Question

Sound enters the ear, travels through the auditory canal, and reaches the eardrum. The auditory canal is approximately a tube open at only one end. The other end is closed by the eardrum. A typical length for the auditory canal in an adult is about 2.17 cm. The speed of sound is 348 m/s. What is the fundamental frequency of the canal?

Answer 1

Answer:

4009.21658986 Hz

Explanation:

v = Speed of sound in air = 348 m/s

L = Length of tube = 2.17 cm

Fundamental frequency for a tube where one end is closed and the other end open is given by

$f=\dfrac{v}{4L}\\\Rightarrow f=\dfrac{348}{4\times 2.17\times 10^{-2}}\\\Rightarrow f=4009.21658986\ Hz$

The fundamental frequency of the canal is 4009.21658986 Hz