Kepler’s third law states the 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., 
, where 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 
Here, G is gravitational constant. The relation between G and K is described as
Text Solution
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Gravitational force of attraction between sun and planet provides centripetal force for the
orbit of planet.
Time period of the planet is given by
According to question,
Comparing equations (ii) and (iii), we get
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