Chapter 1, Problem 1A.5E

Interpretation Introduction

Interpretation:

The following types of photons of electromagnetic radiation have to be arranged in order of increasing energy.

  $\gamma -$ rays, visible light, ultraviolet radiation, microwaves, X- rays

Concept Introduction:

The relationship between wavelength, frequency and speed of light is given below.

  $\lambda \times \nu =c$

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

Energy of a photon can be expressed mathematically as given below.

  $E=h\nu =\frac{hc}{\lambda }$

The wavelengths of electromagnetic radiation and their corresponding frequencies are given below in the table.

Radiation type	Frequency / $\left({10}^{14}Hz\right)$	Wavelength / $\left(nm\right)$	Energy of photon / $\left({10}^{-19}J\right)$
x-rays and $\gamma$- rays	$\ge {10}^3$	$\le 3$	$\ge {10}^3$
Ultraviolet	$8.6$	$350$	$5.7$
Visible light
Violet	$7.1$	$420$	$4.7$
Blue	$6.4$	$470$	$4.2$
Green	$5.7$	$530$	$3.8$
Yellow	$5.2$	$580$	$3.4$
Orange	$4.8$	$620$	$3.2$
Red	$4.3$	$700$	$2.8$
Infrared	$3.0$	$1000$	$2.0$
Microwaves and radio waves	$\le {10}^{-3}$	$\ge 3\times {10}^6$	$\le {10}^3$