Two identical speakers (labeled 1 and 2) are playing a tone with a frequency of

Question

Two identical speakers (labeled 1 and 2) are playing a tone with a frequency of 255 Hz, in phase. The centers of the speakers are located 6.00 m apart. Five observers are standing on a line that is 6.00 m in front of the speakers as shown in the figure. Each observer is separated by 1.00 m and Bob is directly in front of speaker 1. Determine which observer or observers will experience constructive interference from the sound emitted by the speakers. The speed of sound is 343 m/s for this problem. 6.00 m Sue Cal Tom Bob Pam 2 6.00 m Bob Sue TomCal Pam

Explanation / Answer

If path difference is multiple of wavelength ,then there will be constructive interference

Wavelength=343/255=1.345m

Path difference for Bob=8.486 which is not multiple of wavelength

For Sue

Path difference=1.73

For Tom

=0.88*

For Cal

=0

So it will be constructibe interference for Cal

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