Keller's third law states that the square of period of revolution (T) of a planet around the sun is proportional to the sun is proportional to the third power of average distance , r between the sun and the planet i.e `T^2 = Kr^3` Here ,K is constant . If masses of the sun and the planet are M and m respectively , then as per Newton's law of gravitation force of attraction between them is `F =(GMm)/r^2` , Where G is gravitational constant . The relation between G and K is described as

Options

A. `K = 1/G`
B. `GK = 4pi^(2)`
C. `GMK = 4pi^(2)`
D. `K = G`

Answer

C