Q 11-07-110JEE MainJEE Main 2023 (8 Apr, Shift 2)Medium
The orbital angular momentum of a satellite is $L$, when it is revolving in a circular orbit at height $h$ from earth surface. If the distance of satellite from the earth centre is increased by eight times to its initial value, then the new angular momentum will be
Answer: (D) $3L$
$L=mvr=m\sqrt{GMr}\propto\sqrt r$. Increasing $r$ by eight times its value makes it $9r$, so $L'=\sqrt9\,L=3L$.
Solution by Sreeraj P, M.Sc Physics