When two waves interfere destructively, what is the result?

When two waves interfere destructively, they combine in such a way that their amplitudes subtract from each other. This typically occurs when the crest of one wave aligns with the trough of another, leading to a reduction in overall amplitude. In some cases, if the amplitudes are equal, they can completely cancel each other out, resulting in a condition where there is no net wave present in that region.

This concept is fundamental to understanding wave behavior, as it demonstrates how waves can interact in ways that either amplify or diminish their effects. The cancellation of waves is a key principle in various applications, such as noise-cancelling headphones, where destructive interference is used to neutralize unwanted sounds.