The ratio of the speeds of electromagnetic wa | vedclass

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Question

(D) The speed of electromagnetic waves in a vacuum is $C = \frac{1}{\sqrt{\mu_{0}\varepsilon_{0}}}$.The speed of electromagnetic waves in a medium is

Vedclass · Accepted Answer

$\sqrt{6} : 1$

Vedclass · Answer

(D) The speed of electromagnetic waves in a vacuum is $C = \frac{1}{\sqrt{\mu_{0}\varepsilon_{0}}}$.The speed of electromagnetic waves in a medium is $V = \frac{1}{\sqrt{\mu\varepsilon}}$.The ratio of speeds is $\frac{C}{V} = \sqrt{\frac{\mu\varepsilon}{\mu_{0}\varepsilon_{0}}} = \sqrt{\mu_{r}\varepsilon_{r}}$.Given, dielectric constant $K = \varepsilon_{r} = 3$ and relative permeability $\mu_{r} = \frac{\mu}{\mu_{0}} = 2$.Substituting these values, we get $\frac{C}{V} = \sqrt{3 	imes 2} = \sqrt{6}$.Therefore, the ratio is $\sqrt{6} : 1$.

The ratio of the speeds of electromagnetic waves in a vacuum and in a medium with dielectric constant $K=3$ and permeability $\mu=2\mu_{0}$ is (where $\mu_{0}$ is the permeability of vacuum).

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