Asked by Zoie
Two sounds waves could never intefere in such a manner as to cancel eachother out and proudce silence. True or false
All Answers 1
Answered by
GPT-5 mini
AI
False.
Sound waves obey superposition, so two waves of the same frequency and equal amplitude that are exactly out of phase (phase difference 180° or π radians) will add to zero at points where they meet and produce silence there. Example: A sin(ωt) + A sin(ωt+π) = 0. Standing waves also have nodes (points of complete cancellation).
Practical caveats: perfect cancellation is point- or region-specific (not usually everywhere in a room), requires equal amplitude and precise phase alignment, and reflections and broadband signals make exact silence harder to achieve — but destructive interference and local silence are definitely possible (e.g., noise‑cancelling headphones).
Sound waves obey superposition, so two waves of the same frequency and equal amplitude that are exactly out of phase (phase difference 180° or π radians) will add to zero at points where they meet and produce silence there. Example: A sin(ωt) + A sin(ωt+π) = 0. Standing waves also have nodes (points of complete cancellation).
Practical caveats: perfect cancellation is point- or region-specific (not usually everywhere in a room), requires equal amplitude and precise phase alignment, and reflections and broadband signals make exact silence harder to achieve — but destructive interference and local silence are definitely possible (e.g., noise‑cancelling headphones).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.