If 2 waves have the same frequency and amplitude moving over each other but one of them is ahead of the second so that the phase difference is pi "half wave length" so a perfect and complete destructive interference occur,, in that case what happens to the energy? And where does it go?
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This paper answers your question. – Sam Jan 22 '20 at 16:22
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1Does this answer your question? Destructive interference and energy conservation – Emilio Pisanty Jan 22 '20 at 16:37