Maximum interference of frequencies

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Homework Help Overview

The problem involves determining the lowest two frequencies that create an interference maximum at a microphone positioned between two speakers that are oscillating in phase. The speakers are 0.650m apart, and the microphone is 2.25m from their midpoint.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the formula L2-L1=mλ to find the wavelength and subsequently the frequency. They express confusion over consistently obtaining an incorrect frequency value. Another participant questions the speed of sound being used in calculations.

Discussion Status

Participants are actively engaging in clarifying the original poster's approach. A potential error in using the speed of light instead of the speed of sound has been identified, which may influence the calculations. The discussion is moving towards resolving the initial misunderstanding.

Contextual Notes

The original poster's calculations are based on the assumption of using the correct speed of sound, which is noted as 343 m/s. There is an implication that the problem may involve further calculations to find the two frequencies, but these steps have not been fully explored yet.

baylorbelle
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A microphone is located on the line connecting two speakers that are 0.650m apart and oscillating in phase. The microphone is 2.25m from the midpoint of the two speakers. What are the lowest two frequencies that produce an interference maximum at the microphone's location?


okay, so i have my diagram:
speakerproblem.jpg


I know that the basic formula is L2-L1=m[tex]\lambda[/tex] , but whenever i do my math, find [tex]\lambda[/tex], and convert it to Hz using f=c/[tex]\lambda[/tex], I keep getting 4.0*10^8. I don't know where I'm messing up or how I need to approach this problem to even get two answers. Any guidance is appreciated!
 
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baylorbelle said:
A microphone is located on the line connecting two speakers that are 0.650m apart and oscillating in phase. The microphone is 2.25m from the midpoint of the two speakers. What are the lowest two frequencies that produce an interference maximum at the microphone's location?

I know that the basic formula is L2-L1=m[tex]\lambda[/tex] , but whenever i do my math, find [tex]\lambda[/tex], and convert it to Hz using f=c/[tex]\lambda[/tex], I keep getting 4.0*10^8. I don't know where I'm messing up or how I need to approach this problem to even get two answers. Any guidance is appreciated!

What speed of sound are you using?

I use 343 m/s in air. What are you using?
 
it figures it would be a simple mistake like that. I was using the speed of light instead of the speed of sound. Thanks for clearing up my careless error.
 
baylorbelle said:
it figures it would be a simple mistake like that. I was using the speed of light instead of the speed of sound. Thanks for clearing up my careless error.

That's a start then. Have you figured out the rest of it ok?
 

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