If the relative permeability and dielectric c | vedclass

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(A) The speed of light in a vacuum is given by $c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$.The speed of light in a medium is given by $v = \frac{1}{\sq

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$\sqrt{\mu_r K}$

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(A) The speed of light in a vacuum is given by $c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$.The speed of light in a medium is given by $v = \frac{1}{\sqrt{\mu \varepsilon}}$,where $\mu = \mu_0 \mu_r$ and $\varepsilon = \varepsilon_0 \varepsilon_r = \varepsilon_0 K$.Substituting these values,we get $v = \frac{1}{\sqrt{\mu_0 \mu_r \varepsilon_0 K}} = \frac{1}{\sqrt{\mu_0 \varepsilon_0}} \cdot \frac{1}{\sqrt{\mu_r K}} = \frac{c}{\sqrt{\mu_r K}}$.The refractive index $n$ is defined as $n = \frac{c}{v}$.Therefore,$n = \frac{c}{c / \sqrt{\mu_r K}} = \sqrt{\mu_r K}$.

If the relative permeability and dielectric constant of a medium are $\mu_r$ and $K$ respectively,then the refractive index $n$ of the medium is:

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