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 3.0 cm. The speed of sound is 350 m/s. What is the fundamental frequency of the canal? (Interestingly, the fundamental frequency is in the frequency range where human hearing is most sensitive.)

Answer 1

Answer:

2.92 KHz

Explanation:

We are given that

Length of canal,L=3 cm=$\frac{3}{100}=0.03 m$

By using 1 m=100 cm

Speed of sound=v=350 m/s

We have to find the fundamental frequency of the canal.

We know that  fundamental frequency is given by

$f=\frac{v}{4L}$

By using the formula

$f=\frac{350}{4\times 0.03}$

f=2916.67 Hz

$f=\frac{2916.67}{1000}=2.92 KHz$

By using 1 KHz=1000 Hz