JEE Main2018PhysicsElectromagnetic WavesActual
An EM wave from air enters a medium. The electric fields are E → 1 = E 01 x ^ cos ⁡ 2 π v z c - t in air and E → 2 = E 02 x ^ cos ⁡ k 2 z - c t in medium, where the wave number k and frequency v refer to their values in the air. The medium is non-magnetic. If ϵ r 1 and ϵ r 2 refer to relative permittivities of air and medium respectively, which of the following options, is cor
Options
- Aϵ r 1 ϵ r 2 = 1 2
- Bϵ r 1 ϵ r 2 = 4
- Cϵ r 1 ϵ r 2 = 2
- Dϵ r 1 ϵ r 2 = 1 4
Correct answer
D. ϵ r 1 ϵ r 2 = 1 4
Step-by-step solution
∨ a i r ∨ m e d = c c / 2 = 2 = μ 0 ϵ 0 μ r 2 ϵ r 2 μ 0 ϵ 0 μ r 1 ϵ r 1 ϵ r 1 ϵ r 2 = 1 4