Two speakers A and B, separated by a distance y = 2 meters, blast the same tone at f = 774 Hz. You walk along the line from B to towards C with a microphone. Al a) If you walk a positive distance x, what is the difference in the path length traveled by the sound coming from each speaker to you (since this is for any x, you can leave it in terms of arbitrary y for now). b) Assuming a speed of sound of 344 m/s, there are four finite distances T1, T2, T3, and ₁ at which you will hear constructive interference. What are their numerical values? c) How many locations are there with destructive interference? What are they? B 2.00 m C d) There is a critical frequency fe below which you will not find any locations with constructive interference no matter how far you walk. What is this critical frequency? e) There is another critical frequency fa below which you won't find any locations with destructive interference. What is fa?

Two speakers A and B, separated by a distance y = 2 meters, blast the same tone at f = 774 Hz. You walk along the line from B to towards C with a microphone. Al a) If you walk a positive distance x, what is the difference in the path length traveled by the sound coming from each speaker to you (since this is for any x, you can leave it in terms of arbitrary y for now). b) Assuming a speed of sound of 344 m/s, there are four finite distances T1, T2, T3, and ₁ at which you will hear constructive interference. What are their numerical values? c) How many locations are there with destructive interference? What are they? B 2.00 m C d) There is a critical frequency fe below which you will not find any locations with constructive interference no matter how far you walk. What is this critical frequency? e) There is another critical frequency fa below which you won't find any locations with destructive interference. What is fa?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Problem 2
Two speakers A and B, separated by a distance y = 2 meters, blast the same
tone at f = 774 Hz. You walk along the line from B to towards C with a
microphone.
a) If you walk a positive distance x, what is the difference in the path length
traveled by the sound coming from each speaker to you (since this is for any
x, you can leave it in terms of arbitrary y for now).
b) Assuming a speed of sound of 344 m/s, there are four finite distances
T1, T2, T3, and ₁ at which you will hear constructive interference. What are
their numerical values?
c) How many locations are there with destructive interference? What are
they?
AD
B
↑
2.00 m
d) There is a critical frequency fe below which you will not find any locations with constructive interference
no matter how far you walk. What is this critical frequency?
e) There is another critical frequency fa below which you won't find any locations with destructive
interference. What is fa?

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