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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 the planet and the star is proportional to r^5/2, then the square of the time period will be proportional to

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r2.5

r3.5

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detailed solution

Correct option is D

mv2r=GMmr5/2∵F∝1r5/2or rω2=GMr5/2or r4π2T2=GMr5/2or T2∝r7/2 or T2∝r3.5

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