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Q.

A plane electromagnetic wave is propagating in a transparent medium having relative permeability 1.6 and relative permittivity 1.8, Then refractive index of the medium is

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a

1.33

b

1.62

c

1.7

d

1.5

answer is C.

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Detailed Solution

Velocity of propagation of electromagnetic wave in the medium, $v = \frac{1}{\sqrt{με}}$
Velocity of light in vacuum, $c = \frac{1}{\sqrt{μ_{0} ε_{0}}}$
$∴$ Refractive index:

$\begin{array}{l} n = \frac{c}{v} = \sqrt{\frac{μ}{μ_{0}} \times \frac{ε}{ε_{0}}} = \sqrt{μ_{r} ε_{r}} = \sqrt{1 .6 \times 1 .8} \\ = \sqrt{2 .88} ≃ 1 .7 \end{array}$

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