An electromagnetic waves is traveling in vacuum with a speed of `3 xx 10^(8)` m/s. find its velocity in a medium having relative electric and magnetic permeability 2 and 1 respectively.

Explanation

Given: Velocity of electromagnetic waves is
c = `3 xx 10^(8)` m/s
Relative electric permittivity `epsilon_(r ) = 2 `
Releative magnetic permeability `mu_(r )` = 1
To find:
Velocity of Electromagentic in amedium is
v = `(1)/(sqrt(epsilon_(0) .mu_(0)mu_(r ) )) = (1)/(sqrt(epsilon_(0)mu_(0) xx sqrt(epsilon_(r ) epsilon_(r)))`
Solution:
`therefore =v (1)/(sqrt( epsilon_(0)mu_(0))) , v = (1)/( sqrt(epsilon_(r ) mu_(R ))) xx c `
`therefore v = (3 xx 10^(8))/(sqrt(2 xx 1)) = (3)/(sqrt(2)) xx 10^(8) ` m/s .