Q 11-07-130JEE MainJEE Main 2022 (27 Jul, Shift 1)Easy
Two satellites $A$ and $B$ having masses in the ratio $4 : 3$ are revolving in circular orbits of radii $3r$ and $4r$ respectively around the earth. The ratio of total mechanical energy of $A$ to $B$ is
Answer: (B) $16 : 9$
$E = -\dfrac{GMm}{2r}$, so $E \propto \dfrac{m}{r}$:
$$\frac{E_A}{E_B} = \frac{4}{3r}\cdot\frac{4r}{3} = \frac{16}{9}$$
Solution by Sreeraj P, M.Sc Physics