Concept explainers
Why does destructive interference occur when the path lengths from two identical sources differ by half a wavelength?
To Explain:Destructive interference occurs when the path lengths from two identical sources differ by half a wavelength.
Explanation of Solution
Introduction:
There can be either constructive interference or destructive interference between the two waves.
When the crests of one wave overlap with troughs of another wave, then there is destructive interference between two sound waves from two identical sources.
Hence,for overlap between crests of one wave with troughs of another wave, both waves must be out of phase which occurs if the path lengths from two identical sources have a difference of half a wavelength.
Conclusion:
Thus,for destructive interference,the overlap between crests of one wave with troughs of another wave both waves must be out of phase which occurs if the path lengths from two identical sources have a difference of half a wavelength.
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