A satellite of mass `m` is circulating around the earth with constant angular velocity. If the radius is `R_(0)` and mass of earth is M, then the angular momentum about the centre of the earth is

Options

A. `m sqrt(GM//R_(0))`
B. `Msqrt(GmR_(0))`
C. `m sqrt(GMR_(0))`
D. `M sqrt(GM//R_(0))`

Answer

C

Explanation

Angular momentum = linear momentum `xx` perpendicular distance from the axis of rotation
= mass `xx` orbital velocity `xx` radius
`=mxxsqrt((GM)/(R_(0)))xxR_(0)=msqrt(GMR_(0))`.