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NEET UG PHYSICS MCQ: GRAVITATION

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Kepler's third law states that the square of period of revolution (TT) of a planet around the sun is proportional to the third power of average distance, rr between the sun and the planet i.e. T2=Kr3{T}^2={Kr}^3. Here, K{K} is constant. If masses of the sun and the planet are M{M} and m{m} respectively, then as per Newton's law of gravitation force of attraction between them is F=GMmr2F=\frac{G M m}{r^2}, where G{G} is gravitational constant. The relation between G{G} and K{K} is described as
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Correct option: B
GMK=4π2G M K=4 \pi^2
Option B (GMK=4π2G M K=4 \pi^2) is correct because Kepler's third law relates the period of revolution to the orbital radius and the gravitational constant.

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