Two isolated metallic solid spheres of radii \(R\) and \(2 R\) are charged such that both have same charge density \(\si…

Two isolated metallic solid spheres of radii \(R\) and \(2 R\) 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:[JEE Main 2023, 30 Jan (Shift 1)]