MHT CET 2022 Physics question

PhysicsOscillationsMHT CET 2022

A U-tube of a uniform bore is placed with its arms vertical. The length of the liquid in the two arms of the U-tube is 'L'. The time period 'T' of the oscillation of the liquid column when it is displaced by 'Y' is (g = acceleration due to gravity)

Answer: (D)

Solution

Let be the cross-section, the density, and the total length of the liquid column be . If the liquid is displaced by in one arm, the level in that arm is higher and in the other arm lower, a height difference . The restoring force is . The mass of liquid is $m =

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Question ID VK-094225