# If εo and μo represent the permittivity and permeability of vacuum and ε and μ represent the permittivity and permeability of medium , then refractive index of the medium is given by

Q: If εo and μo represent the permittivity and permeability of vacuum and ε and μ represent the permittivity and permeability of medium , then refractive index of the medium is given by

(a) $\large \sqrt{\frac{\epsilon_0 \mu_0}{\epsilon \mu }}$

(b) $\large \sqrt{\frac{\epsilon \mu }{\epsilon_0 \mu_0}}$

(c) $\large \sqrt{\frac{\epsilon }{\epsilon_0 \mu_0}}$

(d) $\large \sqrt{\frac{\epsilon_0 \mu_0}{\epsilon }}$

Sol: $\large \mu = \frac{c}{v}$

$\large \mu = \frac{1/\sqrt{\mu_0 \epsilon_0}}{1/\sqrt{\mu \epsilon}} = \sqrt{\frac{\mu \epsilon}{\mu_0 \epsilon_0}}$

Ans: (b)