First slide

Gravitational force and laws

Question

The orbital angular momentum of a satellite revolving at a distance r from the centre is L. If the distance is increased to 16r, then the new angular momentum will be

Moderate

A

16 L
B

64 L
C

$\frac{L}{4}$
D

4 L

Solution

$L = mvr = m \sqrt{\frac{GM}{r}} r = m \sqrt{GMr}$
$∴ L \propto \sqrt{r}$

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