Question

A satellite of mass $m$ is orbiting in an orbit of radius $r$. If time period of satellite is $T$, then

• A. $T^2\propto m^3$
• B. $T\propto m^{-1}$
• C. $T^2\propto m^{\frac{3}{2}}$
• D. $T\propto m^{\circ }$

Answer 1

The correct option is D $T\propto m^{\circ }$

Time period of a satellite is given as $T=2\pi \sqrt{\frac{r^3}{GM}}$

It is clear that time period is independent of the mass of orbiting body and depends on the mass of central body and radius of the orbit