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A body of mass m is taken from the earth...

A body of mass m is taken from the earth's surface to the height equal to twice the radius (R) of the earth.The change in potential energy of body will be

A

`1/3 mgR`

B

mg2R

C

`2/3 mgR`

D

3 mgR

Text Solution

Verified by Experts

The correct Answer is:
C
`U_i=(-GMm)/R,U_f=(-GMm)/(3R)`
`DeltaU=U_f-U_i=(-GMm)/(3R)-(-(GMm)/R)`
`=(-GMm+3GMm)/(3R)=(+2GMm)/(3R)`
`rArrDeltaU=2/3mgR`
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