A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is r and mass of the earth M, the angular momentum about the centre of the earth is :

Options

A. `m sqrt((GM)/(r ))`
B. `M sqrt(Gmr)`
C. `M sqrt((GM)/(r ))`
D. `m sqrt(GM r)`

Answer

D

Explanation

`L=mv" "FC=m sqrt((GM)/(r )).R=m sqrt(GMr)`
So the correct choice is (d).