For the medium with relative permittivity ϵr = 4 and relative permeability μr = 6.25, the velocity of light is given as (c is velocity of light in vacuum)

Question

For the medium with relative permittivity ϵr = 4 and relative permeability μr = 6.25, the velocity of light is given as (c is velocity of light in vacuum) (A)  (c/2) (B)  (c/5) (C)  (c/25) (D)  (c/4)

Tardigrade Admin · Accepted Answer

v = (1/√μoεo μrεr)= (c/√εrμr) = (c/√4×6.25)= (c/√25)=(c/5)

Q. For the medium with relative permittivity $ϵ_{r}$ = 4 and relative permeability $μ_{r}$ = 6.25, the velocity of light is given as (c is velocity of light in vacuum)

$\frac{c}{2}$

$\frac{c}{5}$

$\frac{c}{25}$

$\frac{c}{4}$

$v = \frac{1}{μ _{o} ε _{o} μ _{r} ε _{r}} = \frac{c}{ε _{r} μ _{r}}$
$= \frac{c}{4 \times 6.25} = \frac{c}{25} = \frac{c}{5}$

Q. For the medium with relative permittivity ϵr​ = 4 and relative permeability μr​ = 6.25, the velocity of light is given as (c is velocity of light in vacuum)

2c​

5c​

25c​

4c​