When light propagates through a material medium of relative permittivity and relative permeability , the velocity of light, is given by (c

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Q.
When light propagates through a material medium of relative permittivity $ε_{r}$ and relative permeability $μ_{r}$ , the velocity of light, $v$ is given by (c - velocity of light in vacuum) [2022]

1 $v = c$

2 $v = \sqrt{\frac{μ_{r}}{ε_{r}}}$

3 $v = \sqrt{\frac{ε_{r}}{μ_{r}}}$

4 $v = \frac{c}{\sqrt{ε_{r} μ_{r}}}$

Ans.
(4)

The velocity of light in vacuum is given by

$c = \frac{1}{\sqrt{μ_{0} ε_{0}}}$ ...(i)

For any medium, velocity is

$v = \frac{1}{\sqrt{μ_{0} μ_{r} ε_{0} ε_{r}}} = \frac{1}{\sqrt{μ_{0} ε_{0}} \sqrt{μ_{r} ε_{r}}}$

Using equation (i),

$v = \frac{c}{\sqrt{μ_{r} ε_{r}}}$

Solution

Q.
When light propagates through a material medium of relative permittivity $ε_{r}$ and relative permeability $μ_{r}$ , the velocity of light, $v$ is given by (c - velocity of light in vacuum) [2022]

1 $v = c$

2 $v = \sqrt{\frac{μ_{r}}{ε_{r}}}$

3 $v = \sqrt{\frac{ε_{r}}{μ_{r}}}$

4 $v = \frac{c}{\sqrt{ε_{r} μ_{r}}}$

Ans.
(4)

The velocity of light in vacuum is given by

$c = \frac{1}{\sqrt{μ_{0} ε_{0}}}$ ...(i)

For any medium, velocity is

$v = \frac{1}{\sqrt{μ_{0} μ_{r} ε_{0} ε_{r}}} = \frac{1}{\sqrt{μ_{0} ε_{0}} \sqrt{μ_{r} ε_{r}}}$

Using equation (i),

$v = \frac{c}{\sqrt{μ_{r} ε_{r}}}$

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Solution

Q. When light propagates through a material medium of relative permittivity εr and relative permeability μr, the velocity of light, v is given by (c - velocity of light in vacuum) [2022]

1 v=c

2 v=μrεr

3 v=εrμr

4 v=cεrμr

Ans. (4) The velocity of light in vacuum is given by c=1μ0ε0 ...(i) For any medium, velocity is v=1μ0μrε0εr=1μ0ε0μrεr Using equation (i), v=cμrεr

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Q.
When light propagates through a material medium of relative permittivity $ε_{r}$ and relative permeability $μ_{r}$ , the velocity of light, $v$ is given by (c - velocity of light in vacuum) [2022]

1 $v = c$

2 $v = \sqrt{\frac{μ_{r}}{ε_{r}}}$

3 $v = \sqrt{\frac{ε_{r}}{μ_{r}}}$

4 $v = \frac{c}{\sqrt{ε_{r} μ_{r}}}$

Ans.
(4)

The velocity of light in vacuum is given by

$c = \frac{1}{\sqrt{μ_{0} ε_{0}}}$ ...(i)

For any medium, velocity is

$v = \frac{1}{\sqrt{μ_{0} μ_{r} ε_{0} ε_{r}}} = \frac{1}{\sqrt{μ_{0} ε_{0}} \sqrt{μ_{r} ε_{r}}}$

Using equation (i),

$v = \frac{c}{\sqrt{μ_{r} ε_{r}}}$