The following two lists give the diameters and sound frequencies for three loudspeakers. Pair each diameter with a frequency, so that the diffraction angle is the same for each of the speakers, and then find the common diffraction angle. Take the speed of sound to be 343 m/s. Diameter, D 0.024 m 0.12 m 0.048 m 0 = Number i Frequency, f 12.5 kHz 25 kHz 5 kHz Units

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Chapter1: Units, Trigonometry. And Vectors
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The following two lists give the diameters and sound frequencies for three loudspeakers. Pair each diameter with a frequency, so that
the diffraction angle is the same for each of the speakers, and then find the common diffraction angle. Take the speed of sound to be
343 m/s.
Diameter, D
0.024 m
0.12 m
0.048 m
0 = Number i
Frequency, f
12.5 kHz
25 kHz
5 kHz
Units
Transcribed Image Text:The following two lists give the diameters and sound frequencies for three loudspeakers. Pair each diameter with a frequency, so that the diffraction angle is the same for each of the speakers, and then find the common diffraction angle. Take the speed of sound to be 343 m/s. Diameter, D 0.024 m 0.12 m 0.048 m 0 = Number i Frequency, f 12.5 kHz 25 kHz 5 kHz Units
Expert Solution
Step 1: Given data

The speed of sound: v equals 343 space straight m divided by straight s

Find the product of diameter and frequency such that it gives the same angle. Therefore, the correct pairs are,

Diameter                                Frequency
  0.12 space straight m space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 5 space kHz
0.024 space straight m space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 25 space kHz
0.048 space straight m space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 12.5 space kHz
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