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U the gravitational force is proportional to 1/ R3 , the square of time period of revolution is proportional to

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a

R2

b

R3

c

R4

d

None

answer is C.

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Detailed Solution

F=k/R3Now mv2R=kR3 or V=1RkmThe frequency of revolution v is given byv=V2πRSo, the time period of revolutionT=1v=2πRV=2πR2mkor T∝R2 or T2∝R4

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U the gravitational force is proportional to 1/ R3 , the square of time period of revolution is proportional to