An electromagnetic wave in vacuum has the electric and magnetic field $\to E$ and $\to B$ which are always perpendicular to each other. If the direction of polarization is given by $\to X$ and that of wave propagation by $\to k$ then:

\to X ∥ \to B

and

\to k ∥ \to B \times \to E

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\to X ∥ \to E

and

\to k ∥ \to E \times \to B

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\to X ∥ \to B

and

\to k ∥ \to E \times \to B

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\to X ∥ \to E

and

\to k ∥ \to B \times \to E

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Solution

The correct option is A $\to X ∥ \to E$ and $\to k ∥ \to E \times \to B$
In an electromagnetic wave, electrical and magnetic fields are perpendicular to each other. The wave propagates in a direction perpendicular to both electric and magnetic fields as given by $\to E \times \to B$ .
So, the direction of propagation of the wave will be perpendicular to the to the direction of oscillation of the fields.
$\to k ∥ \to B \times \to E$
And the direction of polarization must be perpendicular to the electric field and parallel to the magnetic field.
$\to X | | \to E$ .
The correct option is $(B)$ .

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