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Energy required to move a body of mass m...

Energy required to move a body of mass m from an orbit of radius 2R to 3R is

A

`GMm//12R^(2)`

B

`GMm//3R^(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
`DeltaU=GMm[1/(r_(1))-1/(r_(2))]=GMm(1/(2R)-1/(3R))=(GMm)/(6R)`
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