First slide

Angular momentum

Question

An artificial satellite is rotating in a circular orbit of radius r around the earth. Then which one of the following graphs correctly shows the variation of its angular momentum L with orbit radius?

Easy

A
B
C
D

Solution

$L = mvr = m \sqrt{\frac{GM}{r}} . r = m \sqrt{GMr}$
$\Rightarrow L^{2} = (m^{2} GM) r \Rightarrow L^{2} \propto r$
So L - r graph is a parabola as shown in (1)

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