An electromagnetic wave travels through a medium having relative permittivity _r and relative permeability μ_r . If a new medium is chosen such that its relative permittivity is 2 _r and relative permeability is

Question

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Correct answer: A. remain the same

The speed of an electromagnetic wave in a medium is given by

v = \dfrac{1}{\sqrt{\mu \epsilon}} = \dfrac{c}{\sqrt{\mu_r \epsilon_r}}

.

For the original medium,

v_1 = \dfrac{c}{\sqrt{\mu_r \epsilon_r}}

.

For the new medium, the relative permittivity is

2\epsilon_r

and the relative permeability is

\dfrac{\mu_r}{2}

.

The speed in the new medium is

v_2 = \dfrac{c}{\sqrt{\left(\dfrac{\mu_r}{2}\right) (2\epsilon_r)}} = \dfrac{c}{\sqrt{\mu_r \epsilon_r}}

.

Thus,

v_2 = v_1

.

The speed of the electromagnetic wave remains the same.

Answer: remain the same

An electromagnetic wave travels through a medium having relative...

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