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A small mass m is moved slowly from the ...

A small mass `m` is moved slowly from the surface of the earth to a height `h` above the surface. The work done (by an external agent) in doing this is

A

`-mg R` for `h lt lt R`

B

mgh for all values of h

C

`-(1)/(2)mgR` for `h = R`

D

`(1)/(2)mgR` for `h = R`

Text Solution

Verified by Experts

The correct Answer is:
D
When `h = R`
Work done `=- (GMm)/((R+R)) -(-(GMm)/(R)) = (GMm)/(2R) =(1)/(2)mgR`
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