A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius `(1.01)` R. The period of the second satellite is larger than the first one by approximately

Options

A. `0.7%`
B. `1%`
C. `1.5%`
D. `3%`

Answer

C

Explanation

`T=(2piR)/(sqrt((GM)/R)),TpropR^(3//2)`
Radius of `2^(nd)` satellite is 1% greater
Hence time period is `1xx3/2=1.5%` larger