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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 R52, and T2 is proportional to


A

R3

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B

R7/2

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C

R3/2

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D

R9/2

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Solution

The correct option is B

R7/2


Centripetal force R52

or mRω2R52

or ω2R521

or ωR72

or (2πT)2R72

or T2R72


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