Question

For a transparent medium relative permiability and permittivity are 1.0 and 1.44 respectively the velocity of light in this medium would be

Answer 1

Answer:

1.44. is the answer.

Answer 2

The velocity of light in this medium is $2.5\times 10^8\ m/s$ .

Given :

Relative permeability and permittivity are 1.0 and 1.44 respectively .

We are required to find the velocity of light in this medium .

We know , velocity v is given as :

$v=\dfrac{1}{\sqrt{ \mu\epsilon}}\\\\v=\dfrac{1}{\sqrt{ \mu_r\mu_o\epsilon_r\epsilon_o}}$

Here , $\mu_r$ and $\epsilon_r$ are relative permeability and permittivity respectively .

$v=\dfrac{1}{\sqrt{ \mu_o\epsilon_o}}\times \dfrac{1}{\sqrt{\mu_r \epsilon_r}}\\\\v=3\times 10^8 \times \dfrac{1}{\sqrt{1 \times 1.44}}\\\\v=2.5\times 10^8\ m/s$

Hence , this is the required solution .

Learn More :

Permeability and Permittivity .

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