Textbook Problem

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What is the relationship between the wavelength of light, its color, and the energy of its photons?

Interpretation Introduction

Interpretation:

The relation between the wavelength of light, the energy of photons of light, and the color of light is to be described.

Concept introduction:

The distance between two identical crests or two identical trough of a wave of light is called the wavelength of light.

A small packet of energy associated with light (electromagnetic radiation) is called a photon.

The electromagnetic spectrum is the range of wavelength above which the electromagnetic radiation extends.

Explanation of Solution

The relation between the wavelength of light and the energy of a photon of light is as follows:

${{\rm E}}_{\text{photon}}\propto \frac{1}{\lambda }$

Here, ${{\rm E}}_{\text{photon}}$ is the energy of a photon of light and $\lambda$ is the wavelength of light.

This means the wavelength of light is inversely proportional to the energy of a photon of light