Earth revolves round the sun in a circular orbit of radius 'R'. The angular momentum of the revolving earth…
Earth revolves round the sun in a circular orbit of radius 'R'. The angular momentum of the revolving earth is directly proportional to
$\mathrm{R}^{2}$
$\mathrm{R}^{3}$
$\sqrt{\mathrm{R}}$
$\mathrm{R}$
Solution
Angular momentum of the earth,
$\mathrm{L}=\mathrm{mVR} \quad \text { but } \quad \mathrm{V}=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}}}$
where $M$ is the mass of the sun
$\begin{array}{l}
\therefore L=m R \sqrt{\frac{G M}{R}}=m \sqrt{G M R} \\
\therefore L \propto \sqrt{R}
\end{array}$