Lecture 11 Notes

# Lecture 11 Notes - b )(t/2)cos(w a +w b )(t/2) Intensity is...

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Recap of last lecture open columns f 1 = v/2L, f 2 = v/L, f 3 = 3v/2L closed columns f 1 = v/4L, f 3 = 3v/4L, f 5 = 5v/4L Standing waves in longitudinal waves (sound waves) http:// The_Gas_Tube

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Wave interference 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 Demo
“beats” Watch simulation 10.7 in the study area. Beat frequency = f 1 – f 2 ; where f 1 and f 2 are the frequency of the two interfering waves

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beats Y a (t) = Asin( ϖ a t) Y b (t) = -Asin( ϖ b t) Y(t) = Y a (t) + Y b (t) = 2Asin(w a –w
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Unformatted text preview: b )(t/2)cos(w a +w b )(t/2) Intensity is proportional to Y 2 (t) which goes through two maxima and two minima in 1 cycle, therefore the beat frequency is ( a- b ) You hear a sound with a frequency of 256 Hz. The amplitude of the sound increases and decreases periodically: it takes 2 seconds for the sound to go from loud to soft and back to loud. This sound can be thought of as a sum of two waves with frequencies A. 256Hz and 2 Hz B. 254Hz and 258Hz C. 255Hz and 257Hz D. 255.5Hz and 256.5 Hz E. 255.75 Hz and 256.25 Hz...
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## This note was uploaded on 01/27/2012 for the course PH 2233 taught by Professor Dipinkardutta during the Spring '11 term at Mississippi State.

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Lecture 11 Notes - b )(t/2)cos(w a +w b )(t/2) Intensity is...

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