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) \[{{B}_{0}}\frac{\hat{j}-\hat{i}}{\sqrt{2}}\cos \left( \omega t+k\frac{\hat{i}+\hat{j}}{\sqrt{2}} \right)\]
Correct Answer: A
Solution :
[a] \[\vec{E}.\vec{B}=0\] |
\[\vec{E}\times \vec{B}\]is along \[\frac{\hat{i}+\hat{j}}{\sqrt{2}}\] |
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