[AITS-01 | 12th-NEET | 15-09-2024]

Electric Charges and Fields, Electrostatic Potential and Capacitance, Current Electricity, Moving Charges and Magnetism

PHY - LT - CT QP
(PHYSICS)
SECTION-A 5. Choose the correct option regarding charge on a
body:
1. A charged parallel plate capacitor is enclosed inside
(1) Amount of charge on a body does not change
a spherical closed surface as shown in figure. The
whether the body is at rest or in motion.
net electric flux through the spherical surface is:
(2) Electric charge on a body is quantized.
(3) When a body is given a positive charge, its
mass increases slightly.
(4) Both (1) and (2)

6. Which graph best represent the relationship between

the length of a conducting wire with its resistivity?

(1) 107 V-m

(2) 106 V-m
(3) 103 V-m (1)
(4) Zero

2. Magnetic field at the centre of a single current

carrying circular loop is B. If current i is flowing in
the loop, then area of loop is (symbols have their (2)
usual meaning)
0i 2 20i 2
(1) (2)
2 B2 4B2
02i 2 02i 2
(3) (4)
4B2 2B2 (3)

3. When 2 mA and 4 mA current passes through two

galvanometers P and Q respectively, they produce
same deflection of 20 divisions on scale. Which
galvanometer has more current sensitivity?
(4)
(1) galvanometer P
(2) galvanometer Q
(3) Both are equally sensitive
(4) Data insufficient to compare current
7. Consider points A, B, C and D in a region of uniform
sensitivity.
electric field E as shown in figure. The value of
electric potential is:
4. The equivalent capacitance of the circuit shown in
the figure between terminals A and B is x. The value
of 3x is:

(1) Maximum at D
2C (2) Minimum at C
(1) (2) C
3 (3) Same at all points
C (4) Maximum at A
(3) 3C (4)
3
8. Current i1, i2 and i3 are flowing in a straight wire 12. Two long parallel wires in same plane are carrying
segments AB, CD and EF respectively in x-y plane electric current of equal magnitude but in the
as shown in figure. opposite directions. Both wires will exert:
(1) an attractive force on each other
(2) a repulsive force on each other
(3) no force on each other
(4) Data insufficient

13. A 50N constant force is acting on a positively

charged small block of mass 10 kg which is placed
in a region of uniform electrostatic field E = 200 N/C
on a smooth horizontal surface as shown in figure.
If block is in static equilibrium, what is the
magnitude of charge on block?
The magnetic field due to all current carrying wires
at point O will be:
(1) along –x axis (2) along –z axis
(3) along + y axis (4) Zero

3R (1) 0.5 C
9. The magnitude of electric field at a distance (2) 1C
2
from centre of a charged conducting spherical shell (3) 0.25 C
of radius R is E. The magnitude of electric field at a (4) 0.75 C
11R
distance from the centre of this spherical shell 14. Electric potential along x-axis in a region of space is
13
is: given by V = (6x2 + 5x + 1) volt (where x is in meter).
(1) Zero (2) E The electric field (in N/C) at x = 2m is:
11E E (1) −29iˆ (2) 29iˆ
(3) (4)
13 13 (3) −17iˆ (4) 17iˆ

10. A uniform electrostatic field is present in a region of 15. Bulbs B1 and B2 are rated as (100V, 50W) and (50V,
space. A point charge q is moved from A to B via 3 50W) respectively. They are connected in parallel
different paths as shown. If W1, W2 and W3 represent across a constant voltage supply V. Both bulb B1
the work done by electrostatic force along the and B2 will get fused if V is equal to:
respective path, then

(1) W1 > W2 > W3 (2) W1 = W2 = W3

(1) 70 volt
(3) W2 > W1 > W3 (4) W1 < W2 < W3
(2) 30 volt
(3) 120 volt
11. Figure shows the part of an electric circuit. What is
(4) 90 volt
the value of current i in branch EF?

16. A long solenoid has 300 turns per meter of its

length. If the current in the solenoid is 2A, then the
magnetic field at the centre of the solenoid will be
approximately:
(1) 0.76 mT (2) 0.38 mT
(1) 4A (2) 2A
(3) 0.12 mT (4) 1.56 mT
(3) 6A (4) 5A
17. The magnitude of electric field due to short electric 21. Two point charges +2 µC and –50 µC are placed
dipole of dipole moment p at point M as shown 80 cm apart. Calculate the distance of the point from
below is: (symbols have their usual meaning) the negative charge on line joining both the charges
where the net electric field is zero.
(1) 20 cm (2) 30 cm
(3) 100 cm (4) 5 cm

22. In the meter bridge, galvanometer shows zero

deflection if the balancing length AB = 40 cm. The
ratio of resistance X and Y is:

2kp kp
(1) (2)
r3 r3
2kp 3kp
(3) (4)
r3 r3

18. The capacitance of a charged spherical capacitor is

10 pF. The radius of capacitor is: (1pF = 10–12F)
(1) 3 cm (2) 6 cm
4 4
(3) 4 cm (4) 9 cm (1) (2)
3 5
19. A finite conducting wire XY carries a current I. The 1 2
(3) (4)
2 3
magnetic field dB due to infinitesimal element dl
of the conducting wire at a point P as shown in
23. A charged particle of charge q and mass m is
figure is:
projected with speed v in a uniform transverse
magnetic field B. The angular speed of the particle
moving in circular path in magnetic field is:
B qB
(1) (2)
qm m
2qB B
(3) (4)
m 2qm

24. Three point charges q, q and –2q are placed at the

corners of an equilateral triangle of side L. Calculate
0 2  dl  r  the work done by external force in moving all the
(1) dB = i  
4  r  charges slowly to infinity is:

  dl  r  1 3q 2 1 3q 2
(2) dB = 0 i  3  (1) (2) −
4  r  40 L 40 L

  dl  r 
1 5q 2 1 5q 2
(3) (4) −
(3) dB = 0 i   40 L 40 L
4  r 
0 2  dl  r  25. A D.C. circuit is shown in figure. Power loss across
(4) dB = i  
4  r 2  which resistance is maximum?

20. Choose the correct statements regarding use of

good ammeter and voltmeter as a measuring device
in a circuit.
A. An ammeter should have small resistance.
B. An ammeter should have large resistance.
C. A voltmeter should have small resistance.
(1) 2 (2) 6
(1) A only (2) B and C only
(3) A and C only (4) B only (3) 3 (4) 5
26. Two wires with currents 3A and 2A are enclosed in 31. V and 2V be the electric potential at the centre of
a circular loop. Another wire with current 4A is hollow charged sphere and solid non-conducting
situated outside the loop as shown. The value of uniformly charged sphere respectively, then the
 B . dl around the loop is: (symbol have their usual ratio of their radii if both sphere have same net
meaning) charge is:
4 1
(1) (2)
3 2
1 3
(3) (4)
3 2

32. A charged particle moves in a circle perpendicular

(1) µ0 (2) 3µ0 to uniform magnetic field. The time period of
(3) 6µ0 (4) 2µ0 revolution of particle is independent of
(1) Magnetic field
27. Four-point charges –Q, 4q, 2q and 3Q are placed, (2) Charge of particle
one at each corner of a square. The relation between (3) Mass of the particle
Q and q for which the potential at the centre of the (4) Speed of the particle
square is zero is:
(1) Q = –2q (2) Q = –3q
33. At what distance from the centre of a uniformly
(3) Q = +2q (4) Q = +3q
charged ring along its axis, electric field is
maximum?
28. If a wire of resistance R is compressed such that its
new length becomes 80% of its original length, then
resistance of wire will decrease by:
(1) 64% (2) 36%
(3) 20% (4) 80%

29. Current i is flowing in a given shape of conducting

wire ABCDE which consist of straight segments and
circular arcs as shown in figure. The magnitude of
magnetic field at point A is: (symbols have their 10
(1) cm
usual meaning,  is in radians) 2
10
(2) cm
2 2
(3) 3 2 cm
1
(4) cm
2

 0 i  0 i 34. Three resistance each of 2 are connected to form

(1) (2)
2R 4R a triangle. The equivalent resistance between any
 0 i two corners of the triangle is:
(3) (4) 0
8R 4
(1)  (2) 4
3
30. Consider the circuit as shown in the following 3
figure. The current through the resistor R1 (3)  (4) 2
4
immediately after closing the switch is:
35. An electric dipole is kept in uniform electric field
such that it has maximum electrostatic potential
energy. The angle between electric dipole moment
and electric field is:
(1) 0° (2) 90°
(1) 6A (2) 4A (3) 180° (4) 45°
(3) 1A (4) 2A
 SECTION-B (1) A - IV; B - II; C - I; D - III
(2) A - I; B - III; C - II; D - IV
36. Torque acting on an electric dipole of dipole
(3) A - III; B - I; C - IV; D - II
moment p = (3iˆ) C-m placed in a uniform electric (4) A - IV; B - I; C - II; D - III
field is −12kˆ Nm. The electric field in (N/C) in the
region is: 39. Two positive point charges q1 and q2 having mass
(1) −4 ˆj (2) 4 ˆj m1 and m2 respectively are suspended from a
common point by strings of equal length as shown in
(3) 2kˆ (4) −8 ˆj figure. If q1 < q2 and m1 = m2, then at equilibrium
condition, which of the following relation between
37. A small positive charge of 6C is moved slowly angle  and  is correct?
along the uniform electric field E from point A to
point B by some external agent. If work done by
external agent in moving the charge is –50 Joule,
then potential difference (VA – VB) is:

(1)   
25 25 (2)   
(1) − V (2) V
3 3
(3)  = 
50 50
(3) V (4) − V (4) Data insufficient
3 3
40. Eight positive point charges each of magnitude 2q
38. Current i is flowing in a circuit as shown in figure. are placed on a circle of radius R such that they are
equally spaced as shown in figure. The magnitude
of electrostatic force experienced by charge particle
Q placed at center O is:

Internal resistance of cell A and cell B are 2 and

4 respectively. Match List-I (current and potential
difference) with List-II (numeric value).

List-I List-II 16kQq 2kQq

(1) (2)
(A) Current i in the circuit (I) 14 R2 R2
(in ampere) 8kQq
(3) 0 (4)
(B) Terminal potential (II) 3 R2
difference across cell
A (in volt) 41. An electric dipole is placed in a uniform
(C) Potential difference (III) 11 electrostatic field, then
across 14 resistance (1) It always experience a zero torque.
(in volt) (2) It always experience a zero net force.
(3) It may or may not experience any torque
(D) Terminal potential (IV) 1
depending on the orientation of electric dipole
difference across cell
in the field.
B (in volt)
(4) Both (2) and (3)
42. A parallel plate capacitor of capacitance C is shown 46. Statement I: When a charged particle with speed v
in figure. enters in a uniform transverse magnetic field, the
linear momentum of charged particle moving inside
the field remains constant.
Statement II: When a charged particle moves in a
circle in uniform transverse magnetic field, work
done by magnetic force on moving charged particle
Initially E is the electric field between the plates of is positive.
the capacitor. If battery remains connected and (1) Statement I and Statement II both are correct.
separation between the plates is doubled, new (2) Statement I is correct but Statement II is
electric field between the plates is: incorrect.
(3) Statement I is incorrect but Statement II is
E
(1) (2) E correct.
2 (4) Statement I and Statement II both are incorrect.
E
(3) 2E (4)
3 47. An uncharged capacitor of capacitance 2C is
connected to a V-volt battery, as shown. The work
43. A bent wire shown in figure carries a current i and done by battery in fully charging the capacitor is:
is placed in a uniform magnetic field B that
emerges outward from the plane of the figure.
Calculate the magnitude of force acting on the wire.
2 2
(1) CV (2) 2CV
1 5
(3) CV 2 (4) CV 2
2 2

48. A constant current i is flowing along the length of a

(1) 4BiR (2) 2BiR non-uniform cross-section of conducting wire as
(3) 3BiR (4) BiR shown in figure.

44. The given figure shows, two infinitely large parallel

thin sheets A and B of surface charge densities +
and – respectively. Electric field will be zero in the
region: The current density along wire in moving from A to
B is:
(1) first increases then decreases.
(2) first decreases then increases.
(3) remains constant.
(4) initially increases then becomes constant.

(1) I only 49. A charge q is initially (at t = 0 s) moving with a

(2) II only velocity v = (3iˆ) m/s. If magnetic field and electric
(3) III only
field in the region is (5 ˆj) Tesla and (−15kˆ) N/C
(4) Both (1) & (3)
respectively, then velocity (in m/s) of charge q at
t = 3 s is:
45. Value of current i shown in the given circuit is:
(1) zero (2) −5 ˆj
(3) 15kˆ (4) 3iˆ

50. A heater coil is rated 100 W, 220 V. It is cut into

two identical parts. Both parts are connected
together in parallel to the common source of 220 V.
The energy liberated per second in the new
combination is:
(1) 50 W (2) 100 W
(1) 1 A (2) 1.6 A (3) 200 W (4) 400 W
(3) 2 A (4) 2.4 A