Destructive interference Sound question

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Homework Help Overview

The problem involves sound interference, specifically focusing on destructive interference created by two speakers placed at a distance apart. A student conducts an experiment to observe the effects of sound waves at a specific location relative to the speakers.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the concept of path difference and its relation to destructive interference. Questions are raised about the meaning of the provided equation and how it applies to the scenario.

Discussion Status

The discussion is ongoing, with participants exploring the conditions under which destructive interference occurs and seeking to clarify the underlying concepts. Some guidance has been offered regarding the relationship between path difference and nodal lines.

Contextual Notes

Participants are navigating the implications of the given parameters, such as the distance between the speakers and the observed quiet spot, while also considering the known speed of sound in the room.

zee abadin
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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.

Homework Equations


PD = (n-1/2) λ

The Attempt at a Solution


No idea how to solve.
 
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How is a quiet spot generated?

What does your equation mean?
 
PD = path difference, so N would be the nodal line.
I guess quiet spots are generated during points of destructive interference? Am I correct?
 
Yes. So now you need to figure out where this is occurring in the problem.
 

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