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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 planet and star is proportional to  R52, then  T2 is proportional to

a
R3
b
R7/2
c
R5/2
d
R3/2

detailed solution

Correct option is B

For revolution of planet centripetal force is provided by gravitational force of attraction mω2R∝R−5/2⇒1T2∝R−7/2⇒T2∝R7/2

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