How Does a Liquid Oscillate in a U-Shaped Tube?

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Homework Statement


A liquid is placed in a U-Shaped tube. Initially both are at the same level. Total length of liquid is L. But later one side is displaced from equilibrium by X.(Difference of both sides is 2x now). Show that the water will oscillate harmonically in the form of a=-w squared x. Hence derive an expression for period of oscillation in terms of L.



Homework Equations


Pressure= hpg
F=ma


The Attempt at a Solution


Not really sure about this question...
 
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You should show at least some steps..or at least tell us any idea you might have about how to approach the problem, so we know you have spent some time on it. :)