If `v_(e)` is the escape velocity of a body from a planet of mass 'M' and radius 'R`. Then the velocity of the satellite revolving at height 'h' from the surface of the planet will be

Options

A. `v_(e)sqrt(R/(R+h))`
B. `v_(e)sqrt((2R)/(R+h))`
C. `v_(e)sqrt((R+h)/R)`
D. `v_(e)sqrt(R/(2(R+h)))`

Answer

D

Explanation

`v_(e)=sqrt((2GM)/R),v=sqrt((GM)/(R+h))`
`rArr v/(v_(e))=sqrt(R/(2(R+h)))rArr v=v_(e)sqrt(R/(2(R+h)))`