Physics

Physics

Problem

A very long (length LL) cylindrical galaxy is made of uniformly distributed mass and has radius RR (R≪LR \ll 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 TT and its distance from the galaxy's axis is rr, then: a. T∝rT \propto r b. T∝rT \propto \sqrt{r} c. T∝r2T \propto r^2 d. T2∝r3T^2 \propto r^3

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