An electromagnetic wave of frequency 3 GHz enters a dielectric medium of relative electric permittivity 2 . 25 from vacuum. The wavelength of this wave in that medium will be _________ × 10 - 2 cm .

Step-by-step solution

λ in vacuum = c f = 3 × 10 8 3 × 10 9 = 0 . 1   m ∴     λ in medium = 0 . 1 μ Where refractive index μ = μ r ε r Assuming non-magnetic material μ r = 1 ∴     μ = 2 . 25 = 1 . 5 λ m = 0 . 1 1 . 5 = 1 15   m = 6 . 67   cm = 667 × 10 - 2   cm