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An earth satellite of mass m revolves in...

An earth satellite of mass `m` revolves in a circular orbit at a height `h` from the surface of the earth. R is the radius of the earth and `g` is acceleration due to gravity at the surface of the earth. The velocity of the satellite in the orbit is given by

A

`(gR^2)/(R+h)`

B

`gR`

C

`(gR)/(R+h)`

D

`sqrt((gR^2)/(R+h))`

Text Solution

Verified by Experts

The correct Answer is:
D
`v_0=sqrt((GM)/r)=sqrt((GM)/((R+h)))=sqrt((GM)/(R^2).(R^2)/(R+h))=sqrt((gR^2)/((R+h)))`
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