Chapter 5.1, Problem 14SSC

Interpretation Introduction

Interpretation:

The given rays need to be matched with their respective property.

Concept introduction:

Electromagnetic radiation can be defined as the waves of the electromagnetic field which can propagate through space and also carries the electromagnetic radiant energy. Radio waves, microwaves, infrared, light, ultraviolet, X-rays, and gamma rays are some common example of electromagnetic radiations.

Answer to Problem 14SSC

Wavelength	Electromagnetic radiation
(a) longest wavelength	(3) Radio waves
(b) Highest frequency	(1) Gamma rays
(c) Greatest energy	(1) Gamma rays

Explanation of Solution

Given information:

The frequency, wavelength and energy are related to each other.

The relation between the wavelength, energy and frequency of the electromagnetic radiations is as given below:

$\begin{array}{l}\text{E = hν = }\frac{\text{hc}}{\text{λ}}\\ \text{Here:}\\ \text{ν = frequency}\\ \text{c = speed of light }\\ \text{λ = wavelength}\\ \text{h= Planck's constant }\\ \text{E = energy}\end{array}$

Thus the radiation with longest wavelength must have least energy and lowest frequency whereas the radiation with shortest wavelength will have highest energy and greatest frequency.

Wavelength	Electromagnetic radiation
(a) longest wavelength	(3) Radio waves
(b) Highest frequency	(1) Gamma rays
(c) Greatest energy	(1) Gamma rays

Conclusion

The radiation with longest wavelength must have least energy and lowest frequency, whereas the radiation with shortest wavelength will have highest energy and greatest frequency.