Chapter 17: Q.60PE (page 630)
Can you tell that your roommate turned up the sound on the TV if its
average sound intensity level goes from \({\rm{70dB}}\) to \({\rm{73dB}}\)?
Yes, it is possible to tell the roommate turned up the sound because the difference between sound levels is in noticeable range.
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The frequencies to which the ear responds vary by a factor of \[{\rm{1}}{{\rm{0}}^{\rm{3}}}\]. Suppose the speedometer on your car measured speeds differing by the same factor of \[{\rm{1}}{{\rm{0}}^{\rm{3}}}\], and the greatest speed it reads is \[{\rm{90}}{\rm{.0}}\;{\rm{mi/h}}\]. What would be the slowest nonzero speed it could read?
The factor of \({\rm{1}}{{\rm{0}}^{{\rm{ - 12}}}}\)in the range of intensities to which the ear can respond, from threshold to that causing damage after brief exposure, is truly remarkable. If you could measure distances over the same range with a single instrument and the smallest distance you could measure was\(1\;{\rm{mm}}\), what would the largest be?
The ear canal resonates like a tube closed at one end. (SeeFigure\(17.39\).) If ear canals range in length from\(1.80\)to\(2.60\;{\rm{cm}}\)in an averagepopulation, what is the range of fundamental resonant frequencies? Takeair temperature to be\(37.0{\rm{^\circ C}}\), which is the same as body temperature.How does this result correlate with the intensity versus frequency graph(Figure\(17.37\)of the human ear?
What are the first three overtones of a bassoon that has a fundamental frequency of 90.0 Hz? It is open at both ends. (The overtones of a real bassoon are more complex than this example, because its double reed makes it act more like a tube closed at one end.)
If a sound intensity level of\(0\;{\rm{dB}}\)at\(1000\;{\rm{Hz}}\)corresponds to a maximum gauge pressure (sound amplitude) of\(1{0^{ - 9}}\;atm\), what is the maximum gauge pressure in a\(60\;{\rm{dB}}\)sound? What is the maximum gauge pressure in a\(120\;{\rm{dB}}\)sound?
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