Question

A satellite is launched into a circular orbit of radius ‘R’ around earth while a second satellite is launched into an orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is

• A. 0.7
• B. 1
• C. 1.5
• D. 3

Answer 1

The correct option is D 3

$T\propto R^{\frac{3}{2}}$
Hence, for small changes,
% change in T= 3/2 $\times$ % change in R
$=\frac{3}{2}\times \left(2\right)\%=3\%$