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 R-n, then T2 is proportional to 

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a

Rn+2

b

Rn+1

c

Rn–2

d

Rn–1

answer is A.

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Detailed Solution

FRnF=KRn
Gravitational Force provides necessary centripetal Force
mRω2=KRnmR4π2T2=KRnT2=mR4π2KRnT2Rn+1

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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 R-n, then T2 is proportional to