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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 R3/2, then T2 is proportional to

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By Expert Faculty of Sri Chaitanya
a
R3
b
R5/2
c
R3/2
d
R7/2
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detailed solution

Correct option is C

Gravitational force =GMmR3/2 provides the necessarycentripetal force  (i.e., mRω2 ) So GMmR3/2=mRω2=mR2πT2=4π2mRT2or T2=4π2R3/4GMe,i, T2∝R3/2

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