The electric permittivity and magnetic permeability of free...

The electric permittivity and magnetic permeability of free space are $\varepsilon_{0}$ and $\mu_{0}$, respectively. The index of refraction of the medium, if $\varepsilon$ and $\mu$ are the electric permittivity and magnetic permeability in a medium is : (a) $\frac{\varepsilon \mu}{\varepsilon_{0} \mu_{0}}$ (b) $\left(\frac{\varepsilon \mu}{\varepsilon_{0} \mu_{0}}\right)^{1 / 2}$ (c) $\frac{\varepsilon_{0} \mu_{0}}{\varepsilon \mu}$ (d) $\left(\frac{\varepsilon_{0} \mu_{0}}{\varepsilon \mu}\right)^{1 / 2}$

The electric permittivity and magnetic permeability of free space are $\varepsilon_{0}$ and $\mu_{0}$, respectively. The index of refraction of the medium, if $\varepsilon$ and $\mu$ are the electric permittivity and magnetic permeability in a medium is :
(a) $\frac{\varepsilon \mu}{\varepsilon_{0} \mu_{0}}$
(b) $\left(\frac{\varepsilon \mu}{\varepsilon_{0} \mu_{0}}\right)^{1 / 2}$
(c) $\frac{\varepsilon_{0} \mu_{0}}{\varepsilon \mu}$
(d) $\left(\frac{\varepsilon_{0} \mu_{0}}{\varepsilon \mu}\right)^{1 / 2}$

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Key Concepts

Magnetic Permeability

Magnetic permeability quantifies the ability of a material to support the formation of a magnetic field within itself. It represents the degree to which a medium can be magnetized in response to an applied magnetic field. This property, along with electric permittivity, determines how electromagnetic waves, particularly light, propagate through the medium.

Electric Permittivity

Electric permittivity is a measure of how much electric field is 'permitted' to permeate through a medium. It quantifies the ability of a material to polarize in response to an electric field, thereby reducing the overall field within the material. In the context of electromagnetic wave propagation, its value directly influences the speed at which these waves travel through the medium.

Index of Refraction

The index of refraction is a dimensionless number that indicates how much the speed of light is reduced inside a medium compared to its speed in vacuum. It is mathematically defined as the ratio of the speed of light in vacuum to that in the medium, and it depends on both the electric permittivity and magnetic permeability of the medium. This relationship is essential in understanding how light bends when transitioning between different media.

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