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Chapter 12: Q25P (page 328)
Question: (I) Estimate the number of octaves in the human audible range, 20 Hz to 20 kHz.
The number of octaves in the human audible range is 10.
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If two firecrackers produce a combined sound level of 85 dB when fired simultaneously at a certain place, what will be the sound level if only one is exploded? [Hint: Add intensities, not dBs.]
Question: (I) A piano tuner hears one beat every 2.0 s when trying to adjust two strings, one of which is sounding 350 Hz. How far off in frequency is the other string?
Question: The intensity at the threshold of hearing for the human ear at a frequency of about \({\bf{1000}}\,{\bf{Hz}}\)is \({{\bf{I}}_{\bf{0}}}{\bf{ = 1}}{\bf{.0 \times 1}}{{\bf{0}}^{{\bf{ - 12}}}}\,{\bf{W/}}{{\bf{m}}^{\bf{2}}}\), for which\({\bf{\beta }}\), the sound level, is \({\bf{0}}\,{\bf{dB}}\). The threshold of pain at the same frequency is about\({\bf{120}}\,{\bf{dB}}\), or \({\bf{I = 1}}{\bf{.0}}\,{\bf{W/}}{{\bf{m}}^{\bf{2}}}\)corresponding to an increase of intensity by a factor of \({\bf{1}}{{\bf{0}}^{{\bf{12}}}}\)By what factor does the displacement amplitude,\({\bf{A}}\), vary?
Question: (II) Approximately what are the intensities of the first two overtones of a violin compared to the fundamental? How many decibels softer than the fundamental are the first and second overtones? (See Fig. 12鈥�15.)
A musical note that is two octaves higher than a second note
(a) has twice the frequency of the second note.
(b) has four times the frequency of the second note.
(c) has twice the amplitude of the second note.
(d) is 3 dB louder than the second note.
(e) None of the above.
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