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Lecture 12 Notes

# Lecture 12 Notes - Recap of last lecture Just like other...

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Recap of last lecture When the frequency of two sound waves is the same: Destructive interference when the distance between the speaker is λ /2, 3 λ /2, 5 λ /2… Constructive interference when the distance between the speakers is 0, λ , 2 λ , 3 λ When frequency is not the same: Just like other waves sound waves interfere We get beats with beat frequency= f 1 -f 2 Watch simulation 10.7 in the study area.

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Problem 16.39 Two organ pipes, open at one end but closed at the other are each 1.14m long. If one of them is lengthened by 2cm find the beat frequency when they are both played at their fundamental frequency. Fundamental frequency for closed pipe is f 1 = v/4L = 344/4.56 = 75.4 Hz (for 1.14m pipe) f 1 ’ = 344/4.64 = 74.1 Hz (for 1.16 m pipe) Therefore Beat frequency = 75.4 – 74.1 = 1.3 Hz
Problem 16.34 Two loudspeakers, A and B are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 2.0 m to the right of speaker A. The frequency of the sound produced by the loudspeaker is 206 Hz. Consider point P between the speakers and along the line connecting them, a distance x will to the right of speaker A. a) For what value of will there be destructive interference at point P and b) what value of will there be constructive interference. c) Interference effects like these are never a factor in home stereos, why?

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Problem 16.34 The wavelength is λ = v/f = 344/206 = 1.67 m.
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Lecture 12 Notes - Recap of last lecture Just like other...

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