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MHT CET202617 April 2026Morning ShiftPhysicsWaves and SoundActual

A and B are two wires whose fundamental frequencies are 256 Hz and 382 Hz respectively. When third harmonic of A and the second harmonic of B are sounded together, the number of beats heard in two second will be

Options

  1. A8
  2. B6
  3. C4
  4. D2

Correct answer

A. 8

Step-by-step solution

Fundamental frequency of wire A, f_A = 256 Hz Fundamental frequency of wire B, f_B = 382 Hz Frequency of the third harmonic of A, f₁ = 3 f_A = 3 256 = 768 Hz Frequency of the second harmonic of B, f₂ = 2 f_B = 2 382 = 764 Hz Beat frequency, n = |f₁ - f₂| = |768 - 764| = 4 Hz Number of beats heard in one second is 4 . Number of beats heard in two seconds is 4 2 = 8 .

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