GravitationHard

Question

Imagine a light planet revolving around a very massivr 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

Options

A.T2 is proportional to R2
B.T2 is proportional to R7/2
C.T2 is proportional to R3/2
D.T2 is proportional to R3.75

Solution

∝ R-5/2       ∴ v ∝ R-3/4
Now,    T =
or    T2 ∝
or      T2 ∝

      T2 ∝ R7/2

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