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Question 31391
JEE Physics · Hard

Waves on String: Amplitude in Resonance MCQ

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

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Amplitude in ResonanceHardQuestion 31391

Question

At resonance in a driven string with quality factor Q, amplitude relative to off-resonance amplitude is:
  1. A
    Q times larger
    Correct
  2. B
    √Q times larger
  3. C
    Q² times larger
  4. D
    Same

Correct answer

Q times larger

Explanation

At resonance, amplitude = Q × F₀/(mω₀²) = Q × static deflection. Higher Q (lower damping) → larger resonant amplitude.

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