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7
MCQ (Multiple Correct Answer)

Consider a uniform electric field in the $\hat{z}$-direction. The potential is a constant

A
in all space
B
for any $x$ for a given $z$
C
for any $y$ for a given $z$
D
on the $x$ - $y$ plane for a given $z$
8
MCQ (Multiple Correct Answer)

Equipotential surfaces

A
are closer in regions of large electric fields compared to regions of lower electric fields
B
will be more crowded near sharp edges of a conductor
C
will be more crowded near regions of large charge densities
D
will always be equally spaced
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 $Q_1^{\prime}+Q_2^{\prime}=Q$