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type of interference

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A person stands between two speakers driven by the same source. Each speaker produces a tone with a frequency of 200 Hz on a day when the speed of sound is 330 m/s. The person is 1.65 m from one speaker and 4.95 m from the other. What type of interference does the person sense?
a: constructive
b: destructive
c: both constructive and destructive
d: neither constructive nor destructive.

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Solution Summary

The type of interference is revealed for a given situation. The person which stands between two speakers driven by the same source are given.

Solution Preview

First, we use the wave equation to determine the wavelength of the sound produced by the speakers:

c = f*l

where c is the speed of sound, f is the frequency, and l is the wavelength. Re-arranging gives us:

l = c/f = (330 m/s)/(200 Hz) = 1.65 m

At the listener's location, the cycle of the wave is determined by the distance from the speaker divided ...

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