Question

If the relative permeability and dielectric constant of a given medium are equal to $I_r$ and $K$ respectively, then the refractive index of the medium is equal to _____________

• A. $\sqrt{I_{r}K}$
• B. $\sqrt{I_r{E}_0}$
• C. $\sqrt{I_0{E}_0}$
• D. $\frac{1}{\sqrt{I_{r}K}}$

Answer 1

The correct option is A

$\sqrt{I_{r}K}$

Relative permeability:

1. It is defined as the ratio of material permeability($\mu$) to the permeability of free space(${\mu }_0$).
2. It is denoted by ${\mu }_r$.
3. An example of it is mineral processing design and operations.

A formula to calculate the relative permeability:

${\mu }_r=\frac{\mu }{{\mu }_0}$

Refractive index:

1. It is the value calculated from the ratio.
2. The ratio of the speed of light in a vacuum to that of the second medium of higher density.
3. The variable is most symbolized by the letter $n$.

A formula to calculate the refractive index:

$n=\frac{c}{v}$

here,

$n\to$refractive index

$c\to$speed of light

$v\to$phase velocity of light

Refractive index is equal to the root of the product of the relative permeability and relative dielectric constant.

Hence, the refractive index of the medium is equal to $\sqrt{I_{r}K}$.