Question

The angular momentum of a planet of mass $M$ moving around the sun in an elliptical orbit is $\overrightarrow{L}$. The magnitude of the areal velocity of the planet is :

• A. $\frac{L}{M}$
• B. $\frac{2L}{M}$
• C. $\frac{L}{2M}$
• D. $\frac{4L}{M}$

Answer 1

The correct option is C $\frac{L}{2M}$

We know that, areal velocity of a planet is,
$\frac{dA}{dt}=\frac{L}{2M}$

Hence, option $\left(C\right)$ is the correct answer.