The crest of a Parasaurolophus dinosaur skull contains a nasalpassage in the sha

Question

The crest of a Parasaurolophus dinosaur skull contains a nasalpassage in the shape of a long, bent tube open at both ends. Thedinosaur may have used the passage to produce sound by setting upthe fundamental mode in it. (a) If the nasalpassage in a certain Parasaurolophus fossil is 2.44 m long, whatfrequency would have been produced? (b) If thatdinosaur could be recreated (as in Jurassic Park), would a personwith a hearing range of 60 Hz to 20 kHz be able to hear thatfundamental mode (1 denotes "yes", 0 - "no") and, if so,(c) would the sound be high (denote 1) or low(denote 0) frequency? Fossil skulls that contain shorter nasalpassages are thought to be those of the female Parasaurolophus.(d) Would that make the female's fundamentalfrequency higher (denote 1) or lower (denote 0) than the male's?Assume the speed of sound is 343 m/s

Explanation / Answer

the fundamental mode is n = 1 f = frequency n = mode v = velocity of sound in air L= lenght of tube the equation for open end is f = (nv)/ (2 L) a )2.44*343/(2*2.44) = 70 Hz b)yes c)Low d) higher since the L decrease would lead to a higherf

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