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A very long (length L) cylindrical galax...

A very long (length L) cylindrical galaxy is made of uniformly distributed mass and has radius R `(R lt lt L)` A star outside the galaxy is orbiting the galaxy in a plane perpendicular to the galaxy and passing through its centre. If the time period of star is T and its distance from the galaxy's axis is r, then-

A

`T prop r`

B

`T prop sqrtr`

C

`T prop r^2`

D

`T^2 prop r^3`

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