Q. A satellite is orbiting around the earth with orbital radius $R$ and time period $T$. The quantity which remain constant is
A) $T/R$
B) $T^{2}/R$
C) $T^{2}/R^{2}$
D) $T^{2}/R^{3}$
Explanation
(d) From Kepler’s third law of planetary motion,
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ T^{2} \propto R^{3}$
$\Longrightarrow \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{T^{2}}{R^{3}} = constant\ $
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.