If two speakers emit sound at same frequency and phase, maximum loudness occurs when path difference equals:

Correct answer: B. one whole wavelength

  • A. half a wavelength
  • B. one whole wavelength
  • C. a quarter of a wavelength
  • D. three quarters of a wavelength

Explanation

A path difference of a whole number of wavelengths brings the two waves back into phase so their crests coincide, giving constructive interference and maximum loudness. An odd number of half wavelengths puts them in antiphase and produces a quiet point instead. The Greek symbol for wavelength did not print cleanly in the original paper.

This question appeared on the UHS MDCAT 2025 paper, which you can sit online with every answer explained.

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About Superposition and Interference

Superposition states that overlapping waves produce a resultant displacement equal to the algebraic sum of their individual displacements. Interference covers constructive and destructive interference, phase difference, path difference, coherent sources, and conditions for maxima and minima. It differs from diffraction, which involves spreading around openings or obstacles.

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