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

2.92 KHz

Step-by-step explanation:

We are given that

Length of canal,L=3 cm=
`(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=(v)/(4L)`

By using the formula

`f=(350)/(4* 0.03)`

f=2916.67 Hz

`f=(2916.67)/(1000)=2.92 KHz`

By using 1 KHz=1000 Hz