JEE Physics · Hard

Waves on String: Sonometer MCQ

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SonometerHardQuestion 31331

Question

A wire 1 m long, linear density 0.04 kg/m, under 100 N tension. Frequency of 3rd harmonic is:
  1. A
    37.5 Hz
  2. B
    75 Hz
    Correct
  3. C
    112.5 Hz
  4. D
    150 Hz

Correct answer

75 Hz

Explanation

v = √(100/0.04) = √2500 = 50 m/s. f₁ = 50/(2×1) = 25 Hz. f₃ = 3×25 = 75 Hz.