A uniform L-shaped tube contains a liquid column of total length 4 m between the two free surfaces. One arm is vertical and the other is horizontal. Neglect viscosity and take g = 10 m/s². If ω² = N/2 s⁻², find N.
Physics · Simple Harmonic Motion · time period of linear shm
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Question

A uniform L-shaped tube contains a liquid column of total length 4 m between the two free surfaces. One arm is vertical and the other is horizontal. Neglect viscosity and take g = 10 m/s². If ω² = N/2 s⁻², find N.

Physics · Simple Harmonic Motion · time period of linear shm

G1 Physics · Accepted Answer

For the L-shaped tube, ω² = g/Lₜ, because the restoring head changes by x while the entire liquid column moves. Here, Lₜ = 4 m. Thus, ω² = 10/4 = 5/2 s⁻². Hence, N = 5.