Q. If $r$ denotes the distance between the sun and the earth, then the angular momentum of the earth around the sun is proportional to

A) $r^{3/2}$
B) $r$
C) $\sqrt{r}$
D) $r^{2}$
Explanation

(c) Angular momentum of the earth around the sun is
$L = M_{E}v_{0}r$
$\Rightarrow L = M_{E}\sqrt{\frac{GM_{s}}{r}}r\ \ \ \ \ \ \ \left( \because v_{0} = \sqrt{\frac{GM_{s}}{r}} \right)$
$\Rightarrow L = \left\lbrack M_{E}^{2}GM_{s}r \right\rbrack^{1/2}$
Where, $M_{E} =$ Mass of the earth
$M_{s} =$ Mass of the sun
$r =$ Distance between the sun and the earth
$\therefore L \propto \sqrt{r}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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