6. Two speakers, emitting identical sound waves of wavelength 4.0 m in phase with each other, are located side- by-side 8.0 m apart. A microphone is placed directly in front of the left-most speaker, a distance of 6.0 m in front of it. (a) What is the path difference for waves from the two speakers to the point where the microphone is placed? (b) At the location of the microphone will the sound waves interfere constructively, destructively, or some- thing in between? (c) The microphone is moved 9.0 m further away from (but still directly in front of) the left-most speaker, for a total distance of 15.0 m from that speaker. What are the path difference and expected type of inter- ference at the microphone's new location?

6. Two speakers, emitting identical sound waves of wavelength 4.0 m in phase with each other, are located side- by-side 8.0 m apart. A microphone is placed directly in front of the left-most speaker, a distance of 6.0 m in front of it. (a) What is the path difference for waves from the two speakers to the point where the microphone is placed? (b) At the location of the microphone will the sound waves interfere constructively, destructively, or some- thing in between? (c) The microphone is moved 9.0 m further away from (but still directly in front of) the left-most speaker, for a total distance of 15.0 m from that speaker. What are the path difference and expected type of inter- ference at the microphone's new location?

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 Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

6. Two speakers, emitting identical sound waves of wavelength 4.0 m in phase with each other, are located side-
by-side 8.0 m apart. A microphone is placed directly in front of the left-most speaker, a distance of 6.0 m in
front of it.
(a) What is the path difference for waves from the two speakers to the point where the microphone is placed?
(b) At the location of the microphone will the sound waves interfere constructively, destructively, or some-
thing in between?
(c) The microphone is moved 9.0 m further away from (but still directly in front of) the left-most speaker,
for a total distance of 15.0 m from that speaker. What are the path difference and expected type of inter-
ference at the microphone's new location?

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