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Chapter 17: Q3PE (page 629)
Calculate the speed of sound on a day when a 1500 Hz frequency has a wavelength of 0.221 m.
The speed is 331.5 m/s.
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a) What is the speed of sound in a medium where a 100 kHz frequency produces a 5.96 cm wavelength? (b) Which substance in Table 17.1 is this likely to be?
A commuter train blows its\(200\;{\rm{Hz}}\)horn as it approaches a crossing. The speed of sound is\(335\;{\rm{m/s}}\). (a) An observer waiting at the crossing receives a frequency of\(208\;{\rm{Hz}}\). What is the speed of the train? (b) What frequency does the observer receive as the train moves away?
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.
A physicist at a fireworks display times the lag between seeing an explosion and hearing its sound, and finds it to be\(0.400\;{\rm{s}}\). (a) How far away is the explosion if air temperature is\(24\;{\rm{^\circ C}}\)and if you neglect the time taken for light to reach the physicist? (b) Calculate the distance to the explosion taking the speed of light into account. Note that this distance is negligibly greater.
If a wind instrument, such as a tuba, has a fundamental frequency of 32.0 Hz, what are its first three overtones? It is closed at one end. (The overtones of a real tuba are more complex than this example, because it is a tapered tube.)
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