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Question 31185
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Simple Harmonic Motion: Nonlinear Oscillations MCQ

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Nonlinear OscillationsHardQuestion 31185

Question

For a pendulum with large amplitude (θ not small), time period compared to small-angle period is:
  1. A
    Shorter
  2. B
    Longer
    Correct
  3. C
    Same
  4. D
    Zero

Correct answer

Longer

Explanation

For large angles, restoring force (mg sinθ < mgθ) is weaker than small-angle approximation assumes. Weaker restoring force → longer period. T ≈ T₀(1 + θ₀²/16 + ...).

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