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

Options

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

Answer

A