Easy MCQ +4 / -1 PYQ · JEE Mains 2023

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by

$\mathrm{{E_x} = {E_o}\sin (kz - \omega t)}$

$\mathrm{{B_y} = {B_o}\sin (kz - \omega t)}$

Then the correct relation between E$_0$ and B$_0$ is given by

  1. A $\mathrm{{E_o}{B_o} = \omega k}$
  2. B $\mathrm{{E_0} = k{B_0}}$
  3. C $\mathrm{k{E_0} = \omega {B_0}}$ Correct answer
  4. D $\mathrm{\omega {E_0} = k{B_0}}$

Solution

$E_{x}=E_{0} \sin (k z-\omega t)$ <br/><br/> $B_{y}=B_{0} \sin (k z-\omega t)$ <br/><br/> $\because$ Velocity $=\frac{E_{0}}{B_{0}}$ <br/><br/> $\frac{\omega}{k}=\frac{E_{0}}{B_{0}}$ <br/><br/> $\omega B_{0}=k E_{0}$

About this question

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

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