The crest of a Parasaurolophus dinosaur skull contains a nasal passage in the sh

Question

The crest of a Parasaurolophus dinosaur skull contains a nasal passage in the shape of a long, bent tube open at both ends. The dinosaur may have used the passage to produce sound by setting up the fundamental mode in it. (a) If the nasal passage in a certain Parasaurolophus fossil is 2.25 m 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 60 Hz to 20 kHz be able to hear that fundamental mode and, if so, (c) would the sound be high or low frequency? Fossil skulls that contain shorter nasal passages are thought to be those of the female Parasaurolophus. (d) Would that make the female's fundamental frequency higher or lower than the male's? Assume the speed of sound is 343 m/s.

There is no figure given

Explanation / Answer

(a) for a pipe openat both ends, f= n v/2L

n= number of mode, v= velocity=343, L= 2.25 m

for fundamental frequency, n=1

f= 343/(2*2.25)

f=76.2 Hz.

(b)yes the person with a hearing range of 60 Hz to 20 kHz will be be able to hear that fundamental mode.

(c)the sound will be low frequency.

(d) As the frequency is inversly prportional to the length, so lower length of tube means higher fundamental frequency.

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