Question

If ${\epsilon }_0$ and ${\mu }_0$ are respectively, the electric permittivity and magnetic permeability of free space, $\epsilon$ and $\mu$ are the corresponding quantities in a medium the refractive index of the medium is

• A. $\sqrt{\frac{\mu \epsilon }{{\mu }_0{\epsilon }_0}}$
• B. $\sqrt{\frac{{\mu }_0{\epsilon }_0}{{\epsilon }_0}}$
• C. $\frac{\mu \epsilon }{{\mu }_0{\epsilon }_0}$
• D. ${\left(\frac{\mu \epsilon }{{\mu }_0{\epsilon }_0}\right)}^2$

Answer 1

Answer: (A)

: Refractive index of medium $=\frac{Velocityinvacuum}{Velocityinmedium}$ $\therefore$ $\mu =\frac{1/\sqrt{{\mu }_0{\epsilon }_0}}{1/\sqrt{\mu \epsilon }}$ or $\mu =\sqrt{\frac{\mu \epsilon }{{\mu }_0{\epsilon }_0}}$