If v(e) and v(o) represents the escape v...

If `v_(e) and v_(o)` represents the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius R (`~=` radius of earth), then

A

`v_(e)= v_(0)`

B

`v_(e)= sqrt2 v_(0)`

C

`v_(e)= (v_(0))/(sqrt2)`

D

`v_(e) and v_(0)` are not related

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The correct Answer is:

B

`v_(e)= sqrt(2gR) and v_(0)= sqrt(gR)`
`therefore v_(e)= sqrt2 v_(0)`

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