An EM wave enters from medium-(1) to medium-(2). The electric fields are ${\overrightarrow{\mathrm{E}}}_1={\mathrm{E}}_{01}\sin \left(\mathrm{kx}-\mathrm{\omega t}\right)\hat{\mathrm{j}}$ in medium-(1) & ${\overrightarrow{\mathrm{E}}}_2={\mathrm{E}}_{02}\sin \left(3\mathrm{kx}-\mathrm{\omega t}\right)\hat{\mathrm{j}}$ in medium $-\left(2\right).$ If $\frac{{\mathrm{\mu }}_{{\mathrm{r}}_1}}{{\mathrm{\mu }}_{{\mathrm{r}}_2}}=\frac{1}{4}$ and $\frac{{\mathrm{ϵ}}_{{\mathrm{r}}_2}}{{\mathrm{ϵ}}_{{\mathrm{r}}_1}}=\frac{n}{4}$, then find the value of $n$. (${\mu }_{\mathrm{r}} \& {ϵ}_{\mathrm{r}}$ are relative permeability & permittivity of medium)