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A body of mass m is lifted up from the s...

A body of mass `m` is lifted up from the surface of earth to a height three times the radius of the earth `R`. The change in potential energy of the body is

A

`(mgR)/4`

B

`2/3 mgR`

C

`3/4 mgR`

D

`(mgR)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
`Deltau=-((GMm)/(R+h))-(-(GMm)/(R))`
`H=3R`
`Deltau=-(GMm)/(4R)+(GMm)/R=(3GMm)/(4R^(2))xxR`
`Deltau=3/4mgR`
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