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Simple singleslit sound diffraction 
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#1
Apr609, 10:52 PM

P: 38

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 


#2
Apr609, 11:19 PM

HW Helper
P: 4,435

What is the condition for destructive interference in terms of path difference?



#3
Apr609, 11:37 PM

P: 38

If the former, doesn't one sound wave have to be out of phase with the other by pi? 


#4
Apr709, 12:03 AM

HW Helper
P: 4,435

Simple singleslit sound diffraction
Sorry. I am thinking about the stereo speaker. Whether it is a single source problem or the double source?



#5
Apr709, 12:13 AM

P: 38

Well, I'm guessing it's a single speaker because it doesn't really specify a second one in the question.



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