Embibe Experts Solutions for Chapter: Electromagnetic Waves, Exercise 1: Exercise-1

The dimensional formula for the physical quantity $\frac{E^2{\mu }_0{\epsilon }_0}{B^2}$ is ($E=$ electric field $B=$ magnetic field)

Radiowaves of constant amplitude can be generated with

A electromagnetic wave in vacuum has the electric and magnetic fields $\overrightarrow{E}$ and $\overrightarrow{B}$ which are always perpendicular to each other. The direction of polarization is given by $\overrightarrow{X}$ and wave propogation by $\overrightarrow{K}$ then

During the propagation of electromagnetic waves in a medium

The electric field component of a monochromatic radiation is given by $\overrightarrow{E}=2E_0\widehat{\mathrm{i}}\cos kz\cos \omega t$. Its magnetic field $\overrightarrow{B}$ is then given by

An $\mathrm{EM}$ wave from air enters a medium. The electric fields  are in ${\overrightarrow{E}}_1=E_{01}\widehat{\mathrm{x}}\cos \left[2\pi v\left(\frac{z}{c}-t\right)\right]$ air and ${\overrightarrow{E}}_2=E_{02.}\widehat{\mathrm{x}}\cos \left[k\left(2z-ct\right)\right]$ in medium, when the wave number $k$ and frequency $v$ refer to their values in air. The medium is non-magnetic. If ${\in }_{r_1}$ are ${\in }_{r_2}$ refer to relative permittivity of air and medium respectively, which of the following options is correct?

A plane polarized monochromatic $\mathrm{EM}$ wave is travelling in vacuum along $z$ direction such that at $t=t_1$ it is found that the electric field is zero at a spatial point $z_1$. The next zero that occurs in its neighbourhood is at $z_2$. The frequency of the electromagnetic wave is

A monochromatic beam of light has a frequency $v=\frac{3}{2\pi }\times {10}^{12} \mathrm{Hz}$ and is propagating along the direction $\frac{\widehat{\mathrm{i}}+\widehat{\mathrm{j}}}{\sqrt{2}}$. It is polarized along the $\hat{\mathrm{k}}$ direction. The acceptable form for the magnetic field is