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Q.

If c is the speed of electromagnetic waves in vacuum, its speed v in a medium of dielectric constant K and relative permeability $μ_{r}$ is (c is the speed of light)

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a

$v = \frac{K}{\sqrt{μ_{r} c}}$

b

$v = c \sqrt{μ_{r} K}$

c

$v = \frac{1}{\sqrt{μ_{r} K}}$

d

$v = \frac{c}{\sqrt{μ_{r} K}}$

answer is C.

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Detailed Solution

detailed_solution_thumbnail

Speed of light in vacuum, $c = \frac{1}{\sqrt{μ_{0} ε_{0}}}$ and in another medium $v = \frac{1}{\sqrt{με}}$

$\frac{c}{v} = \sqrt{\frac{με}{μ_{0} ε_{0}}} = \sqrt{μ_{r} K} \Rightarrow v = \frac{c}{\sqrt{μ_{r} K}}$

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