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If \(c\) is the speed of electromagnetic waves in vacuum, its speed in a medium of dielectric constant \(K\) and relative permeability \(\mu_r\) is

1. \(\dfrac{c}{\sqrt{K\mu_r}}\)
2. \(c\sqrt{K\mu_r}\)
3. \(\dfrac{c}{K\mu_r}\)
4. \(cK\mu_r\)

Correct answer: \(\dfrac{c}{\sqrt{K\mu_r}}\)

Solution

The speed of electromagnetic waves in a medium is \(v=\frac{1}{\sqrt{\mu\epsilon}}\). Using \(\mu=\mu_0\mu_r\) and \(\epsilon=\epsilon_0K\), we get \(v=\frac{c}{\sqrt{K\mu_r}}\).

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