Maximum interference of frequencies

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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:
Diagram of two speakers marked X, 0.650 m apart, with a microphone labelled Mic 2.25 m from the midpoint; red and green paths trace distances L1 and L2 from each speaker to the microphone.


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?