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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)`

B

`(GMm)/(3R^2)`

C

`(GMm)/(8R^2)`

D

`(GMm)/(6R)`

Text Solution

Verified by Experts

The correct Answer is:
D
`implies U_1 =-(GM_em)/(2R)`
`U_2 =-(GM_em)/(3R)`
`:.` Change in potential energy `=U_2 -U_1`
`(GMm)/(3R)-(-(GMm)/(2R))`
`=(GMm)/R [((-2)+3)/6]`
`=(GMm)/(6R)`
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