Two spheres A and B of radius 4 cm and 6 cm are given charges of 80 μc and 40μc respectively. If they are connected by a fine wire, the amount of charge flowing from one to the other is -

(1) 20μc from A to B

(2) 16μc from A to B

(3) 32μc from B to A

(4) 32μc from A to B

Subtopic:  Electric Potential |
 60%
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On rotating a point charge having a charge q around a charge Q in a circle of radius r. The work done will be 

(1) q×2πr

(2) q×2πQr

(3) Zero

(4) Q2ε0r

Subtopic:  Equipotential Surfaces |
 88%
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In the figure the charge Q is at the centre of the circle. Work done is maximum when another charge is taken from point P to

(1) K

(2) L

(3) M

(4) N

Subtopic:  Electric Potential |
 74%
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Two insulated charged conducting spheres of radii 20 cm and 15 cm respectively and having an equal charge of 10 C are connected by a copper wire and then they are separated. Then -

(1) Both the spheres will have the same charge of 10 C

(2) Surface charge density on the 20 cm sphere will be greater than that on the 15 cm sphere

(3) Surface charge density on the 15 cm sphere will be greater than that on the 20 cm sphere

(4) Surface charge density on the two spheres will be equal

Subtopic:  Electric Potential |
 65%
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Two equal charges q are placed at a distance of 2a and a third charge –2q is placed at the midpoint. The potential energy of the system is -

(1) q28πε0a

(2) 6q28πε0a

(3) 7q28πε0a

(4) 9q28πε0a

Subtopic:  Electric Potential Energy |
 71%
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How much kinetic energy will be gained by an \(\alpha\text-\text{particle}\) in going from a point at \(70~\text{V}\) to another point at \(50~\text{V}\)?

1. \(40~\text{eV}\) 2. \(40~\text{keV}\)
3. \(40~\text{MeV}\) 4. 0

Subtopic:  Electric Potential |
 79%
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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 -

(1) 82q24πε0b

(2) 82q2πε0b

(3) 42q2πε0b

(4) 4q23πε0b

Subtopic:  Electric Potential Energy |
 58%
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Equipotential surfaces associated with an electric field which is increasing in magnitude along the x-direction are 

(1) Planes parallel to yz-plane

(2) Planes parallel to xy-plane

(3) Planes parallel to xz-plane

(4) Coaxial cylinders of increasing radii around the x-axis

Subtopic:  Equipotential Surfaces |
 76%
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A parallel plate condenser has a capacitance \(50~\mu\text{F}\) in air and \(110~\mu\text{F}\) when immersed in an oil. The dielectric constant \(k\) of the oil is: 
1. \(0.45\)
2. \(0.55\)
3. \(1.10\)
4. \(2.20\)

Subtopic:  Dielectrics in Capacitors |
 79%
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Separation between the plates of a parallel plate capacitor is d and the area of each plate is A. When a slab of material of dielectric constant k and thickness t(t < d) is introduced between the plates, its capacitance becomes -

(1) ε0Ad+t11k

(2) ε0Ad+t1+1k

(3) ε0Ad-t11k

(4) ε0Ad-t1+1k

Subtopic:  Dielectrics in Capacitors |
 68%
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