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JEE Main 2023 (8 Apr, Shift 2) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2023 (8 Apr, Shift 2)

Q39JEE Main 2023 · 8 APR · SHIFT 2Medium

Satellites - Orbital Velocity & Period

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 -

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Answer: (d)

$L = m\sqrt{GMr}$ , so $L \propto \sqrt{r}$ .
Increasing the distance by eight times its value gives $r' = r + 8r = 9r$ .
$L' = L\sqrt{9} = 3L$
So the answer is (d) 3L.

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