Medium MCQ +4 / -1 PYQ · JEE Mains 2020

A plane electromagnetic wave is propagating along the direction ${{\widehat i + \widehat j} \over {\sqrt 2 }}$ , with its polarization along the direction $\widehat k$ . The correct form of the magnetic field of the wave would be (here B0 is an appropriate constant) :

  1. A $${B_0}{{\widehat i - \widehat j} \over {\sqrt 2 }}\cos \left( {\omega t - k{{\widehat i + \widehat j} \over {\sqrt 2 }}} \right)$$ Correct answer
  2. B $${B_0}{{\widehat i + \widehat j} \over {\sqrt 2 }}\cos \left( {\omega t - k{{\widehat i + \widehat j} \over {\sqrt 2 }}} \right)$$
  3. C $${B_0}{{\widehat j - \widehat i} \over {\sqrt 2 }}\cos \left( {\omega t + k{{\widehat i + \widehat j} \over {\sqrt 2 }}} \right)$$
  4. D $${B_0}\widehat k\cos \left( {\omega t - k{{\widehat i + \widehat j} \over {\sqrt 2 }}} \right)$$

Solution

Direction of propagation = ${{\widehat i + \widehat j} \over {\sqrt 2 }}$ <br><br>Electric field is in direction = $\widehat k$ <br><br>As $\overrightarrow E \times \overrightarrow B$ = ${{\widehat i + \widehat j} \over {\sqrt 2 }}$ <br><br>Propagation direction of $\overrightarrow B = {{\widehat i - \widehat j} \over {\sqrt 2 }}$

About this question

Subject: Physics · Chapter: Electromagnetic Waves · Topic: Properties of EM Waves

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