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NCERT Solutions for class 12 Physics | Chapter 2 - Electrostatic Potential Capacitance

(1) What is the number of electrons in 100 g water?
[A] 3.35 × 1024
[B] 3.35 × 1025
[C] 6.02 × 1023
[D] None of these
Answer: 3.35 × 1024
(2) The electric potential of earth is taken as:
[A] zero
[B] infinity
[C] unity
[D] None of these
Answer: zero

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(3) Which of the following statement is true?
[A] Electrostatic force is a conservative force.
[B] Potential at a point is the work done per unit charge in bringing a charge from any point to infinity.
[C] Electrostatic force is non-conservative
[D] Potential is the productof charge and work.
Answer: Electrostatic force is a conservative force.
(4) A capacitor is charged by using a battery which is then disconnected. A dielectric slab then slipped between the plates, which results in
[A] reduction of charge on the plates and increase of potential difference across the plates.
[B] increase in the potential difference across the plate, reduction in stored energy, but no change in the charge on the plates.
[C] decrease in the potential difference across the plates, reduction in the stored energy, but no change in the charge on the plates.
[D] none of these
Answer: decrease in the potential difference across the plates, reduction in the stored energy, but no change in the charge on the plates.
(5) The work done in bringing a unit positive charge from infinite distance to a point at distance x from a positive charge Q is W. Then the potential at that point is
[A] WQ/x
[B] W
[C] W/x
[D] WQ
Answer: W
(6) Acapacitor of 4 pF is connected as shown in the circuit. The internal resistance of the battery is 0.5

Q. The amount of charge on the capacitor plates will be

[A] 0
[B] 4
[C] 16 μC
[D] 8 μC
Answer: 8 μC
(7) Two metal plates form a parallel plate capacitor. The distance between the plates is d. A metal sheet of thickness d/2 and of the same area is introduced between the plates. What is the ratio of the capacitance in the two cases?
[A] 2 : 1
[B] 3 : 1
[C] 2 : 1
[D] 5 : 1
Answer: 2 : 1
(8) Three charges Q, +q and +q are placed at the vertices of an equilateral triangle of side l as shown in the figure. If the net electrostatic energy of the system is zero, then Q is equal to

[A] -q
[B] +q
[C] zero
[D] –q/2
Answer: –q/2
(9) A parallel plate condenser is connected with the terminals of a battery. The distance between the plates is 6mm. If a glass plate (dielectric constant K = 9) of 4.5 mm is introduced between them, then the capacity will become
[A] 2 times.
[B] the same.
[C] 3 times.
[D] 4 times.
Answer: 3 times.
(10) The radii of two metallic spheres A and B are r1 and r2 respectively (r1 > r2). They are connected by a thin wire and the system is given a certain charge. The charge will be greater
[A] on the surface of the sphere B.
[B] on the surface of the sphere A.
[C] equal on both.
[D] zero on both.
Answer: on the surface of the sphere A.
(11) 64 drops each having the capacity C and potential V are combined to form a big drop. If the charge on the small drop is q, then the charge on the big drop will be
[A] 2q
[B] 4q
[C] 16q
[D] 64q
Answer: 64q
(12) Two small spheres each carrying a charge q are placed r metre apart. If one of the spheres is taken around the other one in a circular path of radius r, the work done will be equal to
[A] force between them × r
[B] force between them × 2πr
[C] force between them/2πr
[D] zero
Answer: zero
(13) If a unit positive charge is taken from one point to another over an equipotential surface, then
[A] work is done on the charge.
[B] work is done by the charge.
[C] work done is constant.
[D] no work is done.
Answer: no work is done.
(14) The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is
[A] proportional to the square root of the distance between the plates.
[B] linearly proportional to the distance between the plates.
[C] independent of the distance between the plates.
[D] inversely proportional to the distance between the plates.
Answer: independent of the distance between the plates.
(15) Which of the following options are correct? If a conductor has a potential V 4- 0 and there are no charges anywhere else outside, then
[A] there must not be charges on the surface or inside itself.
[B] there cannot be any charge in the body of the conductor.
[C] there must be charges only on the surface.
[D] there must be charges inside the surface.
Answer: there cannot be any charge in the body of the conductor.
(16) Which of the following options is correct? In a region of constant potential
[A] the electric field is uniform.
[B] the electric field is zero.
[C] there can be charge inside the regiofi.
[D] the electric field shall necessarily change if a charge is placed outside the region.
Answer: the electric field is zero.
(17) v Figure shows the electric lines of force emerging from a charged body. If the electric field at A and B are EA and EB respectively and if the displacement between A and B is r then

[A] EA > EB
[B] EA < EB
[C] EA = EB/r
[D] EA = EB /r²
Answer: EA > EB
(18) A conductor with a positive charge
[A] is always at +ve potential.
[B] is always at zero potential.
[C] is always at negative potential.
[D] may be at +ve, zero or -ve potential.
Answer: may be at +ve, zero or -ve potential.
(19) A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system
[A] increases by a factor of 4.
[B] decreases by a factor of 2.
[C] remains the same.
[D] increases by a factor of 2.
Answer: decreases by a factor of 2.
(20) A hollow metal sphere of radius 5 cm is charged so that the potential on its surface is 10 V. The potential at the centre of the sphere is
[A] 0 V
[B] 10 V
[C] Same as at point 5 cm away from the surface
[D] Same as at point 25 cm away from the surface
Answer: 10 V

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