Screenshot_2019-03-04-09-21-04-564_com.android.chrome.png A very long (length L) cylindrical galaxy is made of uniformly distributed mass and has radius R (R<
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S safeer

T=\frac{Circumference\: of\: orbit}{orbital\: velocity}

 

 F=\frac{2GM}{Lr}m,                F=(\frac{k}{r})m,

Here K is some constant

(\frac{mv^2}{r})=\frac{km}{r}\Rightarrow v=\:constant

T=\frac{2\pi r}{v}                    

\therefore T\propto r

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