4. The crest of a Parasaurolophus dinosaur skull contains a nasal passage in the
ID: 1577188 • Letter: 4
Question
4. The crest of a Parasaurolophus dinosaur skull contains a nasal passage in the shape of a long, bent tube open at both setting up the fundamental mode in it. (a) If the nasal passage in a certain Parasaurolophus fossil is 2.0m long, what frequency would have been produced? (b) If that dinosaur could be recreated (as in Jurassic Park), would a person with a hearing range of 60Hz to 20 kHz be able to hear that fundamental mode and, if so, would the sound be high or low frequency? Fossil skulls that contain shorter nasal passages are thought to be those of the female Parasaurolophus. (c) Would that make the female's fundamental frequency higher or lower than the male's?Explanation / Answer
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3.
speed of sound in air V=343 m/s
a)
For pipe A ,with both ends open fudmental frequency is
f=V/2L
300=343/2L
L=0.5717 m
B)
For pipe B ,with one end open the third harmonic frequency is
Here f3B =2f1A=600 Hz
f=3V/4L
600=3*343/4L
L=0.4288 m
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