Calculating Frequencies of Speakers using Interference Patterns

AI Thread Summary
The discussion revolves around calculating the frequencies of sound produced by speakers based on interference patterns. A student conducts an experiment with two speakers placed 4.0 m apart and measures distances of 2.0 m and 2.3 m from each speaker, noting a quiet spot indicative of destructive interference. The relevant equation for this scenario involves the path difference (PD) and wavelength (λ), leading to the formula f = v/(λ). Participants seek clarification on the meaning of PD and the calculation steps leading to the frequency expression. Understanding the relationship between the distances and the interference pattern is crucial for solving the problem accurately.
Hannahj1
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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 speakers4.0 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.

Homework Equations


PD = (n-1/2) λ

The Attempt at a Solution


f = v/(lambda) = 350/6(2n + 1). Am i on the right track? I don't really understand how the 2m and 2.3 m is involved in this question.
 
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Hello,

Well, what does the PD in your relevant equation stand for ?

By the way, I don't really understand the step from there to 350/6(2n + 1), so if yuo could explain what you are doing a little bit ?
 
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