The radius of a planet is double that of the earth but their average densities are the same. If the

Question

The radius of a planet is double that of the earth but their average densities are the same. If the escape velocities at the planet and the earth are $v_p$ and $v_e$ respectively, then

Professor PC Thomas Classes · Answer

$v_e = R\sqrt{\frac{8}{3}\pi G \rho}$. Since $\rho$ is same, $v \propto R$. Thus $v_p = 2v_e$.