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If v(e) is escape velocity and v(0), is ...

If `v_(e)` is escape velocity and `v_(0)`, is orbital velocity of satellite for orbit close to the earth's surface. Then are related by

A

`v_(o)=v_(e)`

B

`v_(e)=sqrt(2v_(o))`

C

`v_(e)=sqrt2v_(o)`

D

`v_(o)=sqrt2v_(e)`

Text Solution

Verified by Experts

The correct Answer is:
C
`v_("escape")=sqrt((2GM)/(R))`
`v_("orbital")=sqrt((GM)/(R))`
`v_("escape")=sqrt2v_(o)`
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