1. The Question paper contains three sections.

2. Section A has 25 questions. Attempt any 20 questions.

3. Section B has 24 questions. Attempt any 20 questions.
4. Section C has 6 questions. Attempt any 5 questions.
5. All questions carry equal marks.
6. There is no negative marking.

SECTIONA
This section consists of 25 multiple choice questions with overall choice to attemptany 20
questions. In case more than desirable number of questions is attempted,onlyfirst
20willbeconsidered forevaluation.

1. TheSIunitofelectricdipolemoment is

(a) C
(b) Cm−1
(c) Cm−1
(d) Nm−1

2. Twochargesof2µcand5µcareplaced2.5cmapart.TheratiooftheCoulomb’sforceexperie
ncedbythem is

(a)1∶1

(b) 2:5

(c) √2 : √5

(d) 4 : 25

3. A point charge q is placed at a distance a/2 directly above the center of a square of side a.
The electric flux through the square is
(a) q/ε0 (b) q/πε0 (c) q/4ε0 (d) q/6ε0
4. A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is
10 V. The potential at the centre of the sphere is
(a) Zero
(b) 10 V
(c) same as at a point 5cm away from the surface
(d) same as at a point 25cm away from the surface

5. A parallel plate capacitor is charged from a battery. After charging the battery
isdisconnected.Whichofthefollowingincreaseswhentheplatesofcapacitoraremovedapa
rt

(a) Charge
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 (b) Capacitance
(c) Potential
(d) None of these

6. Which of the following factor does not affect the capacitance of a capacitor?

(a) Area of the plates

(b) Curvature of the plates
(c) Material of the plates
(d) Distance between the plates

7. SI unit of the current density is

(a) A
(b) Am2
(c) Kg3
m

(d) Jm
8. The resistance of an aluminum wire is r. It is stretched to n times its original length. Its
new resistance will be

(a)
(b) 2

2
(c)

(d)
2

9. The potential difference across the conductor is doubled. Then the ratio of generation of
heat will

(a) Be doubled.
(b) Be halved.
(c) Become one fourth.
(d) Become four times.

10. Four equal resistances when connected in series dissipate 5 W of power. If they
are connected in parallel, the power dissipation will be

(a) 40W
(b) 25W
(c) 60W
(d) 80W

11. A cell of emf 2V, when short circuited gives a current of 4A. What is the internal
resistance of the cell?
2
 (a) 2Ω
(b) 3Ω
(c) 1Ω
2

(d) 1Ω
3

12. A potential gradient of 10 V/m along a wire of length 1m. What is the potential
difference across the two points separated by 20 cm on the wire?

(a) 2V
(b) 3V
(c) 4V
(d) 5V
13. 1T is equal to
(a) 1NAm
(b) 1NA−1m
(c) 1NA−1m
(d) 1NAm−1

14. A proton and an electron enter a magnetic field normally with equal initial velocities.
Which one of them will experience the greater force?

(a) Proton
(b) Electron
(c) Both will experience the same force
(d) Nothing can be decided

15. The torque acting on a magnetic dipole of moment Pmwhen placed in a magnetic field is

(a) PmB
(b) Pmˉ×Bˉ
(c) Pmˉ.Bˉ
(d) Pm/B
16. A galvanometer may be converted into ammeter or voltmeter. In which of the
following cases the resistance of the device will be the largest

(a) Ammeter o frange10A

(b) Ammeter of range1 A
(c) Voltmeter of range 1V
(d) Voltmeter of range10V

17. A current loop placed in a non-uniform magnetic field experiences

(a) A force of repulsion

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 (b) A force of attraction
(c) A torque but no force
(d) A torque and a force

18. Biot-Savart law indicates that the moving electrons (with velocities v) produces a
magnetic field such that

(a) Magnetic field is perpendicular to velocity

(b) Magnetic field is parallel to velocity to velocity
(c) It obeys the inverse square law
(d) It is along the line joining the electron and point of observation
19. If at a certain place on the Earth BH=√3BV, what is the angle of dip at that place?
(a) 0°
(b)90°
(c)60°
(d)30°

20. If an increasing current is flowing from A to B as shown in the figure. The direction of
current in the loop is

(a) Straight line

(b) Clockwise
(c) Anti-clockwise
(d) No induced current

21. The role of inductance is equivalent to

(a) Inertia
(b) Force
(c) Energy
(d) Momentum

22. In a dead beat galvanometer, the coil is wound on a frame of a

(a) Magnetic material

(b) Good conductor
(c) Bad conductor
(d) Non-magnetic material

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23. Alternating voltage V = 400sin(500πt) is applied across the resistance of 0.2kΩ. The rms
value of current is equal to

(a)14.14A
(b)1.414A
(c)0.1414A
(d)2.0A
24. The V-I graph for a conductor at temperature T1 and T2 are shown in figure, then

(a) T1=T2
(b) T1<T2
(c) T1>T2
(d) Nothing can be decided.

25. What is the equivalent capacitance of a combination shown in the figure?

(a) C
(b) C/2
(c) 2C
(d) 4C
SECTION B
This section consists of 24 multiple choice questions with overall choice to attempt any 20
questions. In case more than desirable numbers of questions are attempted, ONLY first 20
will be considered for evaluation.

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26. A cylinder of radius R and length L is placed in a uniform electric field E parallel to
the cylinder axis. The total flux for the surface of the cylinder is given by

(a) 2πR2E
(b) πR2/E
πR
(c) πR2−
E

(d) zero
27. A charge q is placed at the centre of the line joining two equal charges Q. The system of
the three charges will be in equilibrium if q is equal to:
(a) −2Q

(b) −4Q

(c) +4Q

(d) +2Q

28. Two parallel large thin metal sheets have equal surface charge densities
(σ=26.4×10–12c/m2) of opposite signs. The electric field between these sheets is:

(a) 1.5N/C
(b)1.5×1016N/C
(c)3×1010N/C
(d)3N/C

29. The electric field at the centroid of an equilateral triangle carrying an equal charge q at
each of the vertices is

(a)√2
2

(b)
√2 2

3
(c)
2

(d)Zero

30. A parallel plate capacitor has a capacitance of 50pf in air and 105pf when immersed
in oil. The dielectric constant of the oil is given by

(a)10/21
(b)1
(c)2.1
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 (d)Infinity
31. The core of the transfer is laminated so as to
(a) Reduce the energy loss due to eddy currents
(b) Make the light weight
(c) Make at robust and strong
(d) Increase the secondary voltage
32. The phase difference between the alternating current and emf is π/2. Which of the
following cannot be the constituent of the circuit?
(a) C alone
(b) L alone
(c) L and C
(d) R and L
33. 33. While keeping area of cross section of a solenoid same, number of turns and length of
solenoid are both doubled. The self-inductance of the solenoid will be
(a) Halved
(b) Doubled
(c) ¼ times the original value
(d) Unaffected
34. 1 Henry is equal to
(a) Weber/ampere
(b) Weber/volt
(c) Weber ampere
(d) None of the above
35. A circular coil of radius 4 cm and 20 turns carries a current of 3 ampere. It is placed in
amagneticfieldofintensityof0.5 Web/m2.The magnetic dipole moment of the coil is

(a)0.15Am−2
(b)0.3Am2
(c)0.45A m2
(d)0.6 Am2
36. Sensitivityofthemovingcoilgalvanometercanbeincreasedbydecreasing
(a) Number of turns
(b) Area of the coil
(c) Magnetic field
(d) Restoring torque per unit twist of suspension
37. Magnetic field near a current carrying conductor is given by
(a) Coulomb’s law
(b) Lenz’s law
(c) Biot–Savart law
(d) Kirchhoff’s law
38. An external resistance R is connected to a cell of internal resistance r. The current in the
circuit will be maximum for
(a) R>r
(b) R<r
(c) R=0
(d) R≥r
39. Which of the following can be used to express energy? The symbol have their usual
meaning
(a) Wh
(b) VC
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 (c) VAS2
(d) A2WS2
40. The electric potential V at any point (x, y, z), all in meters in space is given by V=4x2 volt.
The electric field at the point (1, 0, 2) in volt/meter, is:
(a) 8 along negative X-axis
(b) 8 along positive X-axis
(c) 16 along negative X-axis
(d) 16 along positive X-axis
41. Inairthevalueofthetotalelectricfluxemittedfromunitpositivechargeis
(a) 0
(b)( 0)−1
(c)(4 0)−1
(d)4 0
42. In an L.C.R circuit, capacitance is changed from C to 2C. For the resonant frequency to
remain unchanged the inductor should be changed from L to
(a) 4L
(b) 2L
(c) L/2
(d) L/4

43. In a coil of resistance 10Ω the induced current developed by changing magnitude of
change influx through the coil is Weber

(a) 8
(b) 2
(c) 6
(d) 4

44. What is the equivalent resistance between the points A and B?

(a) 4.5Ω
(b) 7.5Ω
(c) 12Ω
(d) Infinity

For question numbers 45 to 49, two statements are given-one labeled Assertion (A) and the
other labeled Reason (R). Select the correct answer to these questions from the codes (a),
(b), (c) and (d) as given below.
(a) Both A and R is true and R is the correct explanation of A
(b) Both A and R is true but R is NOT the correct explanation of A
(c) A is true but R is false
(d) A is false and R is also false
45. Assertion (A): To increase the range of an ammeter, we must connect a suitable high resistance
in series to it.
Reason (R): The ammeter with increased range should have high resistance.
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46. Assertion (A): A magnetic needle free to rotate in a vertical plane, orients itself (with its axis)
vertical at the poles of the earth.
Reason (R): At the poles of the earth the horizontal component of earth's magnetic field will be
zero.
47. Assertion: Electric lines of force never cross each other. Reason: Electric field at a point
superimposes to give one resultant electric field.
48. Assertion (A): A magnet of magnetic moment 3 Am2 is held inside a cube of edge 2 m. The
magnetic flux coming out of the cube will be zero.
Reason(R): This is in according with Gauss‘s theorem in magnetism.
49. Assertion: When radius of a circular wire carrying current is doubled, its magnetic moment
becomes four times
Reason: Magnetic moment is directly proportional to area of the loop

SECTION C
This section consists of 6 multiple choice questions with an overall choice to attempt
any 5. In case more than desirable numbers of questions are attempted, ONLY first 5
will be considered for evaluation.

50. Consider the charge configuration and a spherical Gaussian surface as shown in the
figure. When calculating the flux of the electric field over the spherical surface, the
electric field will be?

a. Q2
b. Only the positive charges
c. All charges
(d)+Q1and-Q1

51. Four metal conductors having the different shapes are mounted on insulating stands
and charged. The one which is best suited to retain the charges for a longer time is

(a) A sphere
(b) Cylinder
(c) Pear
(d) Lighting conductor
CASE STUDY:
Read the following paragraph and answers the questions:

Alternating current (AC) is generated in the hilly regions by employing natural flowing water in
the rivers (HYDROELEDTRIC POWER HOUSES). Due to demand for consumption at remotes
places, transmission of electricity is always done at the highest possible voltage. For small
distance it may be 11 kV. When the distance is large, the transmission is done at132 kV. Since
this voltage transmission can only be done with transformer, we have to use alternating current
only. A transformer is essentially an AC device. Thus, all household electricity is 220volt
alternating current.
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52. The best material for the core of a transformer is

(a) Stain less steel

(b) Mild steel

(c) Hard steel

(d) Soft core

53. We need to step-up the voltage for power transmission, so that

(i) the current is reduced and consequently, the I2R loss is cut down

(ii) the voltage is increased , the power losses are also increased

(iii) the power is increased before transmission is done

(iv) the voltage is decreased so V2 /R losses are reduced

54. A power transmission line feeds input at 2200 V to a step-down transformer with its
primary windings having 3000 turns. find the number of turns in the secondary to get the
power input at 220 V.

(a)150

(b)200

(c)250

(d)300

55. If the supply frequency of a transformer increases, the secondary output voltage of the
transformer

(a) Increase

(b) Decrease

(c) Remain the same

(d) Any of the above

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 AnswerKey
1 c 2 a 3 d 4 b 5 c 6 c
7 b 8 b 9 d 10 d 11 c 12 a
13 d 14 c 15 b 16 d 17 d 18 a
19 d 20 b 21 a 22 b 23 b 24 c
25 a 26 d 27 b 28 d 29 d 30 c
31 a 32 c 33 b 34 a 35 a 36 A
37 c 38 c 39 b 40 a 41 b 42 c
43 b 44 a 45 d 46 a 47 d 48 a
49 b 50 c 51 a 52 d 53 a 54 d
55 c

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