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  • Imagine a light planet revolving around a very massive star in a circular orbit of radius with a peri

Imagine a light planet revolving around a very massive star in a circular orbit of radius \mathrm{R} with a period of revolution \mathrm{T}. If the gravitational force of attraction between the planet and the star is proportional to \mathrm{R^{-5 / 2}}, then,
 

Option: 1

\mathrm{{T^2 \: is\: proportional \: to\: R^2}}

 


Option: 2

\mathrm{T^2 \: is \: proportional\: to \: R^{7 / 2}}
 


Option: 3

\mathrm{T^2\: is\: proportional\: to \: R^{3 / 2}}
 


Option: 4

\mathrm{\mathrm{T}^2\: is \: proportional \: to \: \mathrm{R}^{3.75}}


Answers (1)

best_answer

\mathrm{m R \omega^2 \propto R^{-5 / 2}}

\mathrm{\Rightarrow \mathrm{T}^2 \propto \mathrm{R}^{7 / 2} }

Hence option 2 is correct.
 

Posted by

Gaurav

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