Q. A planet moving along an elliptical orbit is closest to the sun at a distance $r_{1}$ and farthest away at a distance of $r_{2}$. If $v_{1}$ and $v_{2}$ are the linear velocities at these points respectively. Then the ratio $\frac{v_{1}}{v_{2}}$ is
A) $\frac{r_{1}}{r_{2}}$
B) $\left( \frac{r_{1}}{r_{2}} \right)^{2}$
C) $\frac{r_{2}}{r_{1}}$
D) $\left( \frac{r_{2}}{r_{1}} \right)^{2}$
Explanation
(c) $v_{1}r_{1} = v_{2}r_{2}$ [$\because$ angular momentum is constant]
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.