A symmetric V-shaped tube contains a liquid column of total length 5 m. Each arm makes an angle 30° with the horizontal. Neglect viscosity and take g = 10 m/s². If ω² = N s⁻², find N.
Physics · Simple Harmonic Motion · time period of linear shm
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Question

A symmetric V-shaped tube contains a liquid column of total length 5 m. Each arm makes an angle 30° with the horizontal. Neglect viscosity and take g = 10 m/s². If ω² = N s⁻², find N.

G1 Physics · Accepted Answer

For a symmetric V-tube, ω² = 2g sinθ/L. Substitute θ = 30°, sin30° = 1/2, g = 10, L = 5. Thus, ω² = 2×10×(1/2)/5 = 2 s⁻². Hence, N = 2.