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Energy required in moving a body of mass...

Energy required in moving a body of mass `m` from a distance 2R to 3R from centre of earth of mass M is

A

`(GMm)/(12 R^(2))`

B

`(GMm)/(2R^(2))`

C

`(GMm)/(8R)`

D

`(GMm)/(6R)`

Text Solution

Verified by Experts

The correct Answer is:
D
Change in potential energy in displacing a body from `r_(1)` to `r_(2)` is given by
`Delta U=GMm[(1)/(r_(1))-(1)/(r_(2))]`
`=GMm((1)/(2R)-(1)/(3R))" "(because r_(1)=2R,r_(2)=3R)`
`=(GMm)/(6R)`.
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