(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm having trouble solving this problem and I'm unsure why,

"A stereo speaker is located inside a speaker cabinet with an opening 30.9 cm wide. The speaker emits a sound with a frequency of 2620 Hz. Assuming that the speed of sound in air is 343 m/s, find the location along a wall 97.7 m away where a listener will hear the first diffraction minimum. Give this location as a distance from the central axis. "

2. Relevant equations

I believe the relevant equation for this is the equation for the diffraction of waves through a single slit:

wavelength = r

Distance to wall = L

Distance between slits: d

diffraction minimum/maximum: m

With the equation, y = (mrL)/d

3. The attempt at a solution

r = (speed of sound)/(frequency)

r = (343 m/s)/(2620 Hz)

r = 0.131 m

Now since this is the first diffraction minimum, m = 1.

y = (mrL)/d

y = (0.131 m * 97.7 m) / (0.309 m)

y = 41.4 m

This answer is apparently wrong. Can anyone please show me where I went wrong?

Thanks!

- Dillon

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# Simple single-slit sound diffraction

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