Q 11-07-104JEE MainJEE Main 2023 (6 Apr, Shift 1)Medium
A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing $W$ on earth will weigh on that planet
Answer: (B) $2^{1/3}W$
Same density: $R\propto M^{1/3}$, so $R_p=2^{1/3}R$. $g\propto\rho R$, hence $g_p=2^{1/3}g$ and the weight is $2^{1/3}W$.
Solution by Sreeraj P, M.Sc Physics