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Suppose the gravitational force varies i...

Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius 'R' around the sun will be proportional to

A

2mgR

B

`(1)/(2)mgR`

C

`(1)/(4)mgR`

D

`mgR`

Text Solution

Verified by Experts

The correct Answer is:
B
`DeltaU=U_(f)-U_(i)=-(GMm)/(2R)+(GMm)/(R)`
`=(GMm)/(2R)=(mgR)/(2)`
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