A satellite of mass `m` is in a circular orbit of radius `r` round the Earth. Calculate its angular momentum with respect to the centre of the orbit in terms of the mass `M` of the Earth and `G`.

Options

A. `(GMmr)^(1//2)`
B. `(GM m^2 r)^(1//2)`
C. `(GM m^2r^2)^(1//2)`
D. `(GM^2 m^2 r)^(1//2)`

Answer

B

Explanation

`V_0^2=(GM)/r`
`rArr((mrv_0)^2)/(m^2r^2)=(GM)/rrArrL^2=GMm^2r`
`rArrL=(GMm^2r)^(1/2)`