Q 11-07-149JEE MainJEE Main 2021 (20 Jul, Shift 2)Easy
A satellite is launched into a circular orbit of radius $R$ around earth, while a second satellite is launched into a circular orbit of radius $1.02R$. The percentage difference in the time periods of the two satellites is:
Answer: (D) 3.0
$T \propto r^{3/2}$, so $\dfrac{\Delta T}{T} = \dfrac32\cdot\dfrac{\Delta r}{r} = \dfrac32\times2\% = 3\%$.
Solution by Sreeraj P, M.Sc Physics