Question
Calculate the first overtone in an ear canal, which resonates like a 2.40-cm-long tube closed at one end, by taking air temperature to be $37.0^\circ\textrm{C}$. Is the ear particularly sensitive to such a frequency? (The resonances of the ear canal are complicated by its nonuniform shape, which we shall ignore.)
Question Image Figure 17.38 The relationship of loudness in phons to intensity level (in decibels) and intensity (in watts per meter squared) for persons with normal hearing. The curved lines are equal-loudness curves—all sounds on a given curve are perceived as equally loud. Phons and decibels are defined to be the same at 1000 Hz.

$11.0 \textrm{ kHz}$

See Figure 17.38. The ear is not especially sensitive to this frequency. Resonance in the ear canal is either not significant, or it's more complicated than accounted for by this model of the ear canal as a simple tube closed at one end.

Solution Video

# OpenStax College Physics Solution, Chapter 17, Problem 51 (Problems & Exercises) (3:38)  