Chapter 14, Problem 84A

To determine

The effect on wavelength of a wave as frequency increases.

Explanation of Solution

Introduction:

The frequency and wavelength of wave are inter-related. Waves are dependent on three parameters, velocity, wavelength and frequency. As frequency increases the wavelength decreases.

The relation of velocity frequency and wavelength is given by,

  $\lambda =\frac{v}{f}$    .......(1)

Here $\lambda$ is the wavelength, $v$ is the velocity of wave and $f$ is the frequency. The wavelength of a wave is inversely proportional to the frequency at constant velocity. As frequency increases wavelength decreases.

Conclusion:

Hence, wavelength decreases as frequency increases.