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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

Energy required `=U_(f)-U_(i)`
`=-(GMm)/(3R)+(GMm)/(2R)=-(GMm)/(R)(-(1)/(3)+(1)/(2))`
`=(GMm)/(R)(-(2+3)/(6))=(GMm)/(6R)`
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ALLEN -GRAVITATION-Exercise 5 A (Previous Year Questions)
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