When light propagates through a material medium of relative permittivity ϵ r and relative permeability μ r prime the velocity of light, v is given by: (c - velocity of light in vacuum)

Question

When light propagates through a material medium of relative permittivity ϵ r and relative permeability μ r prime the velocity of light, v is given by: (c - velocity of light in vacuum) (A) v=( c /√ϵ r μ r ) (B) v= c (C) v=√(μ r /ϵ r ) (D) v=√(ϵT/μr)

Tardigrade Admin · Accepted Answer

n=√ϵ r ur n=(c/v) ⇒ v=(c/n) v=((c/√ϵr μr))

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)

$v = \frac{c}{ϵ _{r} μ _{r}}$

$v = c$

$v = \frac{μ _{r}}{ϵ _{r}}$

$v = \frac{ϵ _{T}}{μ _{r}}$

$n = ϵ_{r} u_{r}$
$n = \frac{c}{v} \Rightarrow v = \frac{c}{n}$
$v = (\frac{c}{ϵ _{r} μ _{r}})$

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)

v=ϵr​μr​​c​

v=c

v=ϵr​μr​​​

v=μr​ϵT​​​