An electromagnetic wave of frequency 5 GHz , is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2 . Its velocity in this medium is _______ × 10 7 m s - 1 .

Step-by-step solution

Given : Frequency of wave f = 5 GHz = 5 × 10 9   Hz Relative permittivity, ϵ r = 2 and Relative permeability, μ r = 2 Since speed of light in a medium is given by, v = 1 μ ∈ = 1 μ r μ 0 · ϵ r ∈ 0 v = 1 μ r ϵ f 1 μ 0 ϵ 0 = C μ r ϵ r Where C is speed of light is vacuum ∴   v = 3 × 10 8 4 = 30 × 10 7 2   m   s - 1 = 15 × 10 7   m   s - 1 ∴ Ans. is 15