Electromagnetic Waves

The electric field of an electromagnetic wave in free space is represented as $\overrightarrow{\mathrm{E}}=\mathrm{E}_0 \cos (\omega \mathrm{t}-\mathrm{kz}) \hat{i}$. The corresponding magnetic induction vector will be :

A beam of light travelling along $X$-axis is described by the electric field $E_{y}=900 \sin \omega(\mathrm{t}-x / c)$. The ratio of electric force to magnetic force on a charge $\mathrm{q}$ moving along $Y$-axis with a speed of $3 \times 10^{7} \mathrm{~ms}^{-1}$ will be : (Given speed of light $=3 \times 10^{8} \mathrm{~ms}^{-1}$)

Sun light falls normally on a surface of area $36 \mathrm{~cm}^{2}$ and exerts an average force of $7.2 \times 10^{-9} \mathrm{~N}$ within a time period of 20 minutes. Considering a case of complete absorption, the energy flux of incident light is

Electromagnetic waves are transverse in nature is evident by

An electromagnetic wave of frequency $v=3.0$ $MHz$ passes from vacuum into a dielectric medium with permittivity $\in = 4.0.$ Then

A radiation of energy $E$ falls normally on a perfectly reflecting surface. The momentum transferred to the surface is

The $rms$ value of the electric field of the light coming from the Sun is $720$ $N/C.$ The average total energy density of the electromagnetic wave is

An electromagnetic wave in vacuum has the electric and magnetic field $\mathop E\limits^ \to$and $\mathop B\limits^ \to$, which are always perpendicular to each other. The direction of polarization is given by $\mathop X\limits^ \to$ and that of wave propagation by $\mathop k\limits^ \to$. Then

The magnetic field in a travelling electromagnetic wave has a peak value of $20$ $n$$T$. The peak value of electric field strength is :

During the propagation of electromagnetic waves in a medium :

A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100 W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 5 m from the lamp will be nearly :

An electromagnetic wave of frequency 1 $\times$ 10¹⁴ hertz is propagating along z - axis. The amplitude of electric field is 4 V/m. If $\in$₀ = 8.8 $\times$ 10^$-$12 C²/N-m², then average energy density of electric field will be :

For plane electromagnetic waves propagating in the z direction, which one of the following combination gives the correct possible direction for $\overrightarrow E$ and $\overrightarrow B$ field respectively ?

An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum magnitude of 60 Vm^$-$1. Choose the correct equations for electric and magnetic fields if the EM wave is propagating in vacuum :

An electromagnetic wave travelling in the x-direction has frequency of 23 $\times$ 10¹⁴ Hz and electric field amplitude of 27 Vm^$-$1. From the options given below, which one describes the magnetic field for this wave ?

Consider an electromagnetic wave propagating in vacuum. Choose the correct statement :

The electric field component of a monochromatic radiation is given by $\overrightarrow E$ = 2 E₀ $\widehat i$ cos kz cos $\omega$t Its magnetic field $\overrightarrow B$ is then given by :

Magnetic field in a plane electromagnetic wave is given by $\overrightarrow B$ = B₀ sin (k x + $\omega$t) $\widehat j\,T$ Expression for corresponding electric field will be : Where c is speed of light.

A plane polarized monochromatic EM wave is traveling in vacuum along z direction such that at t = t₁ it is found that the electric field is zero at a spatial point z₁. The next zero that occurs in its neighbourhood is at z₂. The frequency of the electroagnetic wave is :