   Chapter 14, Problem 68P

Chapter
Section
Textbook Problem

If a human ear canal can be thought of as resembling an organ pipe, closed at one end, that resonates at a fundamental frequency of 3.0 × 103 Hz, what is the length of the canal? Use a normal body temperature of 37.0°C for your determination of the speed of sound in the canal.

To determine
The length of the human ear canal.

Explanation

Given Info: The normal body temperature is 37.0°C .

Formula to calculate the speed of the sound in air is,

v=(331m/s)TK273

• v is the speed of the sound in air,
• TK is the temperature in Kelvin,

Substitute 37.0°C for TK to find v.

v=(331m/s)(37+273K)273=352.7m/s=353m/s

Formula to calculate the fundamental wavelength of the sound is,

λ=vf

• λ is the fundamental wavelength,
• f is the fundamental frequency,
• v is the speed of the sound in air,

Substitute 353 m/s for v and 3

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