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
- $\mathrm{R}^{2}$
- $\mathrm{R}^{3}$
- $\mathrm{R}$
- $\sqrt{\mathrm{R}}$
Solution
Correct option is A)
We know that angular momentum of Earth
$\begin{array}{l}
\mathrm{L}=\mathrm{mvR} \\
\Rightarrow \mathrm{L}=\mathrm{m} \sqrt{\frac{\mathrm{GM}}{\mathrm{R}}} \times \mathrm{R} \\
\Rightarrow \mathrm{L} \propto \mathrm{R}^{1 / 2}
\end{array}$
Asked in: MHT CET 2020 (13 Oct Shift 1)
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