Sapling Learning Two sets of parallel waves, with the same wavelength but differ

Question

Sapling Learning Two sets of parallel waves, with the same wavelength but different initial phases, are directed at a barrier. Each wave is incident on a single tiny hole in the barrier, as shown in the diagram, where you can assume the lines represent the peaks of the waves. The two holes therefore act as sources of spherical waves, which spread out and interfere with each other. Determine what kind of interference occurs at each labeled point, and sort the points by whether they correspond to regions of completely constructive interference, completely destructive interference, or in-between Constructive Destructive interference interference In-between

Explanation / Answer

we know thatwhen two waves are overlapped so that the crest of one wave overlaped with crest of other wave or trough of one wave with trough of other wave constructive interference takes place

if the waves are overlaped so that crest of one wave with trough of other wave then destructive interference takes place

and the relation between phase difference and path difference

Phase difference = (2pi/lambda) (path difference)

so

constructive interference regions are B

destructive interference regions are E

in between the regions are A,C,D,F

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