- #1
Ownaginatious
- 38
- 0
Homework Statement
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. "
Homework 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
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