Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears...

Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin and speaker 1 is at x = 0.500m . If speaker 1 is slowly moved forward, the sound intensity decreases and then increases, reaching another maximum when speaker 1 is at x =0.850m .

A)What is the frequency of the sound? Assume vsound =340m/s.

B)What is the phase difference between the speakers?

Solutions

Expert Solution

I have solved this question earlier with different figures. Please workout using yours figures. If you need any further help just PM me. If I have helped you please rate me 5 stars first (before you rate anyone else)

Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin and speaker 1 is at x=0.480m. If speaker 1 is slowly moved forward, the sound intensity decreases and then increases, reaching another maximum when speaker 1 is at x=0.950 m.

What is the frequency of the sound? Assume velocity of sound is 340m/s.
What is the phase difference between the speakers?

Speakers & listener are all located on x-axis
Let y = lambda the wavelength
m y = .48 the speakers are located m wavelengths apart for first max
(m y + y) = .95 now the speakers are (m + 1) wavelenghts apart
y = .47 subtracting first equation from second equation
f = v / y = 340 / .47 = 723 / sec frequency
Since the wavelength is .47 then speaker 2 would need to be at
.01 meters if the two were exactly in phase but speaker 2 is
1/47 wavelength ahead of speaker 1 and since 1 wavelength is
360 deg then speaker is 1/47 * 360 = 7.7 deg ahead of speaker 1

genius_generous answered 10 months ago

Next > < Previous

Related Solutions

Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears...

Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin and speaker 1 is at x = 0.540m . If speaker 1 is slowly moved forward, the sound intensity decreases and then increases, reaching another maximum when speaker 1 is at x =0.930m . What is the phase difference between the speakers?

Two loudspeakers emit sound waves along the x-axis. The sound has maximum intensity when the speakers...

Two loudspeakers emit sound waves along the x-axis. The sound has maximum intensity when the speakers are 19 cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 29 cm. What is the wavelength of the sound? Express your answer using two significant figures. If the distance between the speakers continues to increase, at what separation will the sound intensity again be a maximum? Express your answer using two significant...

Two in-phase loudspeakers emit identical 1000 Hz sound waves along the x-axis. What distance should one...

Two in-phase loudspeakers emit identical 1000 Hz sound waves along the x-axis. What distance should one speaker be placed behind the other for the sound to have an amplitude 1.90 times that of each speaker alone?

Two loudspeakers, 1.1 mm apart, emit sound waves with the same frequency along the positive xx-axis....

Two loudspeakers, 1.1 mm apart, emit sound waves with the same frequency along the positive xx-axis. Victor, standing on the axis to the right of the speakers, hears no sound. As the frequency is slowly tripled, Victor hears the sound go through the sequence loud-soft-loud-soft-loud before becoming quiet again. What was the original sound frequency? Assume room temperature of 20∘C∘C. Express your answer with the appropriate units. please write the answer neatly, another post similar to this one was difficult...

Two small loudspeakers emit sound waves of different frequencies equally in all directions. Speaker A has...

Two small loudspeakers emit sound waves of different frequencies equally in all directions. Speaker A has an output of 1.30 mW, and speaker B has an output of 1.60 mW. Two speakers A and B are represented as points which serve as the centers of concentric circles representing sound waves emanating from the speakers. The concentric circles about speaker A are spaced more closely together than the concentric circles about speaker B. The points lie along a horizontal line, and...

Two speakers spaced a distance 1.5 m apart emit coherent sound waves at a frequency of 680 Hz in all directions. The waves start out in phase with each other.

Two speakers spaced a distance 1.5 m apart emit coherent sound waves at a frequency of 680 Hz in all directions. The waves start out in phase with each other. A listener walks in a circle of radius greater than 1 m centered on the midpoint of the two speakers. At how many points does the listener observe destructive interference? The listener and the speakers are all in the same horizontal plane and the speed of sound is 340 m/s....

Two speakers face each other, and they each emit a sound of wavelength (lambda). One speaker...

Two speakers face each other, and they each emit a sound of wavelength (lambda). One speaker is 180 (degrees) out of phase with respect to the other. If we separate the speakers by a distance1.5 (lambda),how far from the left-most speaker should we place a microphone in order to pick up the loudest sound? Ignore reflections from nearby surfaces. Select all that apply. 3/4 lambda 0 lambda 1/2 lambda 1/4 lambda 1 lambda

(numbers 20-21) Two speakers emit the same pure tone (sound of a single frequency) and are...

(numbers 20-21) Two speakers emit the same pure tone (sound of a single frequency) and are in phase. 20. An observer begins at the center point between the speakers and slowly moves toward one of the speakers. The second very quiet spot encountered (completely destructive interference) is 1.5 m from the center. What is the wavelength of the sound? a) 1.0 m b) 1.5 m c) 2.0 m d) 2.5 m e) 3.0 m 21. If the distance between the...

1. The wavelength of sound waves from two speakers is 336.4cm long. a) If a person...

1. The wavelength of sound waves from two speakers is 336.4cm long. a) If a person were standing at the end of the wavelength, what would they hear? Explain. b) What can be said about ∆?/? , the ratio of the path length difference from the two speakers compared to the wavelength of the speakers?

Two loudspeakers on a concert stage are vibrating in phase. A listener is 45.9 m from...

Two loudspeakers on a concert stage are vibrating in phase. A listener is 45.9 m from the left speaker and 34.7 m from the right one. The listener can respond to all frequencies from 20 to 20 000 Hz, and the speed of sound is 343 m/s. What is the lowest frequency that can be heard loudly due to constructive interference?

Subjects