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

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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 1 =
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
TR
1
82
1 of 1
Transcribed Image Text: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 1 = 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 TR 1 82 1 of 1
Model
The 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.
Visualize
Part A
The 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 dashed
outline 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. Calculate
₁ and 2. (Figure 1)
Express your answers in meters to four significant figures, separated by a comma.
T1, T2 =
Submit
Part B
- ΓΙ ΑΣΦ
Request Answer
?
m, m
What 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.
Transcribed Image Text:Model The 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. Visualize Part A The 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 dashed outline 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. Calculate ₁ and 2. (Figure 1) Express your answers in meters to four significant figures, separated by a comma. T1, T2 = Submit Part B - ΓΙ ΑΣΦ Request Answer ? m, m What 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.
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