An EM wave from air enters a medium. The electric fields are E₁ = E₀₁ x cos [ 2π v(z/c - t) ] in air and E₂ = E₀₂ x cos [ k(2z - ct) ] in medium, where the wave number k and frequency ν refer to their values in air. The medium is non-magnetic. If ε r₁ and ε r₂ refer to relative permittivities of air and medium respectively, which of the following options is correct ?

Electromagnetic Waves: JEE Main 2018 Physics question

JEE Main 2018 · Session, Shift 1 · Q6743

JEE Main 2018Session, Shift 1PhysicsHardElectromagnetic Waves120× since 2002

An EM wave from air enters a medium. The electric fields are

\overrightarrow {{E_1}}

{E_{01}}\widehat x\cos \left[ {2\pi v\left( {{z \over c} - t} \right)} \right]

in air and

\overrightarrow {{E_2}}

{E_{02}}\widehat x\cos \left[ {k\left( {2z - ct} \right)} \right]

in medium, where the wave number k and frequency

\nu

refer to their values in air. The medium is non-magnetic. If

{\varepsilon _{{r_1}}}

and

{\varepsilon _{{r_2}}}

refer to relative permittivities of air and medium respectively, which of the following options is correct ?

JEE Main 2018 Electromagnetic Waves Question with Solution (Session Shift 1, Q6743) | JEE Arc