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4
MCQ (Single Correct Answer)

The electrostatic potential on the surface of a charged conducting sphere is 100 V . Two statements are made in this regard $S_1$ at any point inside the sphere, electric intensity is zero. $S_2$ at any point inside the sphere, the electrostatic potential is 100 V . Which of the following is a correct statement?

A
$S_1$ is true but $S_2$ is false
B
Both $S_1$ and $S_2$ are false
C
$S_1$ is true, $S_2$ is also true and $S_1$ is the cause of $S_2$
D
$S_1$ is true, $S_2$ is also true but the statements are independent
5
MCQ (Single Correct Answer)

Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately

A
spheres
B
planes
C
paraboloids
D
ellipsoids
6
MCQ (Single Correct Answer)

A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness $d_1$ and dielectric constant $K_1$ and the other has thickness $d_2$ and dielectric constant $K_2$ as shown in figure. This arrangement can be thought as a dielectric slab of thickness $d\left(=d_1+d_2\right)$ and effective dielectric constant $K$. The $K$ is

A
$\frac{K_1 d_1+K_2 d_2}{d_1+d_2}$
B
$\frac{K_1 d_1+K_2 d_2}{K_1+K_2}$
C
$\frac{K_1 K_2\left(d_1+d_2\right)}{\left(K_1 d_1+K_2 d_2\right)}$
D
$\frac{2 K_1 K_2}{K_1+K_2}$
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
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