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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

  1. Aϵ r 1 ϵ r 2 = 1 2
  2. Bϵ r 1 ϵ r 2 = 4
  3. Cϵ r 1 ϵ r 2 = 2
  4. 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

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