There are two planets. The ratio of radius of the two planets is k but ratio of acceleration due to gravity of both planets is g . What will be the ratio of their escape velocity ?

[kg]1/2 [kg]-1/2 [kg]2 [kg]-2

[kg]1/2

\(v_e = \sqrt{2gR}\) \(\frac{v_{e_1}}{v_{e_2}} = \sqrt{\frac{R_1 g_1}{R_2 g_2}}\) \(\frac{v_{e_1}}{v_{e_2}} = \sqrt{kg}\)