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 &#0

Question

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)

TestHub · Accepted Answer

Due to the tiny displacement y , the force balance in the tube reads: ​ d t 2 d 2 y ​ = − m F ​ = − ( L A ρ 2 y ρ g ​ ) ⇒ d t 2 d 2 y ​ = − ( L 2 g ​ ) y ​ or ω 2 = L 2 g ​ ⇒ T = 2 π 2 g L ​ ​

Physics - SHM Question with Solution | TestHub

Options:

Doubts & Discussion