A satellite of mass m is circulating aroun

Your Ultimate Guide to JEE & NEET Question Solutions

A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is ${R_0}$ and mass of the earth M, the angular momentum about the centre of the earth is

A

$m\sqrt {GM{R_0}} $

B

$M\sqrt {Gm{R_0}} $

C

$m\sqrt {\frac{{GM}}{{{R_0}}}} $

D

$M\sqrt {\frac{{GM}}{{{R_0}}}} $

A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is ${R_0}$ and mass of the earth M, the angular momentum about the centre of the earth is

Angular momentum = Mass $× $ Orbital velocity $×$ Radius
$ = m \times \left( {\sqrt {\frac{{GM}}{{{R_0}}}} } \right) \times {R_0} = m\sqrt {GM{R_0}} $