Using the principle of homogeneity of dimensions, find which of the following relation is correct? [T is the period, a is the redius of the orbit and M is the mass of the sun.

Options

A. `T^(2) = (4 pi^(2)a^(3))/(G)`
B. `T^(2) = (4pi^(2)a^(3))/(GM)`
C. `T^(2) = 4pi^(2)a^(3)`
D. `T^(2)= (4pi^(2)a^(3))/(GM^(2))`

Answer

b