Match List-I with List-II. (A) E along + j , B along + k (I) +x...

The direction of propagation of an electromagnetic wave is given by the direction of the vector $\vec{E} \times \vec{B}$.

(A) $\vec{E}$ along $+\hat{j}$, $\vec{B}$ along $+\hat{k}$: Direction is $\hat{j} \times \hat{k} = \hat{i}$ ($+x$-direction). Matches with (I).

(B) $\vec{E}$ along $-\hat{j}$, $\vec{B}$ along $+\hat{k}$: Direction is $(-\hat{j}) \times \hat{k} = -\hat{i}$ ($-x$-direction). Matches with (II).

(C) $\vec{E}$ along $+\hat{k}$, $\vec{B}$ along $-\hat{i}$: Direction is $\hat{k} \times (-\hat{i}) = -\hat{j}$ ($-y$-direction). Matches with (IV).

(D) $\vec{E}$ along $+\hat{i}$, $\vec{B}$ along $-\hat{k}$: Direction is $\hat{i} \times (-\hat{k}) = \hat{j}$ ($+y$-direction). Matches with (III).

Therefore, the correct matching is (A)-(I), (B)-(II), (C)-(IV), (D)-(III).

Answer: (A)-(I), (B)-(II), (C)-(IV), (D)-(III)