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A small planet is revolving around a ver...

A small planet is revolving around a very massive star in a circular orbit of Radius R with a period of revolution T. If the gravitational force between the planet and the star were proportional to `R^(-5//2)`, then T would be proportional to

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Hence `F=KR^(-5/2)=mr((2pi)/T)`
or `T^(2)=(4pi^(2)mR)/(KR^(-5/2))=(4pi^(2)m)/K R^(7/2)`
Hence `T^(2)propR^(7/2)`
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