Two coherent monochromatic sets of waves will interfere constructively in the region of superposition only if the path difference between them is :
Correct answer: B. Integral number of wavelength
- A. Half wavelength
- B. Integral number of wavelength
- C. Quarter wavelength
- D. Odd integral number of half wavelength
Explanation
For two coherent monochromatic sets of waves to interfere constructively in the region of superposition, the path difference between them must be an integral number of wavelengths. This condition ensures that the crests of one wave align with the crests of the other wave, resulting in constructive interference. When the path difference is an integral number of wavelengths, the waves will have corresponding points in phase, meaning the crests and troughs of the waves will align. This alignment leads to the constructive interference of the waves, resulting in a larger combined amplitude at the region of superposition.
This question appeared on the ETEA MDCAT 2008 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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