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Q.

Imagine a light planet revolving around a massive star in 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 R5/2, then T2 is proportional to

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a

R5/2

b

R7/2

c

R3

d

R3/2

answer is B.

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Detailed Solution

GMmR52=2R   where ω=2πT

GMmR5/2=mR4π2T2

T2R7/2

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