Electromagnetic waves travel in a medium with a speed of 2 10^8 ~ms ⁻¹ . The relative permeability of the medium is 1 . The value of relative permittivity of medium is

Step-by-step solution

Given, v=2 10^8 ~ms ⁻¹ and _r=1 The speed of EM waves in a medium is given by v= 1 ...(i) where, and are absolute permeability and absolute perimittivity of the medium. Now, = ₀ _r and = ₀ _r Eq. (i) becomes aligned & v= 1 ₀ _r ₀ _r = 1 ₀ ₀ 1 _r _r & v= c _r _r & _r= c^2 v^2 _r = (3 10^8 )^2 (2 10^8 )^2 1 =2.25 aligned