Chapter 15, Problem 33A

To determine

Frequency of sound that has a wavelength of $3.5$ mm.

Answer to Problem 33A

  $98\times {10}^3\text{ Hz}$

Explanation of Solution

Given information:

Wavelength of sound emitted by bats = $3.5\text{ mm}$

Formula Used:

As per the relationship between wavelength, frequency and speed of a wave

  $\lambda =v/f$

Where $\lambda$ is the wavelength of the wave, $v$ is the speed of the wave and $f$ is the frequency of the wave.

Calculation:

Now, putting values of $\lambda =3.5\text{ mm}$ and $v=343\text{ m/s}$ (speed of sound in air), $f=98\times {10}^3\text{ Hz}$

  $\lambda =v/f$

  $\lambda =3.5\text{ mm}$

  $v=343\text{ m/s}$

  $f=98\times {10}^3\text{ Hz}$