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Q.

Imagine a light planet is revolving round a very massive star in a circular orbit of radius R with a time period of revolution T. If the gravitational force of attraction between the star and planet is proportional to Rn, then T2 is proportional to

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a

Rn+1

b

Rn+2

c

Rn1

d

Rn2

answer is A.

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Detailed Solution

GMmRn=mRω2=mR4π2T2

T2=4π2Rn+1GMT2Rn+1

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