Problem 4:Two identical loudspeakers send identical sound waves out to a listener at x = 20 m. Thespeakers are respectively located at (0;0) m and (0;7.61) m. The frequency of the two waves isslowly increased from a very low value. Give the first four wavelengths at which minimumsound will be hear.

Step 1: Data provided in the problem Position of speaker one (0,0) m, Position of speaker two…

Answered: Problem 4: Two identical loudspeakers…

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

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 10P

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Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?
(a) What is the speed of sound in a medium where a 100kHz frequency produces a 5.96cm wavelength? (b) Which substance in Table 17.1 is this likely to be?
When poked by a spear, an operatic soprano lets out a 1200—Hz shriek. What is its wavelength if the speed of sound is 345 m/s?
Your ear is capable of differentiating sounds that arrive at each ear just 0.34 ms apart, which is useful in determining where low frequency sound is originating from. (a) Suppose a low-frequency sound source is placed to the right of a person, whose ears are approximately 18 cm apart, and the speed of sound generated is 340 m/s. How long is the interval between when the sound arrives at the right ear and the sound arrives at the left ear? (b) Assume the same person was scuba diving and a low-frequency sound source was to the right of the scuba diver. How long is the interval between when the sound arrives at the right ear and the sound arrives at the left ear, if the speed of sound in water is 1500 m/s? (c) What is significant about the time interval of the two situations?
The shortest distance between a sound source (S,) and a reflecting wall is 25 m. The sound is reflected at an angle of a, = 45° to a listener (L,). (a) What is the shortest distance between the sound source and the listener, (x1)? (b) The sound is also reflected to another listener (L2) at an angle of a2= 80°. What is the length of the reflector between the two reflection points, (x2)? X2 = ? Reflector a2 a1 L2 L1 S1 X1 = ?
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Two in-phase loudspeakers are placed 6.00 m apart along one wall of a room. They emit sound with a frequency of 512Hz. Starting at the location of one of the loudspeakers, a microphone is moved in a direction perpendicular to the wall until constructive interference is detected for the first time. How far is the microphone from the wall at that point? The speed of sound in air is 330 m/s. a) 0.203 m b) 0.282 m c) 0.664 m d) 0.138 m 0.141 m
an airfilled, acoustic interferometer, used to demonstrate the interference of sound waves. Sound source S is an oscillating diaphragm; D is a sound detector, such as the ear or a microphone. Path SBD can be varied in length, but path SAD is fixed. At D, the sound wave coming along path SBD interferes with that coming along path SAD. In one demonstration, the sound intensity at D has a minimum value of 100 units at one position of the movable arm and continuously climbs to a maximum value of 900 units when that arm is shifted by 1.65 cm. Find (a) the frequency of the sound emitted by the source and (b) the ratio of the amplitude at D of the SAD wave to that of the SBD wave. (c) How can it happen that these waves have different amplitudes, considering that they originate at the same source?
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