Constructive interference occurs when the path difference between two coherent waves is
Correct answer: B. a whole number of wavelengths
- A. an odd number of half wavelengths
- B. a whole number of wavelengths
- C. always zero
- D. one quarter of a wavelength
Explanation
A path difference of a whole number of wavelengths brings the waves back into phase, so the crests coincide and the amplitude is a maximum. An odd number of half wavelengths puts them in antiphase and gives destructive interference. Zero path difference is simply the special case of the central maximum.
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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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