Q 11-07-021NEETEAMCET 2012 (Medical)Easy
An artificial satellite of mass $m$ is revolving around in a circular orbit of radius $r$. If the mass of the earth is $M$, the angular momentum of the satellite with respect to the centre of the earth is
Answer: (A) $\sqrt{GMm^2r}$
Concept. $L = mvr$ with $v = \sqrt{\dfrac{GM}{r}}$.
Step 1. Substitute. $L = m\sqrt{GMr} = \sqrt{GMm^2r}$.
Answer. $\sqrt{GMm^2r}$ (Option A).
Solution by Sreeraj P, M.Sc Physics