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A light planet is revolving around a massive star in a circular orbit of radius \(R\) with a period of revolution \(T\).…

Q1

A light planet is revolving around a massive star in a circular orbit of radius \(R\) with a period of revolution \(T\). If the force of attraction between planet and star is proportional to \(R ^{-3 / 2}\) then choose the correct option :

a

\(T ^2 \propto R ^{7 / 2}\)

b

\(T ^2 \propto R ^{5 / 2}\)

c

\(T ^2 \propto R ^{3 / 2}\)

d

\(T ^2 \propto R ^3\)

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