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If r represents the radius of the orbit...

If r represents the radius of the orbit of a satellite of mass m moving around a planet of mass M , the velocity of the satellite is given by

A

`upsilon_o^2=(GM)/R`

B

`upsilon_o^2=(GR)/M`

C

`upsilon_o^2=(GM)/R`

D

`upsilon_o^2=(GM)/(mR)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(mV_0^2)/R`= centripetal force `=( GmM)/(R^2)=` Gravitational force
`implies v_o^2=(GM)/R`
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