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Question 31168
JEE Physics · Hard

Simple Harmonic Motion: Compound Pendulum MCQ

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Compound PendulumHardQuestion 31168

Question

A uniform rod (length L, mass m) pivoted at one end oscillates as a physical pendulum. Time period:
  1. A
    2π√(2L/3g)
    Correct
  2. B
    2π√(L/g)
  3. C
    2π√(L/3g)
  4. D
    2π√(2L/g)

Correct answer

2π√(2L/3g)

Explanation

I = mL²/3, d = L/2. T = 2π√(I/mgd) = 2π√(mL²/3 / (mg×L/2)) = 2π√(2L/3g).

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