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A body of mass m is placed on the earth ...

A body of mass `m` is placed on the earth surface is taken to a height of `h=3R`, then, change in gravitational potential energy is

A

`"mgR"/4`

B

`2/3mgR`

C

`3/4mgR`

D

`"mgR"/2`

Text Solution

Verified by Experts

The correct Answer is:
C

Change in G.P.E.=final energy - initial energy
`=-"GMm"/"4R"+"GMm"/R="GMm"/R[1-1/4]`
`=3/4 "GMm"/R=3/4"GM"/R^2 mR=3/4 gmR`
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