Textbook Problem

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Wavelength and Frequency

Make a sketch representing the wave nature of light, and label the wavelength. Suppose the sketch you just made corresponds to visible light. How would UV light be different? How would infrared light be different?

Interpretation Introduction

Interpretation:

A sketch representing the wave nature of visible light with wavelength is to be made. Also, the differences between visible light, UV light, and infrared light are to be defined.

Concept introduction:

The distance between two consecutive crests or two consecutive troughs of a wave is called the wavelength of the wave.

The arrangement of light according to the wavelength associated with it is called a spectrum.

Electromagnetic radiation with a certain wavelength is called light.

The relation between the wavelength and frequency of the radiation is as follows:

$\lambda =\frac{c}{\nu }$

Here, $\lambda$ is the wavelength of radiation, $c$ is the speed of light and $\nu$ is frequency.

Explanation of Solution

The relation between the wavelength and frequency of the wave is as follows:

$\lambda =\frac{c}{\nu }$

This implies that wavelength of a light wave is inversely proportional to the frequency of the wave