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Question 31350
JEE Physics · Hard

Waves on String: Sonometer MCQ

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SonometerHardQuestion 31350

Question

Sonometer wire resonates at 200 Hz in 1st harmonic. When length is reduced by 25%, resonant frequency in 1st harmonic:
  1. A
    150 Hz
  2. B
    250 Hz
  3. C
    266.7 Hz
    Correct
  4. D
    300 Hz

Correct answer

266.7 Hz

Explanation

f₁ ∝ 1/L. L → 0.75L: f₁ → f/0.75 = 200/0.75 = 266.7 Hz.

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