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Equipotential Surfaces

A uniformly c...

Question

A uniformly charged solid sphere of radius $R$ has potential $V_{0}$ (measured with respect to $\infty)$ on its surface. For this sphere the equipotential with potentials $\frac{{3 V}_{0}}{2}, \frac{{5 V}_{0}}{4}, \frac{{3 V}_{0}}{4} a n d \frac{V_{0}}{4}$ have radius $R_{1}, R_{2}, R_{3}$ and $R_{4}$ respectively. Then

A

R_{1} \neq 0

and

(R_{2} - R_{1}) > (R_{4} - R_{3})

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B

R_{1} = 0

and

R_{2} < (R_{4} - R_{3})

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C

2 R < R_{4}

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D

R_{1} = 0

and

R_{2} > (R_{4} - R_{3})

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Solution

The correct options are
C $2 R < R_{4}$
D $R_{1} = 0$ and $R_{2} > (R_{4} - R_{3})$

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