A linearly polarised electromagnetic wave given as \( \mathbf{E}=\mathrm{E}_{0} \hat{i} \cos (k ...

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A linearly polarised electromagnetic wave given as \( \mathbf{E}=\mathrm{E}_{0} \hat{i} \cos (k z-\omega t) \) is incident normally on a perfectly reflecting infinite wall at \( z=a \). Assuming that the material of the wall is optically inactive, the reflected wave will be given as:
(A) \( \mathrm{E}_{r}=\mathrm{E}_{0} \hat{i}(k z-\omega t) \)
(B) \( \mathrm{E}_{r}=\mathrm{E}_{0} \hat{i} \cos (k z+\omega t) \)
(C) \( \mathrm{E}_{r}=-\mathrm{E}_{0} \hat{i} \cos (k z+\omega t) \)
(D) \( \mathrm{E}_{r}=\mathrm{E}_{0} \hat{i} \sin (k z-\omega t) \)
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