Imagine a light planet revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution $T$. If the gravitational force of attraction between planet and star is proportional to $R^{-5\over 2}$, then ${T^2}$ is proportional to
Imagine a light planet revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution $T$. If the gravitational force of attraction between planet and star is proportional to $R^{-5\over 2}$, then ${T^2}$ is proportional to
${R^3}$
${R^{7/2}}$
${R^{5/2}}$
${R^{3/2}}$
Imagine a light planet revolving around a very massive star in a circular orbit of radius $R$ with a period of revolution $T$. If the gravitational force of attraction between planet and star is proportional to $R^{-5\over 2}$, then ${T^2}$ is proportional to
For revolution of planet centripetal force is provided by gravitational force of attraction
$m{\omega ^2}R \propto {R^{ - 5/2}}$
$\frac{1}{{{T^2}}} \propto {R^{ - 7/2}}$
$ \Rightarrow {T^2} \propto {R^{7/2}}$
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