Answer: 2π√(L/2g).
- A 2π√(L/2g)
- B 2π√(L/g)
- C 2π√(2L/g)
- D 2π√(g/L)
Correct answer: A. 2π√(L/2g)
Explanation: For liquid in U-tube (total column length L), T = 2π√(L/2g). This is similar to a pendulum with effective length L/2.
In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.
Concept context
Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.