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Minimum work done to shift a body of mas...

Minimum work done to shift a body of mass m from a circular orbit of 2R to a higher orbit of radius 3R around the earth (R = Radius of earth):

A

`(GM m)/(12R)`

B

`(GMm)/(6R)`

C

`(GMm)/(4R)`

D

`(GMm)/(8R)`

Text Solution

Verified by Experts

The correct Answer is:
B
Work done = Increase in P.E.
`=(-GMm)/(3R)+(GMm)/(2R)=(GMm)/(6R)`
Thus correct choice is (b).
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