Calculating Speaker Frequencies Using Speed of Sound at Best Buy | Homework Help

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The student conducts an experiment with speakers 4.0 m apart, noticing a quiet spot at a distance of 2.0 m from one speaker and 2.3 m from the other, indicating destructive interference. The speed of sound in the room is 350 m/s, which is crucial for calculating the frequencies. The path length difference of 0.3 m leads to the conclusion that this difference corresponds to half a wavelength, suggesting the wavelength is 0.6 m. Using the relationship between speed, frequency, and wavelength, the possible frequencies can be calculated. Understanding these concepts is essential for determining the frequencies being played by the speakers.
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Homework Statement



A student enters Best Buy prepared to buy a pair of speakers. Before he does so, he conducts an experiment with them. He places the speakers 4.0 m apart and connects a signal generator to both speakers that produces a single and consistent tone. (constant wavelength and frequency) He then walks to a point that is 2.0 m from one speaker and 2.3 m from the other. At that point he notices a quiet “spot”. If the speed of the sound in the room is known to be 350 m/s, calculate the possible frequencies being played by the speakers.

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The Attempt at a Solution



I don't even know where to begin. I don't even know how to go from speed to frequency. Thanks for any and all help
 
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The path length difference produces destructive interference at the point where he stands. What does that tell you about the wavelength (and frequency)?
 
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