Electromagnetic waves travelling in a medium which has...

Electromagnetic waves travelling in a medium which has relative permeability $1.3$ and relative permittivity $2.14$ speed of electromagnetic waves in this medium will be (A) $3.6 \times 10^{8} \mathrm{~m} / \mathrm{s}$ (B) $1.8 \times 10^{8} \mathrm{~m} / \mathrm{s}$ (C) $1.8 \times 10^{6} \mathrm{~m} / \mathrm{s}$ (D) $13.6 \times 10^{6} \mathrm{~m} / \mathrm{s}$

Electromagnetic waves travelling in a medium which has relative permeability $1.3$ and relative permittivity $2.14$ speed of electromagnetic waves in this medium will be
(A) $3.6 \times 10^{8} \mathrm{~m} / \mathrm{s}$
(B) $1.8 \times 10^{8} \mathrm{~m} / \mathrm{s}$
(C) $1.8 \times 10^{6} \mathrm{~m} / \mathrm{s}$
(D) $13.6 \times 10^{6} \mathrm{~m} / \mathrm{s}$

Key Concepts

Electromagnetic Wave Propagation

Electromagnetic waves are oscillating electric and magnetic fields that travel through space or media. Their behavior, such as speed, reflection, and refraction, is determined by the properties of the medium they traverse, making the study of their propagation essential in fields such as optics, telecommunications, and material science.

Speed of Light in a Medium

The speed at which electromagnetic waves propagate in a medium is lower than the speed of light in a vacuum. This reduced speed is determined by the medium's electrical and magnetic properties, specifically its permittivity and permeability, and is calculated by dividing the speed of light in vacuum by the square root of the product of the medium's relative permittivity and relative permeability.

Relative Permittivity

Relative permittivity, or dielectric constant, is a measure of how an electric field influences and is influenced by a medium. It quantifies the extent to which the medium can be polarized by an electric field, affecting the storage of electrical energy and playing a critical role in determining the speed of electromagnetic waves in that medium.

Relative Permeability

Relative permeability is an indication of how easily a material can support the formation of a magnetic field compared to a vacuum. It influences the magnetic response of the medium and impacts the speed at which electromagnetic waves travel through it, as both permittivity and permeability dictate electromagnetic propagation characteristics.

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