Chapter 5, Problem 1QRT

Interpretation Introduction

Interpretation:

The relationship between frequency of electromagnetic radiation and its wavelength has to be explained.

Explanation of Solution

Frequency: It is the number of complete waves passing through a point in a given period of time.  The unit is ${\text{s}}^{\text{-1}}$.  The symbol of frequency is $\text{ν}$

Wavelength:  The distance between adjacent crests or troughs in a wave is called wavelength.  The symbol of wavelength is $\text{λ}$.

The relation between frequency and wavelength is given by,

    $\begin{array}{l}\text{C}\text{=}\text{νλ}\\ \\ \text{ν}\text{=}\frac{\text{C}}{\text{λ}}\end{array}$

From the above relation, it is clear that frequency and wavelength are inversely proportional to each other.  Thus, increase in frequency decreases wavelength and vice-versa.