Electrostatics

Two isolated metallic solid spheres of radii \(\mathrm{R}\) and \(2 \mathrm{R}\) are charged such that both have same charge density \(\sigma\). The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is \(\sigma^{\prime}\). The ratio \(\frac{\sigma^{\prime}}{\sigma}\) is :