Electrostatic Potential and Capacitance Quiz Set-2

Question 1

Which of the following quantities is a scalar?

Accepted Answer

Electric potential

Answer

Electric field intensity

Answer

Electric flux

Answer

Electric dipole moment

Question 2

The electric potential inside a conducting sphere of radius $R$ carrying a charge $Q$ is:

Accepted Answer

Same as that on the surface

Answer

Zero

Answer

Inversely proportional to distance from center

Answer

Directly proportional to distance from center

Question 3

Work done in moving a positive charge on an equipotential surface is:

Accepted Answer

Zero

Answer

Finite and positive

Answer

Finite and negative

Answer

Infinite

Question 4

A capacitor is connected to a battery. If a dielectric slab of dielectric constant $K$ is inserted between the plates while the battery remains connected, which quantity remains constant?

Accepted Answer

Potential difference

Answer

Charge

Answer

Capacitance

Answer

Energy stored

Question 5

The electrostatic potential on the perpendicular bisector of an electric dipole is:

Accepted Answer

Zero

Answer

$\frac{1}{4\pi\epsilon_0} \frac{p}{r^2}$

Answer

$\frac{1}{4\pi\epsilon_0} \frac{p}{r}$

Answer

Infinite

Question 6

Which of the following graphs correctly represents the variation of electric potential $V$ with distance $r$ for a point charge?

Accepted Answer

$V \propto 1/r$

Answer

$V \propto r$

Answer

$V \propto r^2$

Answer

$V \propto 1/r^2$

Question 7

A proton moves from a region of higher potential to a region of lower potential. Its electric potential energy:

Accepted Answer

Decreases

Answer

Increases

Answer

Remains the same

Answer

Becomes zero

Question 8

The energy stored per unit volume (energy density) in a parallel plate capacitor is given by:

Accepted Answer

$\frac{1}{2} \epsilon_0 E^2$

Answer

$\frac{1}{2} \epsilon_0^2 E$

Answer

$\epsilon_0 E^2$

Answer

$\frac{E^2}{2\epsilon_0}$

Question 9

Two conducting spheres of radii $r_1$ and $r_2$ are charged to the same potential. The ratio of their surface charge densities $\sigma_1 / \sigma_2$ is:

Accepted Answer

$r_2 / r_1$

Answer

$r_1 / r_2$

Answer

$r_1^2 / r_2^2$

Answer

$r_2^2 / r_1^2$

Question 10

If the distance between the plates of a parallel plate capacitor is increased, its capacitance:

Accepted Answer

Decreases

Answer

Increases

Answer

Remains same

Answer

Becomes zero

Question 11

The electric field at the surface of a charged conductor is:

Accepted Answer

Normal to the surface

Answer

Zero

Answer

Parallel to the surface

Answer

Inclined at $45^\circ$ to the surface

Question 12

A bird sitting on a high power electric line is safe because:

Accepted Answer

The potential difference between the feet of the bird is very small.

Answer

Bird is a non-conductor.

Answer

The current flows only through the wire.

Answer

The feet of the bird are good insulators.

Question 13

What is the geometrical shape of the equipotential surfaces due to a single isolated point charge?

Accepted Answer

Concentric spheres

Answer

Parallel planes

Answer

Cylindrical

Answer

Ellipsoidal

Question 14

The dimension of capacitance is:

Accepted Answer

$[M^{-1} L^{-2} T^4 A^2]$

Answer

$[M L^2 T^{-4} A^{-2}]$

Answer

$[M L^{-2} T^4 A^2]$

Answer

$[M^0 L^0 T^0 A^0]$

Question 15

When a dielectric is inserted into a capacitor which is isolated (battery disconnected), the potential difference between the plates:

Accepted Answer

Decreases

Answer

Increases

Answer

Remains same

Answer

Becomes zero

Question 16

In a region of constant potential:

Accepted Answer

Both (2) and (3) are correct.

Answer

The electric field is uniform.

Answer

The electric field is zero.

Answer

There can be no charge inside the region.

Question 17

Two capacitors of capacitance $C$ are connected in series. The equivalent capacitance is:

Accepted Answer

$C/2$

Answer

$2C$

Answer

$C$

Answer

$C^2$

Question 18

Which statement is correct regarding the conservative nature of electrostatic force?

Accepted Answer

Work done in a closed loop is zero.

Answer

Work done depends on the path.

Answer

Work done is independent of the initial and final positions.

Answer

It is valid only for positive charges.

Question 19

If a metal sheet (conducting slab) of negligible thickness is inserted between the plates of a parallel plate capacitor, the capacitance:

Accepted Answer

Remains unchanged

Answer

Becomes infinite

Answer

Becomes zero

Answer

Decreases

Question 20

The relation between electric field $E$ and potential $V$ is correctly represented by:

Accepted Answer

$E = -
abla V$

Answer

$E = 
abla V$

Answer

$V = -
abla E$

Answer

$E = V^2$

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Electrostatic Potential and Capacitance Quiz Set-2

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