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An EM wave from air enters a medium. The electric fields are ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − πν = t c z x E E 2 cos ˆ 01 1 G in air and )] 2 ( cos[ ˆ 02 2 ct z k x E E − = G in medium, where the wave number k and frequency ν refer to their values in air. The medium is non-magnetic. If 1 r ∈ and 2 r ∈ refer to relative permittivities of air and medium respectively, which of the following options is correct ?
- 2 1 r r ∈ ∈ = 4
- 2 1 r r ∈ ∈ = 2
- 2 1 r r ∈ ∈ = 4 1
- 2 1 r r ∈ ∈ = 2 1 Students may find similar question in CP exercise sheet : [ JEE Main, Chapter : EMW, Theory, Page No.76, Point No. 5.1 ]
Correct answer: 2 1 r r ∈ ∈ = 4 1
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