Question

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 is $M,$ the angular momentum about the center of the earth is :

• A. $m\sqrt{GM{R}_0}$
• B. $M\sqrt{Gm{R}_0}$
• C. $m\sqrt{\frac{GM}{R_0}}$
• D. $M\sqrt{\frac{GM}{R_0}}$

Answer 1

Answer: (A)

$m\sqrt{GM{R}_0}$

As, Angular Momentum, $L=m{v}_0{R}_0,\text{and}{v}_0=\frac{GM}{R_0}$

$L=m\sqrt{\frac{GM}{R_0}}{R}_0$
$L=m\sqrt{GM{R}_0}$