question_answer

A plane electromagnetic wave is propagating along the direction \[\frac{\hat{i}+\hat{j}}{\sqrt{2}}\], with its polarization along the direction \[\hat{k}\]. The correct form of the magnetic field of the wave would be (here \[{{B}_{0}}\]is an appropriate constant) [JEE MAIN Held on 09-01-2020 Evening]

A) \[{{B}_{0}}\frac{\hat{i}-\hat{j}}{\sqrt{2}}\cos \left( \omega t-k\frac{\hat{i}+\hat{j}}{\sqrt{2}} \right)\]

B) \[{{B}_{0}}\hat{k}\cos \left( \omega t-k\frac{\hat{i}+\hat{j}}{\sqrt{2}} \right)\]

C) \[{{B}_{0}}\frac{\hat{i}+\hat{j}}{\sqrt{2}}\cos \left( \omega t-k\frac{\hat{i}+\hat{j}}{\sqrt{2}} \right)\]

D) \[{{B}_{0}}\frac{\hat{j}-\hat{i}}{\sqrt{2}}\cos \left( \omega t+k\frac{\hat{i}+\hat{j}}{\sqrt{2}} \right)\]