Two loudspeakers are placed side by side a distance d = 4.00 m apart. A listener observesmaximum constructive interference while standing in front of the loudspeakers, equidistant fromboth of them. The distance from the listener to the point halfway between the speakers is 1 =5.00 m.One of the loudspeakers is then moved directly away from the other. Once the speaker ismoved a distance r = 60.0 cm from its original position, the listener, who is not moving,observes destructive interference for the first time.Find the speed of sound in the air if both speakers emit a tone of frequency 700 Hz.Figured/2d/2TR1821 of 1 ModelThe two loudspeakers are sources of circular waves. The overlap of these waves causes interference. For simplicity, let us assume that these waves have equal amplitude.VisualizePart AThe picture to the left shows the situation described in this problem. The upper speaker is initially at the same distance from the listener as the other speaker. Then, it is moved upward a distance r = 60.0 cm. The dashedoutline represents its new position. Note that is the distance between the listener and the speaker that has not been moved, whereas r2 is the distance between the listener and the speaker that has been moved. Calculate₁ and 2. (Figure 1)Express your answers in meters to four significant figures, separated by a comma.T1, T2 =SubmitPart B- ΓΙ ΑΣΦRequest Answer?m, mWhat is the phase difference Ado between the sound waves reaching the listener's ear initially, before the upper speaker is moved?Express your answer numerically, in terms of π if necessary.

A) Calculate the distance r1. r1=l2+(d2)2r1=(5 m)2+(4 m2)2r1=5.385 m Calculate the distance r2.…

Two loudspeakers are placed side by side a distance d = 4.00 m apart. A listener observes maximum constructive interference while standing in front of the loudspeakers, equidistant from both of them. The distance from the listener to the point halfway between the speakers is ? = 5.00 m. One of the loudspeakers is then moved directly away from the other. Once the speaker is moved a distance r = 60.0 cm from its original position, the listener, who is not moving, observes destructive interference for the first time. Find the speed of sound in the air if both speakers emit a tone of frequency 700 Hz. Figure d/2 d/2 1 1 of 1

Two loudspeakers are placed side by side a distance d = 4.00 m apart. A listener observes maximum constructive interference while standing in front of the loudspeakers, equidistant from both of them. The distance from the listener to the point halfway between the speakers is ? = 5.00 m. One of the loudspeakers is then moved directly away from the other. Once the speaker is moved a distance r = 60.0 cm from its original position, the listener, who is not moving, observes destructive interference for the first time. Find the speed of sound in the air if both speakers emit a tone of frequency 700 Hz. Figure d/2 d/2 1 1 of 1

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 27P

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Solve Apo = 0 Submit ✓ Correct Because constructive interference is observed when Ar = 0, that is, when the listener is equidistant from the sources, the speakers must be sources of in-phase waves. Part C Find v, the speed of the sound waves in air. Express your answer in meters per second to three significant figures. ► View Available Hint(s) v = 351 m/s Submit Previous Answers Review Part D T₂ = Previous Answers Correct How far (r.) from its original location should the speaker be moved for the listener to experience constructive interference for the second time? Express your answer in meters to three significant figures. ► View Available Hint(s) OF IVE ΑΣΦ ? m
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