A U tube of uniform bore of cross-sectional area A has been set up vertically with open ends facing up. Now m gm of a liquid of density d is poured into it. The column of liquid in this tube will oscillate with a period T such that
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If the level of liquid is depressed by y cm on one side, then the level of liquid in column P is 2y cm higher than B as shown.
The weight of extra liquid on the side 
.
This becomes the restoring force on mass M.
Restoring acceleration 
This relation satisfies the condition of SHM i.e. 
.
Hence time period 
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