JEE Physics · Hard

Simple Harmonic Motion: Parametric Oscillations MCQ

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

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Parametric OscillationsHardQuestion 31190

Question

A child pumping a swing increases amplitude by:
  1. A
    Applying continuous horizontal force
  2. B
    Periodically changing effective pendulum length at twice the swing frequency (parametric resonance)
    Correct
  3. C
    Pushing at resonant frequency always
  4. D
    Adding mass to swing

Correct answer

Periodically changing effective pendulum length at twice the swing frequency (parametric resonance)

Explanation

Standing/squatting on a swing changes its effective length at 2f (twice per cycle). This is parametric resonance — energy is pumped into the oscillator by modulating a parameter.