An $EM$ wave from air enters a medium. The electric fields are $\vec{E_1} = E_{01} \hat{x} \cos \left[ 2 \pi v\left( \frac{z}{c} - t \right) \right]$ in air and $\vec{E}_2 = E_{02} \hat{x} \cos [k (2 z - ct)]$ in medium, where the wave number $k$ and frequency $?$ refer to their values in air. The medium is non-magnetic . If $\in_{r_1} $ and $\in_{r_2} $ refer to relative permittivities of air and medium respectively, which of the following options is correct ?