Question

The speed of an electromagnetic wave in a material medium is given by $v={\displaystyle \frac{1}{\sqrt{\mu \epsilon }}}$ , $\mu$ being the permeability of the medium and $\epsilon$ its permittivity. How does its frequency change?

Answer 1

Hint: Electromagnetic waves (EMs), transmitting energy and momentum across space turn electric and magnetic fields. EM waves are Maxwell equation solutions, the main electrodynamics equations. No medium is required, EM waves will move in empty space. One form of electromagnetic wave is sinusoidal waves of the plane. Not all EM waves are sine waves, but any electromagnetic wave can be interpreted as a linear overlay of the sine waves in arbitrary directions.

Complete step by step solution:
In view of the new applications of EM waves, especially on newer and higher frequencies, this interest appears to increase. The propagation of the EM wave depends primarily on its frequency (or wavelength). And if an EM wave interacts with an object / material, it is mirrored, refracted, dispersed, attenuated, diffracted, or absorbed. Each of those effects depends on the EM wave(s) frequency since the wavelength size (relative to the object / material) is significant.

Because of the wide spectrum of EM waves used in a variety of applications these days, the results are various. This often confuses the science community, since it is sometimes unknown how often the consequences are most prominent.

The intrinsic characteristic of electromagnetic waves is their frequency. When an electric wave is travelling from media to media, it changes the wavelength, but the frequency is constant.

Note: QM considers photons as quanta or energy bundles. Quantum mechanics However, those quanta do not behave as macroscopic particles. We assume that in the case of a macroscopic particle, its position and its speed can be determined randomly at any moment. Since we did this, we can randomly forecast its eventual motion with accuracy and consistency. However, we can only estimate the likelihood of locating the photon at a given location on any photon. This chance can be determined using the electromagnetic wave equation. When the wave equation predicts a high intensity of light, the likelihood is big and the likelihood is small if it predicts a low intensity of light.