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The additional kinetic energy to be prov...

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius `R_(1)` to another of radius `R_(2)(R_(2) gt R_(1))` is

A

`GmM((1)/(R_(1)^(2))-(1)/(R_(2)^(2)))`

B

`GmM((1)/(R_(1))-(1)/(R_(2)))`

C

`2GmM((1)/(R_(1))-(1)/(R_(2)))`

D

`(1)/(2)GmM((1)/(R_(1))-(1)/(R_(2)))`

Text Solution

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The correct Answer is:
D
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