In a satellite if the time of revolution is T | vedclass

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Question

(c)

According to Kepler's third law,

$T^2 \propto r^3$

$r=$ radius of orbit

For a satellite of mass $m$ orbiting in an orbit of radius

Vedclass · Accepted Answer

$T^{-2 / 3}$

Vedclass · Answer

(c)

According to Kepler's third law,

$T^2 \propto r^3$

$r=$ radius of orbit

For a satellite of mass $m$ orbiting in an orbit of radius $r$ around planet of mass $M$,

Potential energy $( PE )=\frac{-G M m}{r}$

$\Rightarrow PE \propto \frac{G M m}{T^{2 / 3}}$

$\Rightarrow P E \propto T^{-2 / 3}$

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

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