Calculating Maximum Oscillation: Point Sources and Out of Phase Waves

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The discussion focuses on calculating the shortest distances for maximum oscillation caused by two point sources emitting sound waves out of phase. The participants confirm the wavelength calculation using the speed of sound in air, which is approximately 1.1 meters. They discuss the formula for path difference and how to derive the distances for maximum oscillation, arriving at values of 0.275, 0.825, and 1.1375 meters. There is a discrepancy between their answers and those in the textbook "Fundamentals of Physics" by Halliday and Resnick, leading to further inquiry about the book's accuracy. The conversation emphasizes the importance of correct calculations and understanding wave interference principles.
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[SOLVED] Out of Phase waves

Homework Statement



Straight line AB connects two point sources that are 5.00m apart, emit 300Hz sound waves of the same amplitude, and emit exactly out of phase. (a) What is the shortest distance between the midpoint of AB and a point on AB where the interfering waves cause maximum oscillation of the air molecules? What are the (b) second and (c) third shortest distance?

Homework Equations

and

The Attempt at a Solution



(delta L)/(wavelength) = .5, 1.5, 2.5 ...
(wavelength) = v/f = (velocity of molecules in the air)/f = 330/300 = 1.1m <- I don't think . that is right
(delta L) = (2.5 + x) - (2.5 - x) = 2.5 + x - 2.5 + x = 2x

I am I approaching this right, if not do you have any suggestions to sat me straight.
 
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Can anyone please help me? I have spent hours on this and just need to know if anyone has suggestion on the approach to get me started.
 
why is no one helping, I don't know what to do?
 
LandOfStandar said:
(delta L)/(wavelength) = .5, 1.5, 2.5 ...
Good.
(wavelength) = v/f = (velocity of molecules in the air)/f = 330/300 = 1.1m <- I don't think . that is right
Also good, if you take the speed of sound in air (which is not the velocity of the molecules) to be 330 m/s. (Sound speed depends on temperature, but close enough.)
(delta L) = (2.5 + x) - (2.5 - x) = 2.5 + x - 2.5 + x = 2x
Good. You are on the right track. Don't stop now.
 
the answer in the book don't match mine
 
If I continue
I get ...
(2x)/(1.1) = .5, 1.5, 2.5 ...
x= (.5, 1.5, 2.5 ...)(1.1)/(2) = 0.275, 0.825, 1.1375
answers 0, 0.572, 1.14
 
I agree with your answers, not the book's. What book are you using?
 
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