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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

`m g R((n)/(n - 1))`

B

`n m g R`

C

`mgR((n^(2))/(n^(2) + 1))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Change in potential energy,
`DeltaE = GMn((1)/(R ) - (1)/(R + nR)) = (GM m)/(R(R + nR)) xx nR`
`= (GMm)/(R ) ((n)/(1 + n)) = gRm ((n)/(1 + n))`
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