Chapter 26, Problem 32A

If the frequency of sound is doubled, what change will occur in its speed? What change will occur in its wavelength?

To determine

To Explain:The effect of changing the frequency of a sound wave on its velocity and wavelength.

Answer to Problem 32A

Change in frequency does not change the speed of sound waves; however, the wavelength becomes half as the frequencydoubled.

Explanation of Solution

Introduction:The relation between velocity $\left(v\right)$ , frequency $\left(f\right)$ and wavelength $\left(\lambda \right)$ is:

  $\lambda =\frac{v}{f}$

Velocity is independent on frequency as it depends on the property of the medium. The wavelength, however, is inversely proportional to the frequency and hence it becomes half as the frequency is doubled.