A speaker is located at the coordinate (0,0) and emits a sound of fre- quency f. A second speaker is located at the coordinate (0, L), and emits the same frequency. Starting at r = 0, we walk along the r axis in the positive direction. a) In terms of the frequency f, separation L, and speed of sound c, at what spot r do the sounds destructively interfere? b) (Extra Credit) In terms of f, L, and e, how many spots on the r axis destructively interfere? Note the function [n] rounds n down to the closest integer.

A speaker is located at the coordinate (0,0) and emits a sound of fre- quency f. A second speaker is located at the coordinate (0, L), and emits the same frequency. Starting at r = 0, we walk along the r axis in the positive direction. a) In terms of the frequency f, separation L, and speed of sound c, at what spot r do the sounds destructively interfere? b) (Extra Credit) In terms of f, L, and e, how many spots on the r axis destructively interfere? Note the function [n] rounds n down to the closest integer.

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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Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

A speaker is located at the coordinate (0,0) and emits a sound of fre-
quency f. A second speaker is located at the coordinate (0, L), and emits the
same frequency. Starting at r = 0, we walk along the r axis in the positive
direction.
a) In terms of the frequency f, separation L, and speed of sound c, at what
spot r do the sounds destructively interfere?
b) (Extra Credit) In terms of f, L, and e, how many spots on the r axis
destructively interfere? Note the function [n] rounds n down to the closest
integer.

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