Destructive Interference Question

AI Thread Summary
The discussion revolves around a student's experiment with speakers to explore destructive interference. The speakers are positioned 4.0 m apart, and the student measures distances of 2.0 m and 2.3 m from each speaker, identifying a quiet spot indicative of destructive interference. To find the possible frequencies, the relationship between wave speed, frequency, and wavelength is emphasized, with the formula v = f * λ being crucial. The speed of sound in the room is given as 350 m/s, which is necessary for calculations. Understanding the conditions for destructive interference is essential for solving the problem.
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1. 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.

2. Homework Equations



3. 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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What's the condition for destructive interference?

For a wave, speed, frequency, and wavelength are related by v=f*lambda.
 
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