A satellite is revolving in circular orbit of radius `r` around the earth of mass M. Time of revolution of satellite is

Options

A. `Tprop(r^(5))/(GM)`
B. `T propsqrt((r^(3))/(GM))`
C. `T prop sqrt((r)/((GM^(2))/(3)))`
D. `T prop sqrt((r^(3))/((GM)/(4)))`

Answer

B

Explanation

The time period of revolution of satellite is given by
`rArr T=2pisqrt((r^(3))/(GM))rArr T=prop sqrt((r^(3))/(GM))`.