Destructive intereference in a wave

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SUMMARY

The discussion centers on achieving complete destructive interference in wave mechanics. The user initially attempted solutions using the equations 0 + πn and 0 + 3πn, which were incorrect. The correct approach involves using the formula π + 2πn to achieve the desired destructive interference. This conclusion is based on the principles of wave phase shifts and their impact on interference patterns.

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Homework Statement



wtf.jpg

Homework Equations



None really.

The Attempt at a Solution



I know that to make a wave completely destructive to the original I'd have to add pi, so I tried the answer 0+pi*n, which was wrong. I also tried 0 + 3pi*n, which would shift the wave to another destructive position but that wasn't correct either. Would any of you guys know what I'm doing wrong or overlooking? Thanks a lot!

I'm thinking that it may be pi + 2*pi*n, but I want to get some opinions before I try submitting.
 
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