Electrostatics

A uniformly charged solid sphere of radius \(\mathrm{R}\) has potential \(\mathrm{V}_0\) (measured with respect to infinity) on its surface. For this sphere the equipotential surfaces with potentials \(\frac{3 \mathrm{~V}_0}{2}, \frac{\mathrm{V}_0}{1}, \frac{3 \mathrm{~V}_0}{4}\) and \(\frac{\mathrm{V}_0}{4}\) have radius \(\mathrm{R}_1, \mathrm{R}_2, \mathrm{R}_3\) and \(\mathrm{R}_4\) and respectively, then