Question

In a satellite, if the time of revolution is $T$ , then $KE$ is proportional to

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

Answer 1

Answer: (D)

$T^{-2/3}$

Answer 2

Velocity of satellite $v=\sqrt{\frac{G M}{r}}$ $\therefore KE \propto v^{2} \propto \frac{1}{r}$ and $T^{2} \propto r^{3}$ $\therefore KE \propto T^{-2 / 3}$