Chapter 14.2, Problem 24PP

To determine

The change in wavelength if the speed of wave increases to 1.5 times its original speed and frequency is constant.

Answer to Problem 24PP

It states that change in $1.5$ times speed of wave will change the wavelength of wave $1.5$ times to its original length.

Explanation of Solution

Introduction:

Wavelength is the distance calculated between two consecutive points of the wave which are in the same phase, whereas the number of waves produced from the source per second is represented as frequency.

The relation of wavelength and frequency is described below:

  $\frac{v}{f}=\lambda$

Where,

  $\lambda$ is the wavelength, T is the period and v is the speed.

When the frequency is constant, change in wavelength changes the speed of the wave. Wavelength and speed of wave are directly related to each other. This means increased 1.5 times the speed of wave increases 1.5 times of wavelength of wave.

Conclusion:

Hence, a change in 1.5 times speed of wave will change the wavelength of wave 1.5 times to its original length.