Electromagnetic WavesHard

Question

The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant $k = 3$ and permeability of $\mu = 2\mu_{0}$, is

( $\mu_{0} =$ permeability of vacuum)

Options

A.$36:1$
B.$3:2$
C.$6:1$
D.$\sqrt{6}:1$

Solution

$\frac{C}{V} = \mu = \sqrt{\varepsilon_{r}\mu_{r}}$

$$\frac{C}{V} = \sqrt{\frac{3 \times 2}{1}} = \frac{\sqrt{6}}{1}$$

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