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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSound Waves

Which of the following expressions best describes the sound produced when we clap our hands? Here, p indicates the change in pressure from the equilibrium value.

Options

  1. Ap = p₀ kx t
  2. Bp = , p_ 0n (k_n x - _n t)
  3. Cp = p₀ kx t
  4. Dp = p₀ (kx - t)

Correct answer

B. p = , p_ 0n (k_n x - _n t)

Step-by-step solution

A clap produces a sound pulse, which is a complex, non-periodic wave. According to Fourier's theorem, any complex wave or pulse can be expressed as a superposition of many simple harmonic waves of different frequencies, amplitudes, and wavelengths. Therefore, the sound of a clap is best described by the sum of multiple travelling waves, given by p = , p_ 0n (k_n x - _n t) . Options (1) and (3) represent standing waves, while option (4) represents a single harmonic travelling wave (a pure tone).

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