a) Assume the speed of sound is 343 m/s in a room. What is the wavelength produced by a tuning fork at 262 Hz? (this is approximately the frequency of middle C on a piano)

Physics for Scientists and Engineers: Foundations and Connections
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Chapter18: Superposition And Standing Waves
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Problem 12PQ: Two speakers, facing each other and separated by a distance d, each emit a pure tone of the same...
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a) Assume the speed of sound is 343 m/s in a room. What is the wavelength produced by a
tuning fork at 262 Hz? (this is approximately the frequency of middle C on a piano)
b) Let there be two speakers, A and B, emitting sound with matched phase. If a
microphone is originally exactly between A and B (so that the distance to each is L), how
far to the left do we need to move it so that the microphone detects destructive
interference?
c) Would a person at the position in (b) hear anything? Why?
d) If the microphone moves vertically on the page (let this be the y-axis) how does the total
intensity vary with vertical distance? Let each speaker emit intensity lo a distance 1
meter from the source.
e) How long would it take for a sound pulse to travel from A to B if L = 100 meters?
%3|
Transcribed Image Text:a) Assume the speed of sound is 343 m/s in a room. What is the wavelength produced by a tuning fork at 262 Hz? (this is approximately the frequency of middle C on a piano) b) Let there be two speakers, A and B, emitting sound with matched phase. If a microphone is originally exactly between A and B (so that the distance to each is L), how far to the left do we need to move it so that the microphone detects destructive interference? c) Would a person at the position in (b) hear anything? Why? d) If the microphone moves vertically on the page (let this be the y-axis) how does the total intensity vary with vertical distance? Let each speaker emit intensity lo a distance 1 meter from the source. e) How long would it take for a sound pulse to travel from A to B if L = 100 meters? %3|
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