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The change in the gravitational potentia...

The change in the gravitational potential energy when a body of a mass `m` is raised to a height `nR` above the surface of the earth is (here `R` is the radius of the earth)

A

`(n/(n+1))mgR`

B

`(n/(n-1))mgR`

C

`nmgR`

D

`(mgR)/n`

Text Solution

Verified by Experts

The correct Answer is:
A
`DeltaU=U,-U`
`=(-mgR)/(1+h/R)-(-mgR)=mgR[1-1/(1+n)]`
`=(n/(n+1))mgR`
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