Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Waves

Question:

If $ε_0$ and $\mu_0$ represent the permittivity and permeability of vacuum and ε and $\mu$ represent the permittivity and permeability of medium, then refractive index of the medium is given by

Options:

$\sqrt{\frac{\mu_0ε_0}{\mu ε}}$

$\sqrt{\frac{\mu ε}{\mu_0ε_0}}$

$\sqrt{\frac{\mu }{\mu_0ε_0}}$

$\sqrt{\frac{\mu_0ε_0}{\mu }}$

Correct Answer:

$\sqrt{\frac{\mu ε}{\mu_0ε_0}}$

Explanation:

Refractive index $ = \frac{c}{v}=\frac{1/\sqrt{\mu_0ε_0}}{1/\sqrt{\mu ε}}$

$=\sqrt{\frac{\mu ε}{\mu_0ε_0}}$