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The energy required to move an earth sat...

The energy required to move an earth satellites of mass m from a circular orbit of radius 2 R to a radius 3 R is `" "` (R is radius of the earth)

A

`(GMm)/(12R)`

B

`(GMm)/(8R)`

C

`(GMm)/(3R)`

D

`(GMm)/(6R)`

Text Solution

Verified by Experts

The correct Answer is:
A
Change in total energy in displacing a body from `r_1` to `r_2` is given by
`DeltaU=(GMm)/2[1/r_1-1/r_2]=(GMm)/2(1/(2R)-1/(3R))=(GMm)/(12R)`
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