If {mu_r} is the relative permeability and K | vedclass

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(C) 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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(C) 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 $\varepsilon = \varepsilon_0 \varepsilon_r = \varepsilon_0 K$.Here,$\mu_r$ is the relative permeability and $K$ is the dielectric constant (relative permittivity).The refractive index $n$ is defined as the ratio of the speed of light in a vacuum to the speed of light in the medium:$n = \frac{c}{v} = \frac{\frac{1}{\sqrt{\mu_0 \varepsilon_0}}}{\frac{1}{\sqrt{\mu \varepsilon}}} = \sqrt{\frac{\mu \varepsilon}{\mu_0 \varepsilon_0}} = \sqrt{\frac{\mu_0 \mu_r \varepsilon_0 K}{\mu_0 \varepsilon_0}} = \sqrt{\mu_r K}$.Therefore,the correct option is $C$.

If ${\mu_r}$ is the relative permeability and $K$ is the dielectric constant of a medium,its refractive index $n$ is given by:

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