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

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7.Gravitation

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

A

$T^{1 / 3}$

B

$T^3$

C

$T^{-2 / 3}$

D

$T^{-4 / 3}$

Solution

(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 $( PE )=\frac{-G M m}{r}$

$\Rightarrow PE \propto \frac{G M m}{T^{2 / 3}}$

$\Rightarrow P E \propto T^{-2 / 3}$

Standard 11

Physics

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