A uniformly charged solid sphere of radius R has potential V_0 (measured with respect to ∞ ) on its surface. For this sphere the equipotential…

A uniformly charged solid sphere of radius R has potential $\displaystyle \mathrm{V}_0$ (measured with respect to $\displaystyle \infty$ ) on its surface. For this sphere the equipotential surfaces with potentials $\displaystyle \frac{3 \mathrm{~V}_0}{2}, \frac{5 \mathrm{~V}_0}{4}, \frac{3 \mathrm{~V}_0}{4}$ and $\displaystyle \frac{\mathrm{V}_0}{4}$ have radius $\displaystyle \mathrm{R}_1$, $\displaystyle \mathrm{R}_2, \mathrm{R}_3$ and $\displaystyle \mathrm{R}_4$ respectively. Then