Chapter 17: Q46PE (page 630)
What length should an oboe have to produce a fundamental frequency of 110 Hz on a day when the speed of sound is 343 m/s? It is open at both ends.
The length of the tube is 1.56 m.
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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 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?
Suppose a person has a \({\rm{50 - dB}}\)hearing loss at all frequencies. By how many factors of\({\rm{10}}\)will low-intensity sounds need to be amplified to seem normal to this person? Note that smaller amplification is appropriate for more intense sounds to avoid further hearing damage.
What is the intensity in watts per meter squared of\(85.0\;{\rm{dB}}\)sound?
If audible sound follows a rule of thumb similar to that for ultrasound, in terms of its absorption, would you expect the high or low frequencies from your neighbor’s stereo to penetrate into your house? How does this expectation compare with your experience?
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