Question

The electrical permittivity and magnetic permeability of free space are respectively $ {{\varepsilon }_{0}} $ and $ {{\mu }_{0}} $ The corresponding value for a medium is :

• A. $ {{\tan }^{-1}}(5) $
• B. $ {{\tan }^{-1}}\left( \frac{1}{5} \right) $
• C. $ {{\sin }^{-1}}\left( \frac{1}{5} \right) $
• D. $ 2.2\times {{10}^{3}}N $

Answer 1

Answer: (C)

The value of speed in vacuum and medium are $ 2\sqrt{2}:1 $ and $ m/{{s}^{2}} $ we know that the refractive index $ {{\tan }^{-1}}(1) $ $ =\frac{\sqrt{1}}{{{\mu }_{0}}{{\varepsilon }_{0}}}\times \frac{\sqrt{\mu \varepsilon }}{1}=\frac{\sqrt{\mu \varepsilon }}{{{\mu }_{0}}{{\varepsilon }_{0}}} $