Question

How are the energy and wavelength of electromagnetic radiation are related?

Answer 1

Hint: Electromagnetic radiation is described by the wavelength, amplitude, frequency, and period. All the electromagnetic waves will travel at the speed of light and will have the same lengths and travel only through the matter.

Complete step by step answer:
Whenever a charged particle like an electron changes the velocity, the acceleration also changes, and thus the electromagnetic radiation is produced.
The Electro-Magnetic waves will carry the energy and after the interaction with the matter, they transfer the energy. The energy that is associated with the Electro-Magnetic radiation is directly proportional to the frequency and is inversely proportional to the wavelength. Hence the electromagnetic waves with the shorter wavelengths will have more energy.
It is classified by the wavelength into the infrared wave, visible light, ultraviolet, microwave, radio wave, gamma rays, etc. These have a wide range of wavelengths, frequencies, and photon energy levels and will travel at the speed of the light in the vacuum.
If E is the energy then the wavelength and frequency are related by a constant and mathematically it is written as \[E = \dfrac{{hc}}{\lambda }\] where c = velocity.
So from the above formula, it is clear that when the energy increases, the wavelength decreases, and thus the energy is inversely proportional to the wavelength.

Note:
1. The electromagnetic waves can be reflected, can be refracted, and can transfer energy from one place to the other place.
2. Electromagnetic waves travel very slowly in the solids and fastly in space. It is an electric and magnetic disturbance traveling at the speed of light through space.