Question

Angular momentum of earth revolving around the sun in a circular orbit of radius $R$ is proportional to

• A. $\sqrt{R}$
• B. R
• C. $R^2$
• D. $R^{1/2}$
• E. $R^{3/2}$

Answer 1

Answer: (D)

We know that angular momentum of Earth
$L=mvR$
$\Rightarrow L=m\sqrt{\frac{GM}{R}}\times R$
$\Rightarrow L\propto R^{1/2}$