Electromagnetic Waves

An electromagnetic wave is transporting energy in the negative \(z\) direction. At a certain point and certain time the direction of electric field of the wave is along positive \(y\) direction. What will be the direction of the magnetic fi...

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In \(\overrightarrow E\) and \(\overrightarrow K\) represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by :
(\(\omega\) - angular frequency) :

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...

Match List I with List II :

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The ratio of average electric energy density and total average energy density of electromagnetic wave is :

Match List I with List II of Electromagnetic waves with corresponding wavelength range :

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Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions :

In an electromagnetic wave, at an instant and at particular position, the electric field is along the negative \(z\)-axis and magnetic field is along the positive \(x\)-axis. Then the direction of propagation of electromagnetic wave is:

Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason \(\mathbf{R}\)
Assertion A : EM waves used for optical communication have longer wavelengths than that of microwave, employed in...

The electric field in an electromagnetic wave is given as
\(\overrightarrow{\mathrm{E}}=20 \sin \omega\left(\mathrm{t}-\frac{x}{\mathrm{c}}\right) \overrightarrow{\mathrm{j}} \mathrm{NC}^{-1}\)
where \(\omega\) and \(c\) are angular frequen...

A plane electromagnetic wave of frequency \(20 ~\mathrm{MHz}\) propagates in free space along \(\mathrm{x}\)-direction. At a particular space and time, \(\overrightarrow{\mathrm{E}}=6.6 \hat{j} \mathrm{~V} / \mathrm{m}\). What is $$\overrig...

The energy of an electromagnetic wave contained in a small volume oscillates with

The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is \(6.0 \times 10^{-7} \mathrm{~T}\). The maximum value of electric field in the electromagnetic wave is

An expression for oscillating electric field in a plane electromagnetic wave is given as Ez = 300 sin(5\(\pi\) \(\times\) 103x \(-\) 3\(\pi\) \(\times\) 1011t) Vm\(-\)1
Then, the value of magnetic field amplitude will be :
(Given : speed of...

The intensity of the light from a bulb incident on a surface is 0.22 W/m2. The amplitude of the magnetic field in this light-wave is ______________ \(\times\) 10\(-\)9 T.
(Given : Permittivity of vacuum \(\in\)0 = 8.85 \(\times\) 10\(-\)12 ...

The displacement current of 4.425 \(\mu\)A is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 106 Vs\(-\)1. The area of each plate of the capacitor is 40 cm2. The distance between ...

Match List - I with List - II :

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Nearly 10% of the power of a \(110 \mathrm{~W}\) light bulb is converted to visible radiation. The change in average intensities of visible radiation, at a distance of \(1 \mathrm{~m}\) from the bulb to a distance of \(5 \mathrm{~m}\) is $$...

A radar sends an electromagnetic signal of electric field (E0) = 2.25 V/m and magnetic field (B0) = 1.5 \(\times\) 10\(-\)8 T which strikes a target on line of sight at a distance of 3 km in a medium. After that, a part of signal (echo) ref...

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 va...

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 incide...

Match List-I with List-II :

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Given below are two statements :
Statement I : A time varying electric field is a source of changing magnetic field and vice-versa. Thus a disturbance in electric or magnetic field creates EM waves.
Statement II : In a material medium, the ...

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...

Identify the correct statements from the following descriptions of various properties of electromagnetic waves.
(A) In a plane electromagnetic wave electric field and magnetic field must be perpendicular to each other and direction of propa...

In free space, an electromagnetic wave of 3 GHz frequency strikes over the edge of an object of size \({\lambda \over {100}}\), where \(\lambda\) is the wavelength of the wave in free space. The phenomenon, which happens there will be :

If Electric field intensity of a uniform plane electromagnetic wave is given as \(E = - 301.6\sin (kz - \omega t){\widehat a_x} + 452.4\sin (kz - \omega t){\widehat a_y}{V \over m}\). Then magnetic intensity 'H' of this wave in Am\(-\)1 wi...

Which is the correct ascending order of wavelengths?

The magnetic field of a plane electromagnetic wave is given by :
\(\overrightarrow{\mathrm{B}}=2 \times 10^{-8} \sin \left(0.5 \times 10^{3} x+1.5 \times 10^{11} \mathrm{t}\right) \,\hat{j} \mathrm{~T}\).
The amplitude of the electric fiel...

A velocity selector consists of electric field \(\vec{E}=E \,\hat{k}\) and magnetic field \(\vec{B}=B \,\hat{j}\) with \(B=12 \,m T\). The value of \(E\) required for an electron of energy \(728 \,\mathrm{e} V\) moving along the positive $$...

The oscillating magnetic field in a plane electromagnetic wave is given by \(B_{y}=5 \times 10^{-6} \sin 1000 \pi\left(5 x-4 \times 10^{8} t\right) T\). The amplitude of electric field will be :

The electric field in an electromagnetic wave is given by E = 56.5 sin \(\omega\)(t \(-\) x/c) NC\(-\)1. Find the intensity of the wave if it is propagating along x-axis in the free space.
(Given : \(\varepsilon\)0 = 8.85 \(\times\) 10$$-$...

The electromagnetic waves travel in a medium at a speed of 2.0 \(\times\) 108 m/s. The relative permeability of the medium is 1.0. The relative permittivity of the medium will be :

The rms value of conduction current in a parallel plate capacitor is \(6.9 \,\mu \mathrm{A}\). The capacity of this capacitor, if it is connected to \(230 \mathrm{~V}\) ac supply with an angular frequency of $$600 \,\mathrm{rad} / \mathrm{s...

Light wave travelling in air along x-direction is given by \({E_y} = 540\sin \pi \times {10^4}(x - ct)\,V{m^{ - 1}}\). Then, the peak value of magnetic field of wave will be (Given c = 3 \(\times\) 108 ms\(-\)1)

A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnitude of magnetic intensity is 4.5 \(\times\) 10\(-\)2 Am\(-\)1 at a point, what will be the approximate magnitude of elec...

An electric bulb is rated as 200 W. What will be the peak magnetic field at 4 m distance produced by the radiations coming from this bulb? Consider this bulb as a point source with 3.5% efficiency.

The electric field in an electromagnetic wave is given by E = (50 NC\(-\)1) sin\(\omega\) (t \(-\) x/c)The energy contained in a cylinder of volume V is 5.5 \(\times\) 10\(-\)12 J. The value of V is _____________ cm3. (given \(\in\)0 = 8.8 ...

The magnetic field vector of an electromagnetic wave is given by \(B = {B_0}{{\widehat i + \widehat j} \over {\sqrt 2 }}\cos (kz - \omega t)\); where \(\widehat i,\widehat j\) represents unit vector along x and y-axis respectively. At t = 0...

The relative permittivity of distilled water is 81. The velocity of light in it will be :(Given \(\mu\)r = 1)

Electric field in a plane electromagnetic wave is given by E = 50 sin(500x \(-\) 10 \(\times\) 1010 t) V/m The velocity of electromagnetic wave in this medium is :(Given C = speed of light in vacuum)

A plane electromagnetic wave with frequency of 30 MHz travels in free space. At particular point in space and time, electric field is 6 V/m. The magnetic field at this point will be x \(\times\) 10\(-\)8 T. The value of x is ___________.

A radiation is emitted by 1000W bulb and it generates an electric field and magnetic field at P, placed at a distance of 2m. The efficiency of the bulb is 1.25%. The value of peak electric field at P is x \(\times\) 10\(-\)1 V/m. Value of x...

The electric field in a plane electromagnetic wave is given by $$\overrightarrow E = 200\cos \left[ {\left( {{{0.5 \times {{10}^3}} \over m}} \right)x - \left( {1.5 \times {{10}^{11}}{{rad} \over s} \times t} \right)} \right]{V \over m}\wi...

A light beam is described by \(E = 800\sin \omega \left( {t - {x \over c}} \right)\). An electron is allowed to move normal to the propagation of light beam with a speed of 3 \(\times\) 107 ms\(-\)1. What is the maximum magnetic force exert...

A linearly polarized electromagnetic wave in vacuum is \(E = 3.1\cos \left[ {(1.8)z - (5.4 \times {{10}^6})t} \right]\widehat iN/C\)is incident normally on a perfectly reflecting wall at z = a. Choose the correct option

The wavelength of an X-ray beam is 10\(\mathop A\limits^o\). The mass of a fictitious particle having the same energy as that of the X-ray photons is \({x \over 3}h\) kg. The value of x is __________. (h = Planck's constant)

The peak electric field produced by the radiation coming from the 8W bulb at a distance of 10 m is \({x \over {10}}\sqrt {{{{\mu _0}c} \over \pi }} {V \over m}\). The efficiency of the bulb is 10% and it is a point source. The value of x is...

An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2. Its velocity in this medium is ____________ \(\times\) 107 m/s.