Electromagnetic waves travel in a medium with speed of . The relative permeability of the medium is 2.0. The relative permittivity will be:

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Solution

Q.
Electromagnetic waves travel in a medium with speed of $1.5 \times 10^{8}$ $m s^{- 1}$ . The relative permeability of the medium is 2.0. The relative permittivity will be: [2024]

1 2

2 1

3 5

4 4

Ans.
(1)

$Speed of light in vacuum = \frac{1}{\sqrt{μ_{0} ϵ_{0}}} = 3 \times 10^{8}$

$Speed of light in medium = \frac{1}{\sqrt{μ_{0} \in_{0}} \cdot \sqrt{μ_{r} \in_{r}}} = \frac{3}{2} \times 10^{8}$

$Also, given, ϵ_{r} = 2, therefore, μ_{r} = 2$

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