Q 11-07-118JEE MainJEE Main 2022 (24 Jun, Shift 2)Easy
The distance between Sun and Earth is $R$. The duration of year if the distance between Sun and Earth becomes $3R$ will be:
Answer: (B) $3\sqrt3\ \text{yr}$
Kepler's third law: $T^2\propto R^3$, so
$$T' = T\left(\frac{3R}{R}\right)^{3/2} = 3\sqrt3\ \text{yr}$$
Solution by Sreeraj P, M.Sc Physics