Question

Average human ears can hear sound frequencies in the range of about 20 Hz to 20,000 Hz. If the speed of sound in air is 340 m/s, then sound with which of the following wavelengths would be audible by the average person?5.0 m25 m80 m0.001 m

Answer 1

Given

The range of frequencies audible to human is n=20 Hz to n'=20,000 Hz

Speed of sound is v=340 m/s.

To find

Sound with which of the following wavelengths would be audible by the average person?

Step-by-step explanation

We know,

velocity is given by

`v=n\lambda`

Thus,

`\begin{gathered} \lambda=(v)/(n) \\ \Rightarrow\lambda=(340)/(20)=17\text{ m} \end{gathered}`

Again,

`\begin{gathered} \lambda^(\prime)=(v)/(n^(\prime)) \\ \Rightarrow\lambda^(\prime)=(340)/(20000)=0.017\text{ m} \end{gathered}`

Thus the sound between wavelength 0.017 m to 17 m would be audible.

Conclusion

The sound audible to the human is 5 m