Question

If $ {{\varepsilon }_{0}} $ and $ {{\mu }_{0}} $ are respectively, the electric permittivity and magnetic permeability of free space, $ \varepsilon $ and $ \mu $ are the corresponding quantities in a medium the refractive index of the medium is

• A. $ \sqrt{\frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}} $
• B. $ \sqrt{\frac{{{\mu }_{0}}{{\varepsilon }_{0}}}{{{\varepsilon }_{0}}}} $
• C. $ \frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}} $
• D. $ {{\left( \frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}} \right)}^{2}} $

Answer 1

Answer: (A)

: Refractive index of medium $ =\frac{Velocity\text{ }in\text{ }vacuum}{Velocity\text{ }in\text{ }medium} $ $ \therefore $ $ \mu =\frac{1/\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}}{1/\sqrt{\mu \varepsilon }} $ or $ \mu =\sqrt{\frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}} $