

(D) 10m/s

10m/s

370

B

A

370

(S) Magnitude of relative velocity of B w.r.t. A is

5 2 / .m s

4. Match column - I with column - II

Column I

Column II

(A) Boltzmann constant

3,

2k E kT

(P) 2 1ML T

(B) Coefficient of viscosity ,

vF A

x

(Q) 1 1ML T

(C) Planck’s constant ,h E hf (R) 3 1MLT K

(D) Thermal conductivity

,

KA T tK Q

l

(S) 2 2 1ML T K



CLASS X I - Doubtion

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