NEET 2015 Physics Kepler's Laws MCQ Question
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
GK = 4π²
GMK = 4π²
K = G
K = 1/G
Correct Answer
Detailed Explanation
By equating the centripetal force and gravitational force, and using Kepler's third law, the relation between G and K can be derived.
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