A cylindrical cork of uniform density floats in a liquid of density ρ 1. If the cork is depressed slightly and released, it oscillates harmonically…

A cylindrical cork of uniform density floats in a liquid of density $\displaystyle \rho_1$. If the cork is depressed slightly and released, it oscillates harmonically with time period T. If the same cork floats in another liquid of density $\displaystyle \rho_2$, then the similar oscillation has time period 2T. The value of $\displaystyle \rho_2 / \rho_1$ is :