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Destructive interference refers to when two waves collide "out-of-phase" in that the peak of one wave interacts with the trough of another, resulting in a smaller, weaker wave. Basically you can think of two waves that don't line up.
Destructive interference is when two waves meet and the crest of one matches with the trough of the other and vise versa. The resulting wave is smaller. if waves exhibit destructive interference on each other, they're said to be "out of phase" with each other.
destructive interference occurs when two interfering waves are out of phase, which means when one of the two interfering wave's highest peak occurs the same time the other wave's lowest peak. Another way to describe destructive interference is when one of the interfering wave's peaks coincide with the other wave's troughs. Depending on the amplitudes of the waves, the resultant wave would have the resultant of the difference in the interfering waves' amplitudes.
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