a
If we use that direction of light propagation will be along \(\overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}}\). Then \((\mathrm{A})\) option is correct.

Magnitude of \(E=C B\)

\(E=3 \times 10^{8} \times 1.6 \times 10^{-6} \times \sqrt{5}\)

\(E=4.8 \times 10^{2} \times \sqrt{5}\)

\(\overrightarrow{\mathrm{E}}\) and \(\overrightarrow{\mathrm{B}}\) are perpendicular to each other \(\Rightarrow \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{B}}=0\)

\(\Rightarrow\) Either direction of \(\bar{E}\) is \(\hat{i}-2 \hat{j}\) or \(-\hat{i}+2 \hat{j}\) from given option

Also wave propagation direction is parallel to \(\overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}}\) which is \(-\overrightarrow{\mathrm{k}}\)

\(\Rightarrow \overrightarrow{\mathrm{E}}\) is along \((-\hat{\mathrm{i}}+2 \hat{\mathrm{j}})\)