The figure shows an air-filled, 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 82.0 units at one position of the movable arm and continuously climbs to a maximum value of 1000 units when that arm is shifted by 2.44 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. (Take the speed of sound to be 343 m/s.) (a) Number i Units (b) Number i Units +

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter27: Wave Optics
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Problem 38P
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The figure shows an air-filled, 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 82.0 units at one position of the movable arm and continuously climbs to a maximum value of 1000 units when
that arm is shifted by 2.44 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. (Take the speed of sound to be 343 m/s.)
(a) Number i
Units
(b) Number
i
Units
+
Transcribed Image Text:The figure shows an air-filled, 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 82.0 units at one position of the movable arm and continuously climbs to a maximum value of 1000 units when that arm is shifted by 2.44 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. (Take the speed of sound to be 343 m/s.) (a) Number i Units (b) Number i Units +
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