Optics 7 Question 29

30. If $\varepsilon _0$ and $\mu _0$ are, respectively, the electric permittivity and magnetic permeability of free space, $\varepsilon$ and $\mu$ the corresponding quantities in a medium, the index of refraction of the medium in terms of the above parameters is

$(1992,1 M)$

Show Answer

Solution:

  1. Speed of light in vacuum, $c=\frac{1}{\sqrt{\varepsilon _0 \mu _0}}$ and speed of light in medium, $v=\frac{1}{\sqrt{\varepsilon \mu}}$

Therefore, refractive index of the medium is

$$ \mu=\frac{c}{v}=\frac{1 / \sqrt{\varepsilon _0 \mu _0}}{1 / \sqrt{\varepsilon \mu}}=\sqrt{\frac{\varepsilon \mu}{\varepsilon _0 \mu _0}} $$



NCERT Chapter Video Solution

Dual Pane