Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T . If the gravitational force of attraction between the planet and the star is proportional to R - 5 2 , then

Question

Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T . If the gravitational force of attraction between the planet and the star is proportional to R - 5 2 , then, T 2 is proportional to R 2, T 2 is proportional to R 7 2, T 2 is proportional to R 3 2, T 2 is proportional to R 5 2

MARKS App · Accepted Answer

Given, F = K R - 5 2 We know, F = mω 2 R ⇒ ω 2 ∝ R - 7 2 ⇒ T 2 ∝ R 7 2 ( since T ∝ 1 ω )

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