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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 forms a circular orbit of radius `R_(1)` to another of radius `R_(2)(R_(2)gtR_(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

`1/2GmM((1)/(R_1)-(1)/(R_2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Addition K.E.
`DeltaKE=(GMm)/(2R_1)-(GMm)/(2R_2)=U_i-U_f`
`=1/2GMm[1/(R_1)-1/(R_2)]`
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