Q. If $\varepsilon_{0}$ and $\mu_{0}$ are respectively, the electric permittivity and the magnetic permeability of free space, $\varepsilon$ and $\mu$ the corresponding quantities in a medium, the refractive index of the medium is
A) $\sqrt{\frac{\mu\varepsilon}{\mu_{0}\varepsilon_{0}}}$
B) $\frac{\mu\varepsilon}{\mu_{0}\varepsilon_{0}}$
C) $\sqrt{\frac{\mu_{0}\varepsilon_{0}}{\mu\varepsilon}}$
D) $\sqrt{\frac{\mu\mu_{0}}{\varepsilon\ \varepsilon_{0}}}$
Explanation
(a) $\mu = \frac{c}{v} = \frac{1/\sqrt{\mu_{o}\varepsilon_{o}}}{1/\sqrt{\mu\varepsilon}} = \sqrt{\frac{\mu\varepsilon}{\mu_{o}\varepsilon_{o}}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.