Wave Interference and sound waves

AI Thread Summary
The discussion focuses on a homework problem involving two loudspeakers emitting sound waves and the listener's experience of sound intensity. The listener perceives maximum intensity at specific positions of the speakers, indicating constructive interference. To find the frequency of the sound, the velocity of sound (340 m/s) is used along with the relationship between distance and wavelength. The phase difference between the speakers can be determined by considering the positions where maximum intensity occurs, with the distance between speakers being an integer multiple of the wavelength. The problem emphasizes the importance of understanding wave interference principles to solve for frequency and phase difference.
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Homework Statement



Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin and speaker 1 is at x= 0.540 m. If speaker 1 is slowly moved forward, the sound intensity decreases and then increases, reaching another maximum when speaker 1 is at x=0.950 m.

a: What is the frequency of the sound? Assume velocity of sound=340 m/s
b: What is the phase difference between the speakers?

Homework Equations


The only equation I could relate to this would be the maximum constructive interference equation: 2pi * \Deltax/\lambda+ phase shift= m*2pi


The Attempt at a Solution


I'm not sure what m would be or what value I would be solving for in part a

help please?
 
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thr is no restriction on m..so you can simply choose it by urslf..
well i took it 1...
for part one...simple clue...
distance between two speakers shud be integer multiple of lambda...
so in one case take it m and in 2nd take it (m+1)...
 

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