A solid sphere of radius \(R_1\) and volume charge density \(\rho = \frac{\rho_0}{r}\) is enclosed by a hollow sphere of radius \(R_2\) with negative surface charge density \(\sigma\), such that the total charge in the system is zero. \(\rho_0\) is a positive constant and \(r\) is the distance from the centre of the sphere. The ratio \(\frac{R_2}{R_1}\) is