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9
MCQ (Multiple Correct Answer)

The work done to move a charge along an equipotential from $A$ to $B$

A
cannot be defined as $-\int_A^B$ E.dl
B
must be defined as $-\int_A^B$ E.dl
C
is zero
D
can have a non-zero value
10
MCQ (Multiple Correct Answer)

In a region of constant potential

A
the electric field is uniform
B
the electric field is zero
C
there can be no charge inside the region
D
the electric field shall necessarily change if a charge is placed outside the region
11
MCQ (Multiple Correct Answer)

In the circuit shown in figure initially key $K_1$ is closed and key $K_2$ is open. Then $K_1$ is opened and $K_2$ is closed (order is important). [Take $Q_1^{\prime}$ and $Q_2^{\prime}$ as charges on $C_1$ and $C_2$ and $V_1$ and $V_2$ as voltage respectively.]

Then,

A
charge on $C_1$ gets redistributed such that $V_1=V_2$
B
charge on $C_1$ gets redistributed such that $Q_1^{\prime}=Q_2^{\prime}$
C
charge on $C_1$ gets redistributed such that $C_1 V_1+C_2 V_2=C_1 E$
D
charge on $C_1$ gets redistributed such that $Q_1^{\prime}+Q_2^{\prime}=Q$
12
MCQ (Multiple Correct Answer)

If a conductor has a potential $V \neq 0$ and there are no charges anywhere else outside, then

A
there must 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
13
MCQ (Multiple Correct Answer)

A parallel plate capacitor is connected to a battery as shown in figure. Consider two situations.

A. Key $K$ is kept closed and plates of capacitors are moved apart using insulating handle.

B. Key $K$ is opened and plates of capacitors are moved apart using insulating handle.

Choose the correct option(s).

A
In $\mathbf{A} Q$ remains same but $C$ changes
B
In B $V$ remains same but $C$ changes
C
In $\mathbf{A} V$ remains same and hence $Q$ changes
D
In $\mathbf{B} Q$ remains same and hence $V$ changes