What Radius Produces Intensity Minimum?

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SUMMARY

The discussion centers on determining the smallest radius \( r \) that produces an intensity minimum for sound waves with a wavelength of 38.0 cm traveling through a tube with a semicircular portion. The key conclusion is that an intensity minimum occurs when one path is half a wavelength longer than the other, leading to destructive interference. The user initially struggled to find relevant equations but ultimately resolved the problem independently.

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Homework Statement



In the figure, sound with a 38.0 cm wavelength travels rightward from a source and through a tube that consists of a straight portion and a semicircle. Part of the sound wave travels through the semicircle and then rejoins the wave that goes directly through the straight portion. This rejoining results in interference. What is the smallest radius r that produces an intensity minimum at the detector?

Also a picture: http://gyazo.com/68576b343c662325703528445328da23

Variables:

d (cm)
r (cm) - needed


Homework Equations



None (that I know of)


The Attempt at a Solution



I honestly have no idea how to solve this, I feel like it is very simple and I am over thinking it. I cannot find any relevant equations, because I feel like I don't have enough information to even need an equation.

Can anyone point me in a better direction here please?
 
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an intensity minimum means that one path is ½ wavelength longer than the other path, so the 2 waves cancel.
 
Nvm, figured it out.
 

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