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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 surfaces with potentials $\frac{3 V_{0}}{2}, \frac{5 V_{0}}{2}, \frac{3 V_{0}}{4} a n d \frac{V_{0}}{4}$ have radius $R_{1}, R_{2}, R_{3} a n d R_{4}$ and respectively. Then

A

R_{1} = 0, R_{2} > (R_{3} - R_{4})

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B

R_{1} = 0, a n d R_{2} < (R_{2} - R_{1}) > (R_{4} - R_{3})

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C

R_{1} = 0 a n d R_{2} < (R_{4} - R_{3})

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D

2 R < R_{4}

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Solution

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

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