SHMHard

Question

A very long (length L) cylindrical galaxy is made of uniformly distributed mass and has radius R (R << 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 :

Options

A.T ∝ r
B.T ∝ √r
C.T ∝ r2
D.T2 ∝ r3

Solution

F = m
mr
T ∝ r

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