A U-tube of a uniform bore is with its arm vertical. The length of the liquid in the two arms or 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)

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Correct answer: D. 2 L 2 g

Due to the tiny displacement y , the force balance in the tube reads: aligned & d^2 y d t^2 =- F m =- ( 2 y g L A ) & d^2 y d t^2 =- ( 2 g L ) y aligned or ^2= 2 g L T=2 L 2 g

A U-tube of a uniform bore is with its arm vertical. The length of the liquid in the two arms or 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)

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