# Simple single-slit sound diffraction

by Ownaginatious
Tags: diffraction, simple, singleslit, sound
 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
 HW Helper P: 4,430 What is the condition for destructive interference in terms of path difference?
P: 38
 Quote by rl.bhat What is the condition for destructive interference in terms of path difference?
I'm sorry, I'm not sure I follow. Are you giving me a hint, or asking me something in regards to the problem?

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

HW Helper
P: 4,430

## Simple single-slit sound diffraction

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