Chapter 5, Problem 68A

Interpretation Introduction

Interpretation : The wavelength of a wave changes if the frequency of the wave is multiplied by 1.5 is to be described.

Concept Introduction : The separation between the crests is known as the wavelength.

The wavelength is inversely proportional to frequency.

Answer to Problem 68A

The wavelength of a wave decreases by 1.5 if the frequency of the wave is multiplied by 1.5

Explanation of Solution

The relationship between wavelength and frequency is given as

  $\lambda =\frac{c}{\nu }$

Where, $\lambda$ is wavelength, $c$ is the velocity of light and $\nu$ is the frequency.

The frequency is how often waves cycle through a specific point in a unit of time.

If the frequency is multiplied by 1.5, then the wavelength is decreased by 1.5.

This is because the frequency and wavelength are inversely proportional.