JEE Physics · Hard

Simple Harmonic Motion: Resonance MCQ

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

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ResonanceHardQuestion 31152

Question

At resonance, amplitude in a lightly damped system is:
  1. A
    Zero
  2. B
    Equal to static displacement
  3. C
    Very large (Q-factor times static amplitude)
    Correct
  4. D
    Exactly A₀

Correct answer

Very large (Q-factor times static amplitude)

Explanation

At resonance, amplitude = F₀/(mω₀) × Q where Q = quality factor = ω₀m/b. High Q (low damping) → very large amplitude.