Electromagnetic waves practice · Mixed difficulty

The velocity of electromagnetic wave in good conductor is

An electromagnetic wave of frequency $1\mathrm{ } \times \mathrm{ }{10^{14}}Hz$ is propagating along z-axis. The amplitude of the electric field is 4 V/m. If ${\varepsilon _{0\;}} = \mathrm{ }8.8\mathrm{ } \times \mathrm{ }10{\;^{ - 12}}{C^2}\;/\mathrm{ }N - {m^2}$, then the average energy density of electric field will be :

An electromagnetic wave going through vacuum is described by $E = {E_0}\sin (kx - \omega t)\,\,;\,B = {B_0}\sin (kx - \omega t).$ Which of the following equations is true.

A plane electromagnetic wave propagating along z-direction can be generated by

A laser beam is used for locating distant objects because

For a plane electromagnetic wave propagating in y-direction, which one of the following combination gives the correct possible directions for electric field (E) and magnetic field (B) respectively:

The ratio of energy density of electromagnetic wave and energy density due to magnetic field is

A plane electromagnetic wave of frequency $35 {MHz}$ travels in free space along the $X$-direction. At a particular point (in space and time) $\vec{E}=9.6 \hat{j} {~V} / {m}$. The value of magnetic field at this point is :

Assertion: Phase change of $\pi$ occurs when light beam strikes a interface separating two surface.

Reason: All EM wave suffer phase change of it when it strikes a interface.

The energy of electromagnetic wave in vacuum is given by the relation

A plane electromagnetic wave propagating along z-direction can be generated by

Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by $E = 20\cos \,(2 \times {10^{10}}t - 200x)\,\,\,V/m.$ The dielectric constant of the medium is equal to
(Take, ${\mu _r} = 1)$

An Electromagnetic Wave has

Part of electromagnetic spectrum that corresponds to wavelength of $10^{-10}$ m is

Electromagnetic Waves can be deflected by

The amplitudes of electric and magnetic fields in an electromagnetic wave are related to each other as

If $\mathrm{E}$ and $\mathrm{B}$ denote electric and magnetic fields respectively, which of the following is dimensionless?

An expression for the magnetic field strength $B$ at the point between the capacitor plates indicates in figure express $B$ in terms of the rate of change of the electric field strength $ie,\;dE/dt$ between the plates

In a plane EM wave, the electric field oscillates sinusoidally at a frequency of $5 \times 10^{10} \mathrm{~Hz}$ and an amplitude of $50 \mathrm{Vm}^{-1}$. The total average energy density of the electromagnetic field of the wave is : [Use $\varepsilon_0=8.85 \times 10^{-12} \mathrm{C}^2 / \mathrm{Nm}^2$ ]

The wave impedance of free space is

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : EM waves used for optical communication have longer wavelengths than that of microwave, employed in Radar technology.
Reason R : Infrared EM waves are more energetic than microwaves, (used in Radar)
In the light of given statements, choose the correct answer from the options given below.

Out of the following electromagnetic radiation, which has the shortest wavelength?

The intensity of electromagnetic wave is equal to (symbols have their usual meanings)

In an electromagnetic wave the amplitude of magnetic field is $3 \times 10^{-8} \mathrm{~T}$. If the frequency of wave is $10^{12} \mathrm{~Hz}$, then find the amplitude of associated electric field in S.I. unit.

Given below are two statements:
Statement I: Electromagnetic waves carry energy
as they travel through space and this energy is
equally shared by the electric and magnetic fields
Statement II: When electromagnetic waves strike
a surface, a pressure is exerted on the surface
In the light of the above statements, choose the
most appropriate answer from the options given
below

Intensity of sunlight is observed as $0.092\,W{m^{ - 2}}$ at a point in free space. What will be the peak value of magnetic field at that point? $({\varepsilon _0} = 8.85 \times {10^{ - 12}}{C^{ - 2}}{N^1}{m^{ - 2}})$

If ${\varepsilon _0}$ and ${\mu _0}$ represent the permittivity and permeability of vacuum and $\varepsilon$ and $\mu$ represent the permittivity and permeability of medium, then refractive index of the medium is given by

In free space, the energy of electromagnetic wave in electric field is ${U_E}$ and in magnetic field is ${U_B}$. Then

The maximum electric field of a plane electromagnetic wave is 88 V/m. The average energy density is $\left[ {J/{m^3}} \right]$

An electromagnetic wave has electric field given by $\vec{E}=(9.6 \hat{j}) \sin \left[2 \pi\left\{30 \times 10^6 t-\frac{1}{10} x\right\}\right], x$ and $t$ are in SI units. The maximum magnetic field is