Q63 / 90 · JEE Main 2021 (20 Jul Shift 2) · Physics

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 $1.02 R .$ The percentage difference in the time periods of the two satellites is:

Solution

$T^{2} \propto R^{3}$

$T = k R^{3 / 2}$

$\frac{d T}{T} = \frac{3}{2} \frac{d R}{R}$

$= \frac{3}{2} \times 0.02 = 0.03$

$%$ Change $= 3 %$

Hence, the correct answer is option: 'D'.