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The ratio of the K.E. required to the gi...

The ratio of the K.E. required to the given to the satellite to escape earth's gravitational field to the K.E. required to be given so that the satellite moves in a circular orbit just above earth atmosphere is

A

`2:3`

B

`3:2`

C

`3:5`

D

`2:1`

Text Solution

Verified by Experts

The correct Answer is:
D
KE for escape `=1/2 mv_e^2 =1/2 m.(2Rg)=mRg`
KE for orbital motion `=1/2mv_0^2=1/2m(Rg)=(mRg)/2`
Ratio of KE = 2 : 1
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