Question

The electrical permittivity and magnetic permeability of free space are respectively ${\epsilon }_0$ 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 ${\tan }^{-1}(1)$ $=\frac{\sqrt{1}}{{\mu }_0{\epsilon }_0}\times \frac{\sqrt{\mu \epsilon }}{1}=\frac{\sqrt{\mu \epsilon }}{{\mu }_0{\epsilon }_0}$