You are standing 2.5 mm directly in front of one of the two loudspeakers shown in the figure. They are 3.0 mm apart and both are playing a 686 HzHz tone in phase. (Figure 1) You may assume that the room is 20∘∘C in this example such that the speed of sound is 343 m/s. Part A What is the largest distance from the top speaker at which you would hear a minimum sound intensity? dmax = 17.9 m

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter35: Diffraction And Interference
Section: Chapter Questions
Problem 26PQ
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You are standing 2.5 mm directly in front of one of the two loudspeakers shown in the figure. They are 3.0 mm apart and both are playing a 686 HzHz tone in phase. (Figure 1) You may assume that the room is 20∘∘C in this example such that the speed of sound is 343 m/s.

Part A

What is the largest distance from the top speaker at which you would hear a minimum sound intensity?
dmax =
17.9
m

Part B

In the previous part, you figured out that the difference in path length between the two speakers must be a multiple of a half wavelength to get destructive interference. A path length difference of exactly half of a wavelength gave you the answer above. What distance will result if the path difference is 1.5 λ?
d2 =
5.63
m
 

Part C

What distance will result if the path difference is 2.5 λ?
 
 
 
 
d3 =
 
m
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