Two speakers send out identical single-frequency sound waves, in phase, that hav

Question

Two speakers send out identical single-frequency sound waves, in phase, that have a wavelength of 0.300 m. As shown in the figure below, the speakers are separated by 3.60 m. Three lines, labeled A through C, are also shown in the figure. Line A is part of the perpendicular bisector of the line connecting the two sources. If you stand at one end of line C, the path-length difference is 2.05 m.

a. How many points are there along line C at which the interference between the waves from the two speakers is completely destructive?

Explanation / Answer

p.d. = path difference

for destructive interference,

p.d. = (n +1/2) * wavelength ;(n = 0,

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