   Chapter 14, Problem 69P

Chapter
Section
Textbook Problem

Some studies suggest that the upper frequency limit of hearing is determined by the diameter of the eardrum. The wavelength of the sound wave and the diameter of the eardrum are approximately equal at this upper limit. If the relationship holds exactly, what is the diameter of the eardrum of a person capable of hearing 2.00 × 104 Hz? (Assume a body temperature of 37.0°C.)

To determine
The diameter of the eardrum of a person capable of hearing 2.00×104Hz .

Explanation

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

Formula to calculate the speed of the sound is,

v=(331m/s)1+TC273

• TC is the temperature of the person in °C ,
• v is the speed of the sound in air,

Substitute 37.0°C for T.

v=(331m/s)1+(37.0°C)273=352.7m/s

The relation between the frequency and wavelength is,

λ=vf

• λ is the diameter of the eardrum,
• v is the speed of the sound in air,
• f is the frequency of the capacity of a person hearing sound,

Substitute 352

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