If a planet of mass `m` is revolving around the sun in a circular orbit of radius `r` with time period, `T` then mass of the sun is

Options

A. `4pi^(2)r^(3)//GT`
B. `4pi^(2)r^(3)//GT^(2)`
C. `4pi^(2)r//GT`
D. `4pi^(2)r^(3)//G^(2)T^(2)`

Answer

B

Explanation

From Kepler.s 3rd law `mrw^(2)=(GMm)/(r^(2))T=2pi sqrt((r^(3))/(GM))`