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A spiral galaxy can be approximated as a...

A spiral galaxy can be approximated as an infinitesimally thin disk of a uniform surface mass density (mass per unit area) located at `z=0`. Two stars `A` and `B` start from rest from heights `2z_(0)` and `z_(0)` (`z_(0) lt lt` radial extent of the disk), respectively, and fall towards the disk, cross over to the other side, and execute periodic oscillations. The ratio of time periods of `A` and `B` is

A

`2^(-1//2)`

B

2

C

1

D

`2^(1//2)`

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