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JEE Main 2012Offline

Exam: JEE Main
Year: 2012
Mode: Offline
Subject: Physics
Chapter: Electromagnetic Waves

JEE Main 2012 · Offline · Physics · Electromagnetic Waves

An electromagnetic wave in vacuum has the electric and magnetic...

An electromagnetic wave in vacuum has the electric and magnetic fields

\vec{E}

and

\vec{B}

, which are always perpendicular to each other. The direction of polarization is given by

\vec{X}

and that of wave propagation by

\overrightarrow{\mathrm{k}}

. Then :

Options

A $\vec{X} \| \vec{B}$ and $\vec{k} \| \vec{B} \times \vec{E}$
B $\vec{X} \| \vec{E}$ and $\vec{k} \| \vec{E} \times \vec{B}$
C $\vec{X} \| \vec{B}$ and $\vec{k} \| \vec{E} \times \vec{B}$
D $\vec{X} \| \vec{E}$ and $\vec{k} \| \vec{B} \times \vec{E}$

Correct answer

C. $\vec{X} \| \vec{B}$ and $\vec{k} \| \vec{E} \times \vec{B}$

Step-by-step solution

Direction of polarization is parallel to magnetic field,

\therefore \quad \overrightarrow{\mathrm{X}} \| \overrightarrow{\mathrm{B}}

and direction of wave propagation is parallel to

\overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}}

\therefore \quad \overrightarrow{\mathrm{K}} \| \overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}}

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