Y

Section A
//X
• Choose correct answer from the given options. [Each carries 1 Mark] [40]

EM
1. Inside a uniformly charged spherical shell, electric field is ...... and electrostatic potential is ......
(A) equal, zero (B) equal, equal (C) zero, equal (D) zero, zero
2. The line integral of an electric field along the circumference of a circle of radius r, drawn with a point
charge Q at the centre will be ......

AD
1 Q Q
(A) (B) (C) Zero (D) 2pQr
4pe0 r 2 e0r
3. 2C electric charge is displaced from a point of electric potential –20 V to some other point. The work
done is 200 J, then electric potential of second point V2 = ...... volt.

AC
(A) 60 (B) 80 (C) 180 (D) 220
4. A particle having mass m and charge q is at rest. On applying a uniform electric field E on it, it starts
moving. What is its kinetic energy when it travels a distance y in the direction of force ?
(A) qE2y (B) qEy2 (C) qEy (D) q2Ey
5. Which one of the following is not a unit of electric potential ?
E
(A) JC–1 (B) V (C) W (D) NmC–1
6. Give dimensional formula of electric potential.
NC
(A) [M1 L–2 T–3 A–1] (B) [M1 L2 T3 A–1] (C) [M1 L2 T–3 A1] (D) [M1 L2 T–3 A–1]
7. Which of the following graphs represents the variation in electric potential with distance starting
from the center of a uniformly charged spherical shell of radius R ?
V V V
IE

(A) (B) (C) (D)

R r R r R r
SC

8. Two spheres of different radii are given equal amount of charge. The electric potential will be .......
(A) Equal on surface of both spheres (B) More on the surface of larger sphere
(C) More on the surface of smaller sphere (D) Dependent on the mass of spheres
9. What is the diameter of sphere of 4V potential kept near the points situated at same distance from
I

an electron ?
(A) 14.4A° (B) 7.2A° (C) 1.4A° (D) 0.7A°
HD

10. Two metallic spheres of radii R1 and R2 are charged. Now they are brought into contact with each
other with conducting wire and then separated. If the electric fields on their surfaces are E1 and E2
E
respectively, 1 = .........
E2
R R R 22 R 12
MA

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

R1 R2 R 12 R 22
11. Surface charge densities on the spheres of radius r1 and r2 are same, then ratio of their electric
potential will be ...... .
r12 r22 r1 r2
(A) (B) (C) (D)
r22 r12 r2 r1
12. A point P at a certain distance from charge Q has electric potential 600 V and electric field intensity
150 N/C, then distance of point from charge Q is ...... m.
(A) 4 (B) 2 (C) 3.2 (D) 6.5
13. Two spheres of a metal A and B have same radius. Potential on their surface are equal and the charge

Y
is deposited on them till it is possible. If A is hollow and B is solid, then ......
(A) both will have equal and nonzero charge. (B) A will have more charge.

EM
(C) B will have more charge. (D) Both will have zero charge.
14. The radius of a charged hollow sphere is 10 cm. If V is the potential of a point away from 5 cm from
the centre of sphere, then what will be potential of a point 15 cm from the centre of sphere ?
V 2V 3V
(A) (B) (C) (D) 3V
3 3 2

AD
15. If identical charges (– q) are placed at each corner of a cube of side b, then electric potential energy
of charge + q which is placed at centre of the cube will be ......
4q 2 8 2q 2 8 2q 2 4 2q 2
(A) - (B) (C) - (D) -
3pe 0 b 4 pe 0 b pe0b 4 pe 0b

AC
16. Electrostatic potential is ..... physical quantity.
(A) scalar and dimensionless (B) vector and dimensionless
(C) scalar with dimensions (D) vector with dimensions
17. When an electron is brought toward proton, then potential energy of system ...... .
(A) increases (B) decreases
E
(C) remains constant (D) increases initially then decreases.
18. If potential energy of a 5C positive charge is 50 J at a point in electric field, then potential at that point
NC
is ...... .
(A) 0.1 V (B) 5 V (C) 10 V (D) 250 V
19. Kinetic energy of a charged particle decreases by 100 J when it is brought from a point of 100 V
potential to a point of 200 V potential, then charge of particle is ...... C.
IE

(A) 0.1 (B) 1.0 (C) 10 (D) 100

20. A particle having mass 1 g and electric charge 10–8 C travels from a point A having electric potential
600 C to the point B having zero potential. What would be the change in its kinetic energy ?
SC

(A) – 6 ´ 10–6 erg (B) – 6 ´ 10–6 J (C) 6 ´ 10–6 J (D) 6 ´ 10–6 erg
21. Figure shows variation in V with respect to r. Electric field intensity at r = 5 m is ..... .
V Y
(A) 2.5
m 6
V 5
2.5
I

(B) -
V4
m
3
2 V
HD

(C) 2
5 m 1
2 V (0, 0)
1 2 3 4 5 6
X
(D) -
r distance (m)
5 m
22. A particle having mass 1 g and electric charge 10–8C travels from a point A having electric potential
600 V to the point B having zero potential. What would be the change in its kinetic energy ?
MA

(A) –6 ´ 10–6 erg (B) –6 ´ 10–6 J (C) 6 ´ 10–6 J (D) 6 ´ 10–6 erg
23. The electric potential due to a point electric dipole varies as ......... .
1 1 1
(A) (B) 2
(C) 3 (D) r2
r r r
24. Two charges – q and + q are located at points A(0, 0, – a) and B(0, 0, + a) respectively, work done
in moving small test charge from point P(7, 0, 0) to Q(–3, 0, 0) is ...... .
(A) zero (B) – 3 J (C) 4 J (D) 10 J
 Two charges – q and + q are located at points A(0, 0, – a) and B(0, 0, + a) respectively, work done
in moving small test charge from point P(7, 0, 0) to Q(–3, 0, 0) is ...... .
(A) zero (B) – 3 J (C) 4 J (D) 10 J
25. Distance between H+ and Cl– ions in HCl molecule is 1.28 Å, electric potential at 12 Å on axis of
this dipole from its centre is ...... .

Y
(A) 0.13 V (B) 1.3 V (C) 13 V (D) 130 V
26. The dipole moment of a dipole is 4 ´ 10–9 Cm. The potential of a point 0.2 m away from centre of

EM
dipole, on a line making an angle of 60° with the axis of dipole is .........
(A) 4.5V (B) 45V (C) 450V (D) 4500V
27. Length of an electric dipole is 4 cm. Its potential energy U = ...... J when it is placed at 60° with uniform
electric field. Charges are ± 8nC and E = 2.5 ´ 10+10 NC–1.
(A) –4 (B) 2 (C) –8 (D) 6

AD
28. 10 mC charge is placed on each vertex of equilateral triangle of 10 cm side. Electric potential energy of
system is ......
(A) 100 J (B) 27 J (C) zero (D) infinite
29. Potential energy of an electric dipole is minimum (Negatively maximum) when .........

AC
(A) The dipole is perpendicular to the field (B) The dipole is parallel to the field
(C) The dipole is antiparallel to the field. (D) The dipole moment makes 60° with the field.
//72
®
30. In uniform electric field, when dipole is in unstable, equilibrium angle between dipole moment p
®
and electric field E is ...... .
(A) 0 (B) 90°
E (C) 180° (D) 270°
31. A surface, value of electric potential on which is same at all the points, is called ...... surface.
NC
(A) Gaussian (B) Amperian (C) Equipotential (D) Equifield
32. A, B and C points are shown in figure on two equipotential surfaces having value f1 and f2. If work
required to take electron from A to B is 6.4 ´ 10–19 J, then p.d. between A and C points is ...... .
®

(A) 0 E
IE

(B) – 4 V B C

(C) 4 V A
(D) 16 V f1 f2
SC

33. Which of the following atoms has permanent electric dipole moment zero ?
(A) HCl (B) H2O (C) NO2 (D) H2
34. 5 nC and – 2 nC are placed at (2, 0, 0) cm and (x, 0, 0) cm. If potential energy of this system is –
4.5 µJ, then x = ......... cm.
I

(A) 1 (B) 3 (C) 4 (D) 5

HD

35. A B
20 mF C
If equivalent capacitance of given circuit is 15 mF, then C = ...... .
(A) 5 mF (B) 35 mF (C) 50 mF (D) 60 mF
36. By increasing the charge on the plate of capacitor ...........
(A) its capacitance increases (B) p.d. between two plates increases
MA

(C) p.d. (D) both option (A) and (B) increases

37. ) If the charge on capacitor is increased by 5C, the energy stored in the capacitor is increased by 21%,
what will be initial charge on the capacitor ?
(A) 10C (B) 20C (C) 50C (D) 40C
 µC
38. ) If a capacitor having capacitance of 600 µF is charged at a uniform rate of 50 , what is the time required to
s
increase its potential by 10 volts ?
(A) 500 s (B) 6000 s (C) 12 s (D) 120 s
39. ) To get 2F capacitance, the area of each plate kept at separation of 2 mm is ...... .

Y
(e0 = 8.85 ´ 10–12 MKS)
(A) 4 ´ 105 m2 (B) 4.51 ´ 105 m2 (C) 4.51 ´ 108 cm2 (D) 4.51 ´ 108 m2

EM
40. ) If volume of Earth is V and area of Earth is A, then its capacitance will be ......
A V A V
(A) 4p e0 (B) 4p e0 (C) 12p e 0 (D) 12p e 0
V A V A

AD
E AC
IE NC
I SC
HD
MA
 Section [ A ] : 1 Mark MCQ

No Ans Chap Sec Que Universal_QueId

1. C Chap 2 S5 14 QP24P11B1211_P1C2S5Q14
2. C Chap 2 S5 20 QP24P11B1211_P1C2S5Q20
3. B Chap 2 S5 21 QP24P11B1211_P1C2S5Q21
4. C Chap 2 S5 25 QP24P11B1211_P1C2S5Q25
5. C Chap 2 S5 26 QP24P11B1211_P1C2S5Q26
6. D Chap 2 S5 27 QP24P11B1211_P1C2S5Q27
7. A Chap 2 S5 28 QP24P11B1211_P1C2S5Q28
8. C Chap 2 S5 34 QP24P11B1211_P1C2S5Q34
9. B Chap 2 S5 33 QP24P11B1211_P1C2S5Q33
10. A Chap 2 S5 37 QP24P11B1211_P1C2S5Q37
11. C Chap 2 S5 39 QP24P11B1211_P1C2S5Q39
12. A Chap 2 S5 40 QP24P11B1211_P1C2S5Q40
13. A Chap 2 S5 46 QP24P11B1211_P1C2S5Q46
14. B Chap 2 S5 49 QP24P11B1211_P1C2S5Q49
15. A Chap 2 S5 50 QP24P11B1211_P1C2S5Q50
16. C Chap 2 S5 52 QP24P11B1211_P1C2S5Q52
17. B Chap 2 S5 54 QP24P11B1211_P1C2S5Q54
18. C Chap 2 S5 55 QP24P11B1211_P1C2S5Q55
19. B Chap 2 S5 57 QP24P11B1211_P1C2S5Q57
20. C Chap 2 S5 58 QP24P11B1211_P1C2S5Q58
21. A Chap 2 S5 60 QP24P11B1211_P1C2S5Q60
22. C Chap 2 S5 61 QP24P11B1211_P1C2S5Q61
23. B Chap 2 S5 62 QP24P11B1211_P1C2S5Q62
24. A Chap 2 S5 63 QP24P11B1211_P1C2S5Q63
25. A Chap 2 S5 64 QP24P11B1211_P1C2S5Q64
26. C Chap 2 S5 65 QP24P11B1211_P1C2S5Q65
27. A Chap 2 S5 67 QP24P11B1211_P1C2S5Q67
28. B Chap 2 S5 68 QP24P11B1211_P1C2S5Q68
29. B Chap 2 S5 70 QP24P11B1211_P1C2S5Q70
30. C Chap 2 S5 72 QP24P11B1211_P1C2S5Q72
31. C Chap 2 S5 74 QP24P11B1211_P1C2S5Q74
32. C Chap 2 S5 78 QP24P11B1211_P1C2S5Q78

Welcome To Future - Quantum Paper

33. D Chap 2 S5 85 QP24P11B1211_P1C2S5Q85
34. C Chap 2 S5 88 QP24P11B1211_P1C2S5Q88
35. D Chap 2 S5 97 QP24P11B1211_P1C2S5Q97
36. B Chap 2 S5 99 QP24P11B1211_P1C2S5Q99
37. C Chap 2 S5 103 QP24P11B1211_P1C2S5Q103
38. D Chap 2 S5 111 QP24P11B1211_P1C2S5Q111
39. D Chap 2 S5 114 QP24P11B1211_P1C2S5Q114
40. D Chap 2 S5 116 QP24P11B1211_P1C2S5Q116

Welcome To Future - Quantum Paper

Student Name : _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Roll Number : 0 1 2 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9

A B C D A B C D A B C D A B C D
1. 11. 21. 31.
2. 12. 22. 32.
3. 13. 23. 33.
4. 14. 24. 34.
5. 15. 25. 35.
6. 16. 26. 36.
7. 17. 27. 37.
8. 18. 28. 38.
9. 19. 29. 39.
10. 20. 30. 40.

Student Name : _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Roll Number : 0 1 2 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9

A B C D A B C D A B C D A B C D
1. 11. 21. 31.
2. 12. 22. 32.
3. 13. 23. 33.
4. 14. 24. 34.
5. 15. 25. 35.
6. 16. 26. 36.
7. 17. 27. 37.
8. 18. 28. 38.
9. 19. 29. 39.
10. 20. 30. 40.
 OMR ANSWER SHEET

Marks Identifier :

A B C D A B C D A B C D A B C D
1. 11. 21. 31.
2. 12. 22. 32.
3. 13. 23. 33.
4. 14. 24. 34.
5. 15. 25. 35.
6. 16. 26. 36.
7. 17. 27. 37.
8. 18. 28. 38.
9. 19. 29. 39.
10. 20. 30. 40.

OMR ANSWER SHEET

Marks Identifier :

A B C D A B C D A B C D A B C D
1. 11. 21. 31.
2. 12. 22. 32.
3. 13. 23. 33.
4. 14. 24. 34.
5. 15. 25. 35.
6. 16. 26. 36.
7. 17. 27. 37.
8. 18. 28. 38.
9. 19. 29. 39.
10. 20. 30. 40.
 Section A
//X
• Choose correct answer from the given options. [Each carries 1 Mark] [40]
1.

2.

3.

4.

Welcome To Future - Quantum Paper

5.

6.

7.

8.

9.

Welcome To Future - Quantum Paper

10.

11.

12.

Welcome To Future - Quantum Paper

13.

14.

15.

Welcome To Future - Quantum Paper

16.

17.

18.

19.

20.

Welcome To Future - Quantum Paper

21.

22.

23.

24.

Welcome To Future - Quantum Paper

25.

26.

27.

28.

Welcome To Future - Quantum Paper

29.

30.

31.

32.

Welcome To Future - Quantum Paper

33.

34.

35.

36.

37.

Welcome To Future - Quantum Paper

38.

39.

40.

Welcome To Future - Quantum Paper

Welcome To Future - Quantum Paper