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. `(GMnr)^(1//2)`
B. `(GMm^(2)r)^(1//2)`
C. `(GM^(2)r^(2))^(1//2)`
D. `(GM^(2)m^(2)r)^(1//2)`

Answer

b

Explanation

`L=mrv`
`"But, "v=sqrt((GM)/(r))`
`L=mr sqrt((GM)/(r))=(GMm^(2)r)^(1//2)`