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For a plane electromagnetic wave propagating in xx-direction, which one of the following combination gives the correct possible directions for electric field (EE) and magnetic field (BB) respectively?

A

j^+k^,j^+k^\hat{j} + \hat{k}, \hat{j} + \hat{k}

B

j^+k^,j^k^-\hat{j} + \hat{k}, -\hat{j} - \hat{k}

C

j^+k^,j^k^\hat{j} + \hat{k}, -\hat{j} - \hat{k}

D

j^+k^,j^+k^-\hat{j} + \hat{k}, -\hat{j} + \hat{k}

Step-by-Step Solution

Direction of propagation of electromagnetic waves is along E×B\vec{E} \times \vec{B}. Given that direction of propagation is along xx-axis. Checking option (2): (j^+k^)×(j^k^)=2i^(-\hat{j} + \hat{k}) \times (-\hat{j} - \hat{k}) = 2\hat{i}. This matches the propagation direction.

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