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The ratio of the KE required to be given...

The ratio of the KE required to be given to the satellite to escape the earth's gravitational field to the KE required for maintaining the satellite in circular orbit just above earth's surface 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)/(2)mv_(o)^(2)=(1)/(2)m(Rg)=(mRg)/(2)`
Ratio of KE `=2 : 1`
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