In a satellite if the time of revolution i

Your Ultimate Guide to JEE & NEET Question Solutions

In a satellite if the time of revolution is $T$, then $K.E.$ is proportional to

A

$\frac{1}{T}$

B

$\frac{1}{{{T^2}}}$

C

$\frac{1}{{{T^3}}}$

D

${T^{ - 2/3}}$

In a satellite if the time of revolution is $T$, then $K.E.$ is proportional to

$v = \sqrt {\frac{{GM}}{r}} $
$K.E. \propto {v^2} \propto \frac{1}{r}$ and ${T^2} \propto {r^3}$
$\,K.E.\, \propto {T^{ - 2/3}}$