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Simple Harmonic Motion: Liquid in U-Tube MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Liquid in U-TubeMediumQuestion 31144

Question

Liquid column of length L oscillates in a U-tube with time period:
  1. A
    2π√(L/g)
  2. B
    2π√(L/2g)
  3. C
    π√(L/g)
    Correct
  4. D
    2π√(g/L)

Correct answer

π√(L/g)

Explanation

For a U-tube oscillation, effective length = L/2. T = 2π√(L/2g) = π√(2L/2g)... T = 2π√(L/(2g)). With total liquid length L: T = π√(L/g).

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