Chapter 15, Problem 34A

To determine

To calculate: the wavelength of sound in water at $25°\text{C}$ with a frequency of $261.6\text{ Hz}$ .

Answer to Problem 34A

  $5.71\text{ m}$

Explanation of Solution

Given information:

Frequency of sound = $261.6\text{ Hz}$

Temperature of water = $25°\text{C}$

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.

Calculations:

Now, putting values of $f=261.6\text{ Hz}$ and $v=1493\text{ m/s}$ (speed of sound in water at $25°\text{C}$ ), we get $\lambda =5.71\text{ m}$ .

  $\lambda =v/f$

  $\lambda =5.71\text{ m}$

  $v=1493\text{ m/s}$

  $f=261.6\text{ Hz}$