JEE Main
Physics
Electromagnetic Waves
Previous Years Questions

Match List I (Wavelength range of electromagnetic spectrum) with List II. (Method of production of these waves) and select the correct option from th...
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...
Match the List - I (Phenomenon associated with electromagnetic radiation) with List - II (Part of electromagnetic spectrum) and select the correct cod...
A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves a...
If microwaves, X rays, infracted, gamma rays, ultra-violet, radio waves and visible parts of the electromagnetic spectrum by M, X, I, G, U, R and V, ...
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 o...
For plane electromagnetic waves propagating in the z direction, which one of the following combination gives the correct possible direction for $$\... Match List I with List II of Electromagnetic waves with corresponding wavelength range : .tg {border-collapse:collapse;border-spacing:0;width:100%} ... In an electromagnetic wave, at an instant and at particular position, the electric field is along the negative$$z$$-axis and magnetic field is along ... Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions : Given below are two statements: one is labelled as Assertion$$\mathbf{A}$$and the other is labelled as Reason$$\mathbf{R}$$Assertion A : EM waves ... A plane electromagnetic wave of frequency$$20 ~\mathrm{MHz}$$propagates in free space along$$\mathrm{x}$$-direction. At a particular space and time... The electric field in an electromagnetic wave is given as$$\overrightarrow{\mathrm{E}}=20 \sin \omega\left(\mathrm{t}-\frac{x}{\mathrm{c}}\right) \ov...
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 electr...
The energy of an electromagnetic wave contained in a small volume oscillates with
The energy density associated with electric field $$\vec{E}$$ and magnetic field $$\vec{B}$$ of an electromagnetic wave in free space is given by $$\l... For the plane electromagnetic wave given by$$E=E_{0} \sin (\omega t-k x)$$and$$B=B_{0} \sin (\omega t-k x)$$, the ratio of average electric energy ... The ratio of average electric energy density and total average energy density of electromagnetic wave is : Match List I with List II : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-fami... Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family... Given below are two statements : Statement I : Electromagnetic waves are not deflected by electric and magnetic field. Statement II : The amplitude of... Which of the following are true? A. Speed of light in vacuum is dependent on the direction of propagation. B. Speed of light in a medium is independen... Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-family... An electromagnetic wave is transporting energy in the negative$$z$$direction. At a certain point and certain time the direction of electric field of... The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by$$\mathrm{{E_x} = {E_o}\sin (kz - \om...
In $$\overrightarrow E$$ and $$\overrightarrow K$$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field v...
Match List - I with List - II : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-...
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 ...
Identify the correct statements from the following descriptions of various properties of electromagnetic waves. (A) In a plane electromagnetic wave el...
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 forc...
The oscillating magnetic field in a plane electromagnetic wave is given by $$B_{y}=5 \times 10^{-6} \sin 1000 \pi\left(5 x-4 \times 10^{8} t\right) T... A velocity selector consists of electric field$$\vec{E}=E \,\hat{k}$$and magnetic field$$\vec{B}=B \,\hat{j}$$with$$B=12 \,m T$$. The value of$$...
The magnetic field of a plane electromagnetic wave is given by : $$\overrightarrow{\mathrm{B}}=2 \times 10^{-8} \sin \left(0.5 \times 10^{3} x+1.5 \t... Light wave travelling in air along x-direction is given by$${E_y} = 540\sin \pi \times {10^4}(x - ct)\,V{m^{ - 1}}$$. Then, the peak value of magnet... The rms value of conduction current in a parallel plate capacitor is$$6.9 \,\mu \mathrm{A}$$. The capacity of this capacitor, if it is connected to ... An expression for oscillating electric field in a plane electromagnetic wave is given as Ez = 300 sin(5$$\pi\times$$103x$$-$$3$$\pi\times...
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 ...
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 o...
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...
Match List-I with List-II : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;border-width:1px;font-fami...
Which is the correct ascending order of wavelengths?
If Electric field intensity of a uniform plane electromagnetic wave is given as $$E = - 301.6\sin (kz - \omega t){\widehat a_x} + 452.4\sin (kz - \om... In free space, an electromagnetic wave of 3 GHz frequency strikes over the edge of an object of size$${\lambda \over {100}}$$, where$$\lambda$$is ... The electromagnetic waves travel in a medium at a speed of 2.0$$\times$$108 m/s. The relative permeability of the medium is 1.0. The relative permit... The electric field in an electromagnetic wave is given by E = 56.5 sin$$\omega$$(t$$-$$x/c) NC$$-$$1. Find the intensity of the wave if it is propa... An electric bulb is rated as 200 W. What will be the peak magnetic field at 4 m distance produced by the radiations coming from this bulb? Consider th... A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnitude of magnetic intensity is 4... Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by E = 20cos(2$$\times$$1010 t$$-$$200x) V/m. The ... The magnetic field vector of an electromagnetic wave is given by$$B = {B_0}{{\widehat i + \widehat j} \over {\sqrt 2 }}\cos (kz - \omega t)$$; where ... Electric field in a plane electromagnetic wave is given by E = 50 sin(500x$$-$$10$$\times$$1010 t) V/m The velocity of electromagnetic wave in thi... A light beam is described by$$E = 800\sin \omega \left( {t - {x \over c}} \right)$$. An electron is allowed to move normal to the propagation of ligh... The relative permittivity of distilled water is 81. The velocity of light in it will be :(Given$$\mu$$r = 1) A linearly polarized electromagnetic wave in vacuum is$$E = 3.1\cos \left[ {(1.8)z - (5.4 \times {{10}^6})t} \right]\widehat iN/C$$is incident normal... Intensity of sunlight is observed as 0.092 Wm$$-$$2 at a point in free space. What will be the peak value of magnetic field at the point?($${\varepsil...
In an electromagnetic wave the electric field vector and magnetic field vector are given as $$\overrightarrow E = {E_0}\widehat i$$ and $$\overrighta... A plane electromagnetic wave propagating along y-direction can have the following pair of electric field$$\left( {\overrightarrow E } \right)$$and m... A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x-direction. At a particular point in space and time,$$\overright...
A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular point in space and time, $$\overrightarro... For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric (Ue) and magnetic (Um) fields is :... Match List - I with List - II. List I List II (a) Source of microwave frequency (i) Radioactive decay of... For a plane electromagnetic wave, the magnetic field at a point x and time t is$$\overrightarrow B \left( {x,t} \right)$$=$$\left[ {1.2 \times {{10...
The correct match between the entries in column I and column II are : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;bor...
An electron is constrained to move along the y-axis with a speed of 0.1 c (c is the speed of light) in the presence of electromagnetic wave, whose ele...
The electric field of a plane electromagnetic wave is given by $$\overrightarrow E = {E_0}\left( {\widehat x + \widehat y} \right)\sin \left( {kz - \... Choose the correct option relating wave lengths of different parts of electromagnetic wave spectrum: The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is$$\overrightarrow E = {E_0}\widehat j\cos \left( {\...
The magnetic field of a plane electromagnetic wave is $$\overrightarrow B = 3 \times {10^{ - 8}}\sin \left[ {200\pi \left( {y + ct} \right)} \right]\... In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by$$\widehat k$$and$$2\widehat i - 2\widehat j...
A plane electromagnetic wave, has frequency of 2.0 $$\times$$ 1010 Hz and its energy density is 1.02 $$\times$$ 10–8 J/m3 in vacuum. The amplitude...
A plane electromagnetic wave is propagating along the direction $${{\widehat i + \widehat j} \over {\sqrt 2 }}$$ , with its polarization along the dir...
The electric fields of two plane electromagnetic plane waves in vacuum are given by $$\overrightarrow {{E_1}} = {E_0}\widehat j\cos \left( {\omega t ... A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic... The electric field of a plane electromagnetic wave is given by$$\overrightarrow E = {E_0}{{\widehat i + \widehat j} \over {\sqrt 2 }}\cos \left( {kz...
If the magnetic field in a plane electromagnetic wave is given by $$\overrightarrow B$$ = 3 $$\times$$ 10-8 sin(1.6 $$\times$$ 103x + 48 $$\time... A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in free space. The peak value of the Electric F... An electromagnetic wave is represented by the electric field$$\overrightarrow E = {E_0}\widehat n\sin \left[ {\omega t + \left( {6y - 8z} \right)} \...
Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm–2. If the surface has an area of 25 cm2, the momentum tran...
The electric field of a plane electromagnetic wave is given by $$\overrightarrow E = {E_0}\widehat i\cos (kz)cos(\omega t)$$ The corresponding magnet...
50 W/m2 energy density of sunlight is normally incident on the surface of a solar panel. Some part of incident energy (25%) is reflected from the surf...
The magnetic field of a plane electromagnetic wave is given by : $$\overline B = {B_0}\widehat i\left[ {\cos (kz - \omega t)} \right] + {B_i}\wideha... The magnetic field of an electromagnetic wave is given by :-$$\mathop B\limits^ \to = 1.6 \times {10^{ - 6}}\cos \left( {2 \times {{10}^7}z + 6 \ti...
A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and ...
The mean intensity of radiation on the surface of the Sun is about 108 W/m2 . The rms value of the corresponding magnetic field is closet to :...
A light wave is incident normally on a glass slab of refractive index 1.5. If 4 % of light gets reflected and the amplitude of the electric field of t...
A 27 mW laser beam has a cross-sectional area of 10 mm2. The magnitude of the maximum electric field in this electromagnetic wave is given by : [Given...
An electromagnetic wave of intensity 50 Wm–2 enters in a medium of refractive index 'n' without any loss. The ratio of the magnitudes of electric, and...
The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by an expression $$\overrightarrow E \left( {x,y} \r... If the magnetic field of a plane electromagnetic wave is given by (the speed of light = 3 × 108 B = 100 × 10–6 sin$$\left[ {2\pi \times 2 \times {{...
The energy associated with electric field is (UE) and with magnetic field is (UB) for an electromagnetic wave in free space. Then : ...
A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular point in space and time, $$\ov... A plane electromagnetic wave of wavelength$$\lambda $$has an intensity I. It is propagatting along the positive Y-direction. The allowed expression... An EM wave from air enters a medium. The electric fields are$$\overrightarrow {{E_1}} $$=$${E_{01}}\widehat x\cos \left[ {2\pi v\left( {{z \over c}...
A monochromatic beam of light has a frequency $$v = {3 \over {2\pi }} \times {10^{12}}Hz$$ and is propagating along the direction $${{\widehat i + \wi... The electric field component of a monochromatic radiation is given by$$\overrightarrow E $$= 2 E0$$\widehat i$$cos kz cos$$\omega $$t Its magneti... Magnetic field in a plane electromagnetic wave is given by$$\overrightarrow B $$= B0 sin (k x +$$\omega $$t)$$\widehat j\,T$$Expression for corr... Consider an electromagnetic wave propagating in vacuum. Choose the correct statement : Microwave oven acts on the principle of : Arrange the following electromagnetic radiations per quantum in the order of increasing energy : A : Blue light &nb... During the propagation of electromagnetic waves in a medium: Match List -$$1$$(Electromagnetic wave type ) with List -$$2$$(Its association/application) and select the correct option from the choices given ... The magnetic field in a travelling electromagnetic wave has a peak value of$$20nT$$. The peak value of electric field strength is : An electromagnetic wave in vacuum has the electric and magnetic field$$\mathop E\limits^ \to $$and$$\mathop B\limits^ \to $$, which are always per... The$$rms$$value of the electric field of the light coming from the Sun is$$720N/C.$$The average total energy density of the electromagnetic w... An electromagnetic wave of frequency$$v=3.0MHz$$passes from vacuum into a dielectric medium with permittivity$$ \in = 4.0.$$Then A radiation of energy$$E$$falls normally on a perfectly reflecting surface. The momentum transferred to the surface is Electromagnetic waves are transverse in nature is evident by Which of the following are not electromagnetic waves? ## Numerical In a medium the speed of light wave decreases to$$0.2$$times to its speed in free space The ratio of relative permittivity to the refractive index o... A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of$$24 \mathrm{~W}$$. The radius of... Nearly 10% of the power of a$$110 \mathrm{~W}$$light bulb is converted to visible radiation. The change in average intensities of visible radiation,... The displacement current of 4.425$$\mu$$A is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate... The intensity of the light from a bulb incident on a surface is 0.22 W/m2. The amplitude of the magnetic field in this light-wave is ______________$$...
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 ...
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 magne...
The electric field in a plane electromagnetic wave is given by $$\overrightarrow E = 200\cos \left[ {\left( {{{0.5 \times {{10}^3}} \over m}} \right)... The electric field intensity produced by the radiation coming from a 100 W bulb at a distance of 3 m is E. The electric field intensity produced by th... Seawater at a frequency f = 9$$\times$$102 Hz, has permittivity$$\varepsilon $$= 80$$\varepsilon $$0 and resistivity$$\rho$$= 0.25$$\Omega$$m. ... If 2.5$$\times$$10$$-$$6 N average force is exerted by a light wave on a non-reflecting surface of 30 cm2 area during 40 minutes of time span, the e... A radiation is emitted by 1000W bulb and it generates an electric field and magnetic field at P, placed at a distance of 2m. The efficiency of the bul... The peak electric field produced by the radiation coming from the 8W bulb at a distance of 10 m is$${x \over {10}}\sqrt {{{{\mu _0}c} \over \pi }} {V...
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...
An electromagnetic wave of frequency 3 GHz enters a dielectric medium of relative electric permittivity 2.25 from vacuum. The wavelength of this wave ...
An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are...
Suppose that intensity of a laser is $${{315} \over \pi }$$ W/m2. The rms electric field, in units of V/m associated with this source is close to the ...
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