Two loudspeakers in a plane, 6.0 m apart, are playing the same frequency. If you stand 13.0 m in front of the plane of the speakers, centered between them, you hear a sound of maximum intensity. As you walk parallel to the plane of the speakers, staying 13.0 m in front of them, you first hear a minimum of sound intensity when you are directly in front of one of the speakers. What is the frequency of the sound? Assume a sound speed of 340 m/s.

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Chapter1: Units, Trigonometry. And Vectors
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Assignment 5- Interference
This assignment is meant for practice and will not be collected or marked.
Question 1:
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=0.510 m. If speaker 1 is slowly moved
forward, the sound intensity decreases and then increases, reaching another maximum when speaker 1 is
at x = 0.910 m.
a) What is the frequency of the sound? Assume Vsound =340 m/s.
b) What is the phase difference between the speakers?
Question 2:
You are standing 2.5 m directly in front of one of the two loudspeakers
shown in the figure. They are 3.0 m apart and both are playing a 687 Hz
tone in phase. As you begin to walk directly away from the speaker, at
what distance from the speaker do you hear the next minimum sound
intensity?
Answers: a) 850 Hz b) -1.73 rad
2.5 m
3.0 m
Walk
Answers: 2.98 m
Question 3:
Two loudspeakers in a plane, 6.0 m apart, are playing the same frequency. If you stand 13.0 m in front of
the plane of the speakers, centered between them, you hear a sound of maximum intensity. As you walk
parallel to the plane of the speakers, staying 13.0 m in front of them, you first hear a minimum of sound
intensity when you are directly in front of one of the speakers. What is the frequency of the sound?
Assume a sound speed of 340 m/s.
Answers: 129 Hz
Question 4:
A speaker fixed to a moving platform moves toward a wall, emitting a steady sound with a frequency of
245 Hz. A person on the platform right next to the speaker detects the sound waves reflected off the wall
and those emitted by the speaker. How fast should the platform move, vp, for the person to detect a bea
frequency of 2.00 Hz? Take the speed of sound to be 344 m/s.
Answers: 1.40 m/s
PHY-NYC
Х
BLI
Transcribed Image Text:J 00 品 05-Interfer... ஆ NYC-Midte... X NYC-Pr... ✓ + NYC-Probl... Assignment 5- Interference This assignment is meant for practice and will not be collected or marked. Question 1: 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=0.510 m. If speaker 1 is slowly moved forward, the sound intensity decreases and then increases, reaching another maximum when speaker 1 is at x = 0.910 m. a) What is the frequency of the sound? Assume Vsound =340 m/s. b) What is the phase difference between the speakers? Question 2: You are standing 2.5 m directly in front of one of the two loudspeakers shown in the figure. They are 3.0 m apart and both are playing a 687 Hz tone in phase. As you begin to walk directly away from the speaker, at what distance from the speaker do you hear the next minimum sound intensity? Answers: a) 850 Hz b) -1.73 rad 2.5 m 3.0 m Walk Answers: 2.98 m Question 3: Two loudspeakers in a plane, 6.0 m apart, are playing the same frequency. If you stand 13.0 m in front of the plane of the speakers, centered between them, you hear a sound of maximum intensity. As you walk parallel to the plane of the speakers, staying 13.0 m in front of them, you first hear a minimum of sound intensity when you are directly in front of one of the speakers. What is the frequency of the sound? Assume a sound speed of 340 m/s. Answers: 129 Hz Question 4: A speaker fixed to a moving platform moves toward a wall, emitting a steady sound with a frequency of 245 Hz. A person on the platform right next to the speaker detects the sound waves reflected off the wall and those emitted by the speaker. How fast should the platform move, vp, for the person to detect a bea frequency of 2.00 Hz? Take the speed of sound to be 344 m/s. Answers: 1.40 m/s PHY-NYC Х BLI
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