$A$ 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)

  • A
    $B_{0} \frac{\hat{i}-\hat{j}}{\sqrt{2}} \cos \left(\omega t - k \frac{\hat{i}+\hat{j}}{\sqrt{2}} \cdot \vec{r}\right)$
  • B
    $B_{0} \frac{\hat{i}+\hat{j}}{\sqrt{2}} \cos \left(\omega t - k \frac{\hat{i}+\hat{j}}{\sqrt{2}} \cdot \vec{r}\right)$
  • C
    $B_{0} \hat{k} \cos \left(\omega t - k \frac{\hat{i}+\hat{j}}{\sqrt{2}} \cdot \vec{r}\right)$
  • D
    $B_{0} \frac{\hat{j}-\hat{i}}{\sqrt{2}} \cos \left(\omega t + k \frac{\hat{i}+\hat{j}}{\sqrt{2}} \cdot \vec{r}\right)$

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