Electrostatic Potential and Capacitance Test

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Electrostatic Potential and Capacitance Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

Inside a hollow charged spherical conductor, the potential

A
Is constant

B
Varies directly as the distance from the centre

C
Varies inversely as the distance from the centre

D
Varies inversely as the square of the distance from the centre

Solution

Inside the hollow sphere, at any point the potential is constant.
Question 2
1 / -0

Two small spheres each carrying a charge q is 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 x r

B
Force between them x 2πr

C
Force between them / 2πr

D
Zero

Solution

The force is perpendicular to the displacement.
Question 3
1 / -0

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

Solution

On the equipotential surface, electric field is normal to the charged surface (where potential exists) so that no work will be done.
Question 4
1 / -0

A particle of mass m and charge q is placed at rest in a uniform electric field E and then released. The kinetic energy attained by the particle after moving a distance y is

A
qEy²

B
qE²y

C
qEy

D
q²Ey

Solution

Kinetic energy = Force x Displacement = qEy
Question 5
1 / -0

A proton is accelerated through 50,000 V. Its energy will increase by

A
5000eV

B
8 × 10⁻¹⁵J

C
5000J

D
50000J

Solution

Kinetic energy K = Q.V ⇒ K = (+e) (50000V)

= 50000eV = 50000 x 1.6 x 10¹⁹J

= 8 × 10⁻¹⁵J
Question 6
1 / -0

Potential at a point x-distance from the centre inside the conducting sphere of radius R and charged with charge Q is

A
Q/R

B
Q/x

C
Q/x²

D
xQ

Solution

Potential at any point inside the charged spherical conductor equals to the potential at the surface of the conductor i.e. Q/R.

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Re-Attempt Weekly Quiz Competition

Electrostatic Potential and Capacitance Test - 16

Result

Electrostatic Potential and Capacitance Test - 16

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SHARING IS CARING

Question 1

Is constant

Varies directly as the distance from the centre

Varies inversely as the distance from the centre

Varies inversely as the square of the distance from the centre

Solution

Question 2

Force between them x r

Force between them x 2πr

Force between them / 2πr

Zero

Solution

Question 3

Work is done on the charge

Work is done by the charge

Work done is constant

No work is done

Solution

Question 4

qEy2

qE2y

qEy

q2Ey

Solution

Question 5

5000eV

8 × 10−15J

5000J

50000J

Solution

Question 6

Q/R

Q/x

Q/x2

xQ

Solution

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qEy²

qE²y

q²Ey

8 × 10⁻¹⁵J

Q/x²