The human outer ear contains a more-or-less cylindrical cavity called the audito

Question

The human outer ear contains a more-or-less cylindrical cavity called the auditory canal that behaves like a resonant tube to aid in the hearing process. One end terminates at the eardrum (tympanic membrane), while the other opens to the outside. Typically, this canal is approximately 2.4 cm long.
A. At what frequencies would it resonate in its first two harmonics?

f1,f2

B. What are the corresponding sound wavelengths in part A?
Express your answers using two significant figures separated by a comma.

Explanation / Answer

f1 = 2*v/4L = 6875Hz
f2 = 3*v/4L = 10312.5Hz

1 = v/f1 = 0.048m = 4.8cm

2 = v/f2 = 0.032m = 3.2cm

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