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 distance r between sun and planet i.e. T²=Kr³ here K is constant. If the masses of sun and planet are M and m respectively then as per Newton’s law of gravitation force of attraction between them is F=GMm/r², here G is gravitational constant. The relation between G and K is described as

Options

(a) GMK=4π²
(b) K=G
(c) K=1/G
(d) GK=4π²

Correct Answer:

GMK=4π²

Explanation:

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