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Question 31371
JEE Physics · Hard

Waves on String: Sonometer MCQ

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

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SonometerHardQuestion 31371

Question

Sonometer wire of length L vibrates in p-th harmonic at f₁. Wire length changed to L/q. Frequency now:
  1. A
    qf₁/p
  2. B
    pf₁/q
  3. C
    q²f₁
  4. D
    qf₁
    Correct

Correct answer

qf₁

Explanation

Original: f₁ = pv/(2L). New length L/q, fundamental of new length: f = v/(2×L/q) = qv/(2L). If comparing fundamental: f_new = qv/(2L) = q×(f₁/p)×... This depends on which harmonic is excited. If same harmonic p: f_new = pv/(2×L/q) = qpv/(2L) = qf₁.

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