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In order to shift a body of mass m from ...

In order to shift a body of mass `m` from a circular orbit of radius `3R` to a higher orbit of radius `5R` around the earth, the work done is

A

`(3GMm)/(5R)`

B

`(GMm)/(2R)`

C

`2/15 (GMm)/R`

D

`(GMm)/(5R)`

Text Solution

Verified by Experts

The correct Answer is:
C
`W=[-(GMm)/(5R)]-[(GMm)/(3R)]`
or `W=(GMm)/(3R)-(GMm)/(5R)`
or `W=(GMm)/(R)[1/3-1/5]=2/15 (GMm)/R`
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