Q 11-07-116JEE MainJEE Main 2023 (1 Feb, Shift 2)Easy
The escape velocities of two planets $A$ and $B$ are in the ratio $1:2$. If the ratio of their radii respectively is $1:3$, then the ratio of acceleration due to gravity of planet $A$ to the acceleration due to gravity of planet $B$ will be
Answer: (D) $\dfrac34$
$v_e=\sqrt{2gR}\Rightarrow g\propto\dfrac{v_e^2}{R}$: $\dfrac{g_A}{g_B}=\dfrac14\times\dfrac31=\dfrac34$.
Solution by Sreeraj P, M.Sc Physics