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Physics · JEE Main, NEET, Olympiad (NSEP)

Electromagnetic Waves

165 practice questions with a worked solution for each. Tap an option to see instantly if you are right.

151MCQ14Numerical1With diagram

Start with question 1

1In an EM wave propagating in vacuum, the amplitude of electric field is $E_0 = 60\,\text{V/m}$ . The amplitude of magnetic field $B_0$ is:JEE Main/MCQ/Medium
2Which of the following electromagnetic waves has the shortest wavelength?NEET/MCQ/Medium
3A plane electromagnetic wave in free space has electric field $\vec{E} = E_0 \hat{j} \cos(kx - \omega t)$ . Which of the following statements are TRUE?Olympiad (NSEP)/Multi-correct/Hard
4For an electromagnetic wave propagating through vacuum, $\vec{k}$ , $\vec{E}$ and $\omega$ represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated with this wave is represented by :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
5A point light source emits E.M. waves in free space. A detector, placed at a distance of $L$ m, measures the intensity as $I_o$ . The detector is now shifted to another location on the same spherical surface ensuring the angle between original location and new location as $45°$ . The measured intensity at new location will be _______.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
6A displacement current of $4.0$ A can be set up in the space between two parallel plates of $6$ $\mu$ F capacitor. The rate of change of potential difference across the plates of the capacitor is nearly $\alpha \times 10^6$ V/s. The value of $\alpha$ is __________.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
7A magnetic field vector in an electromagnetic wave is represented by $\vec{B}=B_0\sin\left(2\pi vt-\dfrac{2\pi x}{\lambda}\right)\hat{j}$ . Its associated electric field vector is ______.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
8An electromagnetic wave travels in free space along the $x$ -direction. At a particular point in space and time, $\vec{B} = 2 \times 10^{-7} \hat{j}$ T is associated with this wave. The value of corresponding electric field $\vec{E}$ at this point is _______ V/m.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
9An electromagnetic wave travelling in $x$ -direction is described by field equation $E_y = 300\sin\omega\left(t - \dfrac{x}{c}\right)$ . If the electron is restricted to move in $y$ -direction only with speed of $1.5 \times 10^6$ m/s then ratio of maximum electric and magnetic forces acting on the electron is _______.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
10A plane electromagnetic wave is moving in free space with velocity $c=3 \times 10^{8} \mathrm{~m} / \mathrm{s}$ and its electric field is given as $\vec{E}=54 \sin (k z-\omega t) \hat{j} \mathrm{~V} / \mathrm{m}$ , where $\hat{j}$ is the unit vector along $y$ -axis. The magnetic field vector $\vec{B}$ of the wave is:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
11The electric field of an electromagnetic wave travelling through a medium is given by
$\vec{E}(x, t)=25 \sin \left(2.0 \times 10^{15} t-10^{7} x\right) \hat{n}$
then the refractive index of the medium is $\_\_\_\_$ .
(All given measurement are in SI units)JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
12The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant $k=3$ and permeability of $\mu=2 \mu_{0}$ , is
( $\mu_{0}=$ permeability of vacuum)JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
13The equation of the electric field of an electromagnetic wave propagating through free space is given by : $E=\sqrt{377} \sin \left(6.27 \times 10^{3} t-2.09 \times 10^{-5} x\right) \mathrm{N} / \mathrm{C}$
The average power of the electromagnetic wave is $\left(\frac{1}{\alpha}\right) \mathrm{W} / \mathrm{m}^{2}$ . The value of $\alpha$ is $\_\_\_\_$
(Take $\sqrt{\frac{\mu_{0}}{\varepsilon_{o}}}=377$ in SI units)JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
14Match List - I with List - II.
$\begin{array}{l} \text{List - I} & \text{List - II} \\ \text{Relation} & \text{Law} \\ \text{A. } \oint \vec{E} \cdot \overrightarrow{d l}=-\frac{d}{d t} \oint \vec{B} \cdot \overrightarrow{d a} & \text{I. Ampere's circuital law} \\ \text{B. } \oint \vec{B} \cdot \overrightarrow{d l}=\mu_{0}\left(I+\epsilon_{0} \frac{d \phi_{E}}{d t}\right) & \text{II. Faraday's laws of} \\ & \text{electromagnetic induction} \\ \text{C. } \oint \vec{E} \cdot \overrightarrow{d a}=\frac{1}{\epsilon_{0}} \int_{\mathrm{V}} \rho \mathrm{dv} & \text{III. Ampere - Maxwell law} \\ \text{D. } \oint \vec{B} \cdot \overrightarrow{d l}=\mu_{0} I & \text{IV. Gauss's law of electrostatics} \end{array}$
Choose the correct answer from the options given below :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
15A laser beam has intensity of $4.0 \times 10^{14} \mathrm{~W} / \mathrm{m}^{2}$ . The amplitude of magnetic field associated with beam is $\_\_\_\_$ T.
(Take $\epsilon_{\mathrm{o}}=8.85 \times 10^{-12} \mathrm{C}^{2} / \mathrm{Nm}^{2}$ and $\mathrm{c}=3 \times 10^{8} \mathrm{~m} / \mathrm{s}$ )JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
16The electric field of a plane electromagnetic wave, travelling in an unknown nonmagnetic medium is given by, $E_{\mathrm{y}}=20 \sin \left(3 \times 10^{6} x-4.5 \times 10^{14} \mathrm{t}\right) \mathrm{V} / \mathrm{m}$ (where $x, \mathrm{t}$ and other values have S.I. units). The dielectric constant of the medium is $\_\_\_\_$ (speed of light in free space is $3 \times 10^{8} \mathrm{~m} / \mathrm{s}$ )JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
17An electromagnetic wave of frequency 100 MHz propagates through a medium of conductivity, $\sigma=10 \mathrm{mho} / \mathrm{m}$ . The ratio of maximum conduction current density to maximum displacement current density is $\_\_\_\_$ .
$\left[\text{Take }\frac{1}{4 \pi \epsilon_{\mathrm{o}}}=9 \times 10^{9} \mathrm{Nm}^{2} / \mathrm{C}^{2}\right]$ JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
18The electric field in a plane electromagnetic wave is given by :
$E_{y}=69 \sin \left[0.6 \times 10^{3} x-1.8 \times 10^{11} t\right] \mathrm{V} / \mathrm{m}$ .
The expression for magnetic field associated with this electromagnetic wave is $\_\_\_\_$ T.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
19The unit of $\sqrt{\frac{2 \mathrm{I}}{\epsilon_0 c}}$ is :
(I = intensity of an electromagnetic wave, $\mathrm{c}:$ speed of light)JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
20Two plane polarized light waves combine at a certain point whose electric field components are
$\begin{aligned} & \mathrm{E}_1=\mathrm{E}_0 \sin \omega \mathrm{t} \\ & \mathrm{E}_2=\mathrm{E}_0 \sin \left(\omega \mathrm{t}+\frac{\pi}{3}\right)\end{aligned}$
Find the amplitude of the resultant wave.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
21If an optical medium possesses a relative permeability of $\frac{10}{\pi}$ and relative permittivity of $\frac{1}{0.0885}$ , then the velocity of light is greater in vacuum than that in this medium by ________ times.
$\left(\mu_0=4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}, \epsilon_0=8.85 \times 10^{-12} \mathrm{~F} / \mathrm{m}\right.$
$\left.\mathrm{c}=3 \times 10^8 \mathrm{~m} / \mathrm{s}\right)$ JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
22A plane electromagnetic wave propagates along the $+x$ direction in free space. The components of the electric field, $\vec{E}$ and magnetic field, $\vec{B}$ vectors associated with the wave in Cartesian frame areJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
23Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Electromagnetic waves carry energy but not momentum.
Reason ($\mathbf{R}$): Mass of a photon is zero.
In the light of the above statements, choose the most appropriate answer from the options given below :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
24The magnetic field of an E.M. wave is given by $\overrightarrow{\mathrm{B}}=\left(\frac{\sqrt{3}}{2} \hat{i}+\frac{1}{2} \hat{j}\right) 30 \sin \left[\omega\left(\mathrm{t}-\frac{z}{\mathrm{c}}\right)\right]$ (S.I. Units).
The corresponding electric field in S.I. units is :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
25Due to presence of an em-wave whose electric component is given by $\mathrm{E}=100 \sin (\omega \mathrm{t}-\mathrm{kx}) \mathrm{NC}^{-1}$ , a cylinder of length 200 cm holds certain amount of em-energy inside it. If another cylinder of same length but half diameter than previous one holds same amount of em-energy, the magnitude of the electric field of the corresponding em-wave should be modified asJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
26A plane electromagnetic wave of frequency 20 MHz travels in free space along the $+x$ direction. At a particular point in space and time, the electric field vector of the wave is $\mathrm{E}_y=9.3 \mathrm{Vm}^{-1}$ . Then, the magnetic field vector of the wave at that point isJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
27The electric field of an electromagnetic wave in free space is $\overrightarrow{\mathrm{E}}=57 \cos \left[7.5 \times 10^6 \mathrm{t}-5 \times 10^{-3}(3 x+4 y)\right](4 \hat{i}-3 \hat{j}) N / C$ .
The associated magnetic field in Tesla isJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
28A parallel plate capacitor of area $A=16 \mathrm{~cm}^2$ and separation between the plates 10 cm , is charged by a DC current. Consider a hypothetical plane surface of area $\mathrm{A}_0=3.2 \mathrm{~cm}^2$ inside the capacitor and parallel to the plates. At an instant, the current through the circuit is 6A. At the same instant the displacement current through $\mathrm{A}_0$ is ________ mA .JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
29The magnetic field in a plane electromagnetic wave is $\mathrm{B}_{\mathrm{y}}=\left(3.5 \times 10^{-7}\right) \sin \left(1.5 \times 10^3 x+0.5 \times 10^{11} t\right) \mathrm{T}$ . The corresponding electric field will be :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
30A plane EM wave is propagating along $x$ direction. It has a wavelength of $4 \mathrm{~mm}$ . If electric field is in $y$ direction with the maximum magnitude of $60 \mathrm{Vm}^{-1}$ , the equation for magnetic field is :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
31In the given electromagnetic wave $\mathrm{E}_{\mathrm{y}}=600 \sin (\omega \mathrm{t}-\mathrm{kx}) \mathrm{Vm}^{-1}$ , intensity of the associated light beam is (in $\mathrm{W} / \mathrm{m}^2$ : (Given $\epsilon_0=9 \times 10^{-12} \mathrm{C}^2 \mathrm{~N}^{-1} \mathrm{~m}^{-2}$ )JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
32Electromagnetic waves travel in a medium with speed of $1.5 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}$ . The relative permeability of the medium is 2.0 . The relative permittivity will be:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
33An alternating voltage of amplitude $40 \mathrm{~V}$ and frequency $4 \mathrm{kHz}$ is applied directly across the capacitor of $12 \mu \mathrm{F}$ . The maximum displacement current between the plates of the capacitor is nearly :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
34The electric field in an electromagnetic wave is given by $\overrightarrow{\mathrm{E}}=\hat{i} 40 \cos \omega(\mathrm{t}-z / \mathrm{c}) \mathrm{NC}^{-1}$ . The magnetic field induction of this wave is (in SI unit) :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
35If frequency of electromagnetic wave is $60MHz$ and it travels in air along $z$ direction then the corresponding electric and magnetic field vectors will be mutually perpendicular to each other and the wavelength of the wave $\left(inm\right)$ is :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
36Given 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:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
37In a plane EM wave, the electric field oscillates sinusoidally at a frequency of $5\times {10}^{10}Hz$ and an amplitude of $50V{m}^{–1}$ . The total average energy density of the electromagnetic field of the wave is : [Use ${\epsilon }_{0}=8.85\times {10}^{–12}{C}^{2}{N}^{-1}{m}^{-2}$ ]JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
38Match List I with List II List I List II A. Gauss’s law of magnetostatics i. $\oint \vec{E}\cdot d\vec{a}=\dfrac{1}{{\epsilon }_{0}}\int \rho dV$ B. Faraday’s law of electro magnetic induction ii. $\oint \vec{B}\cdot d\vec{a}=0$ C. Ampere’s law iii. $\oint \vec{E}\cdot d\vec{l}=\dfrac{-d}{dt}\int \vec{B}\cdot d\vec{a}$ D. Gauss’s law of electrostatics iv. $\oint \vec{B}\cdot d\vec{l}={\mu }_{0}I$ Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
39The electric field of an electromagnetic wave in free space is represented as $\vec{E}={E}_{0}\cos (\omega t-kz)\hat{i}$ . The corresponding magnetic induction vector will be :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
40A plane electromagnetic wave of frequency $35MHz$ travels in free space along the $X$ -direction. At a particular point (in space and time) $\vec{E}=9.6\hat{j}V{m}^{-1}$ . The value of magnetic field at this point is:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
41An object is placed in a medium of refractive index $3$ . An electromagnetic wave of intensity $6\times {10}^{8}W{m}^{-2}$ falls normally on the object and it is absorbed completely. The radiation pressure on the object would be (speed of light in free space $=3\times {10}^{8}m{s}^{-1}$ ):JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
42A plane electromagnetic wave propagating in $x$ -direction is described by
${E}_{y}=\left(200V{m}^{-1}\right)\sin \left[1.5\times {10}^{7}t-0.05x\right];$ The intensity of the wave is :
(Use ${ϵ}_{0}=8.85\times {10}^{-12}{C}^{2}{N}^{-1}{m}^{-2}$ )JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
43Match List-I with List II of Electromagnetic waves with corresponding wavelength range: List I List II (A) Microwave (I) $400nm$ to $1nm$ (B) Ultraviolet (II) $1nm$ to ${10}^{–3}nm$ (C) $X$ -Ray (III) $1mm$ to $700nm$ (D) Infra-red (IV) $0.1m$ to $1mm$ Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
44In an electromagnetic wave, at an instant and at a 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:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
45Given below are two statements:
Statement I : Out of microwaves, infrared rays and ultraviolet rays, ultraviolet rays are the most effective for the emission of electrons from a metallic surface
Statement II : Above the threshold frequency, the maximum kinetic energy of photoelectrons is inversely proportional to the frequency of the incident light
In the light of above statements, choose the correct answer from the options given belowJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
46Which of the following Maxwell’s equation is valid for time varying conditions but not valid for static conditions:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
47Given 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.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
48A plane electromagnetic wave of frequency $20MHz$ propagates in free space along $x$ -direction. At a particular space and time $\vec{E}=6.6\hat{j}V{m}^{-1}$ . What is $\vec{B}$ at this point?JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
49The energy density associated with electric field $\vec{E}$ and magnetic field $\vec{B}$ of an electromagnetic wave in free space is given by ( ${\epsilon }_{0}-$ permittivity of free space, ${\mu }_{0}-$ permeability of free space)JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
50The ratio of average electric energy density and total average energy density of electromagnetic wave is:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
51Given below are two statements :
Statement I : Electromagnetic waves are not deflected by electric and magnetic field.
Statement II : The amplitude of electric field and the magnetic field in electromagnetic waves are related to each other as ${E}_{0}=\sqrt{\dfrac{{\mu }_{0}}{{\epsilon }_{0}}}{B}_{0}$ .
In the light of the above statements, choose the correct answer from the options given below:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
52Which 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 independent of the wavelength of light.
C. The speed of light is independent of the motion of the source.
D. The speed of light in a medium is independent of intensity.
Choose the correct answer from the question given below :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
53Match List I and List II A Gauss’s Law in Electrostatics I $\oint \vec{E}\cdot \vec{dl}=-\dfrac{d{\phi }_{B}}{dt}$ B Faraday's Law II $\oint \vec{B}\cdot d\vec{A}=0$ C Gauss’s Law in Magnetism III $\oint \vec{B}\cdot d\vec{l}={\mu }_{0}{i}_{c}+{\mu }_{0}{\in }_{0}\dfrac{d{\phi }_{E}}{dt}$ D Ampere-Maxwell Law IV $\oint \vec{E}\cdot d\vec{s}=\dfrac{q}{{\in }_{0}}$ Choose the correct answer from the options given below :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
54All 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 field of the wave at that point and instant?JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
55The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by
${E}_{x}={E}_{0}\sin \left(kz-\omega t\right)$
${B}_{y}={B}_{0}\sin \left(kz-\omega t\right)$
Then the correct relation between ${E}_{0}$ and ${B}_{0}$ is given byJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
56If $\vec{E}$ and $\vec{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by:
( $\omega -$ angular frequency)JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
57Sun light falls normally on a surface of area $36{cm}^{2}$ and exerts an average force of $7.2\times {10}^{-9}N$ within a time period of $20$ minutes. Considering a case of complete absorption, the energy flux of incident light isJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
58Identify 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 propagation of wave should be along electric field or magnetic field.
B. The energy in electromagnetic wave is divided equally between electric and magnetic fields.
C. Both electric field and magnetic field are parallel to each other and perpendicular to the direction of propagation of wave.
D. The electric field, magnetic field and direction of propagation of wave must be perpendicular to each other.
E. The ratio of amplitude of magnetic field to the amplitude of electric field is equal to speed of light.
Choose the most appropriate answer from the options given below:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
59A beam of light travelling along $X$ -axis is described by the electric field ${E}_{y}=900\sin \omega \left(t-\dfrac{x}{c}\right)$ . The ratio of electric force to magnetic force on a charge $q$ moving along $Y$ -axis with a speed of $3\times {10}^{7}m{s}^{-1}$ will be :
[Given speed of light $=3\times {10}^{8}m{s}^{-1}$ ]JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
60The oscillating magnetic field in a plane electromagnetic wave is given by ${B}_{y}=5\times {10}^{-6}\sin 1000\pi \left(5x-4\times {10}^{8}t\right)T$ . The amplitude of electric field will beJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
61The magnetic field of a plane electromagnetic wave is given by $\vec{B}=2\times {10}^{-8}\sin \left(0.5\times {10}^{3}x+1.5\times {10}^{11}t\right)\hat{j}T$ . The amplitude of the electric field would beJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
62Light wave travelling in air along $x$ -direction is given by ${E}_{y}=540\sin \pi \times {10}^{4}\left(x-ct\right)V{m}^{-1}$ . Then, the peak value of magnetic field of wave will be (Given $c=3\times {10}^{8}m{s}^{-1}$ )JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
63The intensity of the light from a bulb incident on a surface is $0.22W{m}^{-2}$ . The amplitude of the magnetic field in this light-wave is _____ $\times {10}^{-9}T$
(Given : Permittivity of vacuum ${ϵ}_{0}=8.85\times {10}^{-12}{C}^{2}{N}^{-1}{m}^{-2}$ , speed of light in vacuum $c=3\times {10}^{8}{ms}^{-1}$ )JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
64An EM wave propagating in $x$ -direction has a wavelength of $8mm$ . 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 :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
65Given 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 EM wave travels with speed $v=\dfrac{1}{\sqrt{{\mu }_{0}{ϵ}_{0}}}$ .
In the light of the above statements, choose the correct answer from the options given below.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
66If Electric field intensity of a uniform plane electro magnetic wave is given as $E=-301.6\sin \left(kz-\omega t\right){\hat{a}}_{x}+452.4\sin \left(kz-\omega t\right){\hat{a}}_{y}V{m}^{-1}.$ Then, magnetic intensity $H$ of this wave in $A{m}^{-1}$ will be [Given : Speed of light in vacuum $c=3\times {10}^{8}{ms}^{-1}$ , Permeability of vacuum ${\mu }_{0}=4\pi \times {10}^{-7}N{A}^{-2}$ ]JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
67The electromagnetic waves travel in a medium at a speed of $2.0\times {10}^{8}m{s}^{-1}$ . The relative permeability of the medium is $1.0$ . The relative permittivity of the medium will beJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
68The electric field in an electromagnetic wave is given by $E=56.5\sin \omega \left(\dfrac{t-x}{c}\right){NC}^{-1}$ . Find the intensity of the wave if it is propagating along $x$ -axis in the free space. (Given ${ϵ}_{0}=8.85\times {10}^{-12}{C}^{2}{N}^{-1}{m}^{-2}$ )JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
69An electric bulb is rated as $200W$ . What will be the peak magnetic field at $4m$ distance produced by the radiations coming from this bulb? Consider this bulb as a point source with $3.5%$ efficiency.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
70A plane electromagnetic wave travels in a medium of relative permeability $1.61$ and relative permittivity $6.44$ . If magnitude of magnetic intensity is $4.5\times {10}^{-2}A{m}^{-1}$ at a point, what will be the approximate magnitude of electric field intensity at that point ?
(Given : Permeability of free space ${\mu }_{0}=4\pi \times {10}^{-7}N{A}^{-2}$ , speed of light in vacuum $c=3\times {10}^{8}{ms}^{-1}$ )JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
71There are two infinitely long straight current-carrying conductors and they are held at right angles to each other so that their common ends meet at the origin as shown in the figure given below. The ratio of current in both conductors is $1:1$ . The magnetic field at point $P$ is $_________.$
JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations/With diagram
72The magnetic field vector of an electromagnetic wave is given by $B={B}_{0}\dfrac{\hat{i}+\hat{j}}{\sqrt{2}}\cos \left(kz-\omega t\right)$ where $\hat{i},\hat{j}$ represents unit vector along $x$ and $y$ -axis respectively. At $t=0s,$ two electric charges ${q}_{1}$ of $4\pi$ coulomb and ${q}_{2}$ of $2\pi$ coulomb located at $\left(0,0,\dfrac{\pi }{k}\right)$ and $\left(0,0,\dfrac{3\pi }{k}\right),$ respectively, have the same velocity of $0.5c\hat{i},$ (where $c$ is the velocity of light ). The ratio of the force acting on charge ${q}_{1}$ to ${q}_{2}$ is :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
73The electric field in an electromagnetic wave is given by
$E=\left(50N{C}^{-1}\right)\sin \omega (t-\dfrac{x}{c})$
The energy contained in a cylinder of volume $V$ is $5.5\times {10}^{-12}J.$ The value of $V$ is _______ ${cm}^{3}.$
(given ${ϵ}_{0}=8.8\times {10}^{-12}{C}^{2}{N}^{-1}{m}^{-2}$ )JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
74A plane electromagnetic wave with a frequency of $30MHz$ travels in free space. At a particular point in space and time, the electric field is $6V{m}^{-1}$ . The magnetic field at this point will be $x\times {10}^{-8}T$ . The value of $x$ is,JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
75The electric field in a plane electromagnetic wave is given by, $E=50\sin \left(500x-10\times {10}^{10}t\right)V{m}^{-1}$ . The velocity of an electromagnetic wave in this medium is: (Given $c=$ the speed of light in vacuum).JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
76A light beam is described by $E=800\sin \omega \left(t-\dfrac{x}{c}\right).$ An electron is allowed to move normal to the propagation of light beam with a speed of $3\times {10}^{7}{ms}^{-1}$ . What is the maximum magnetic force exerted on the electron?JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
77The electric field in a plane electromagnetic wave is given by
$\vec{E}=200\cos \left[\left(0.5\times {10}^{3}{m}^{-1}\right)x-\left(1.5\times {10}^{11}rad{s}^{-1}\right)t\right]V{m}^{-1}\hat{j}$ .
If this wave falls normally on a perfectly reflecting surface having an area of $100{cm}^{2}$ . If the radiation pressure exerted by the E.M. wave on the surface during a $10\min$ exposure is $\dfrac{k}{{10}^{9}}N{m}^{-2}$ . Find the value of $k$ JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
78A linearly polarised electromagnetic wave in vacuum is $E=3.1\cos \left[\left(1.8\right)z-\left(5.4\times {10}^{6}\right)t\right]\hat{i}N{C}^{-1}$ is incident normally on a perfectly reflecting wall at $z=a$ . Choose the correct option.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
79Intensity 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 that point ? $\left({\epsilon }_{0}=8.85\times {10}^{-12}{C}^{2}{N}^{-1}{m}^{-2}\right)$ JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
80In an electromagnetic wave, the electric field vector and magnetic field vector are given as $\vec{E}={E}_{0}\hat{i}$ and $\vec{B}={B}_{0}\hat{k}$ , respectively. The direction of
propagation of electromagnetic wave is along:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
81A plane electromagnetic wave propagating along y-direction can have the following pair of electric field $(\vec{E})$ and magnetic field $(\vec{B})$ components.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
82A plane electromagnetic wave of frequency $100MHz$ is traveling in a vacuum along the $x-$ direction. At a particular point in space and time, $\vec{B}=2.0\times {10}^{-8}\hat{k}T\cdot$ (where, $\hat{k}$ is unit vector along $z-$ direction) What is $\vec{E}$ at this point?JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
83If $2.5\times {10}^{-6}N$ average force is exerted by a light wave on a non-reflecting surface of $30{cm}^{2}$ area during $40\min$ of time span, the energy flux of light just before it falls on the surface is _______ $W{cm}^{-2}.$ (Round off to the Nearest Integer), (Assume complete absorption and normal incidence conditions are there)JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
84Red light differs from blue light as they have :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
85For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric $\left({U}_{e}\right)$ and magnetic $\left({U}_{m}\right)$ fields is :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
86A plane electromagnetic wave of frequency $500MHz$ is traveling in a vacuum along the $y-$ direction. At a particular point in space and time, $\vec{B}=8.0\times {10}^{-8}\hat{z}T$ . The value of the electric field at this point is:(speed of light $=3\times {10}^{8}{ms}^{-1}$ ) $\hat{x},\hat{y},\hat{z}$ are unit vectors along $x,y$ and $z$ direction.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
87A 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 $x\times {10}^{-1}V{m}^{-1}$ . Value of $x$ is (Rounded-off to the nearest integer) [Take ${\epsilon }_{0}=8.85\times {10}^{-12}{C}^{2}{N}^{-1}{m}^{-2},c=3\times {10}^{6}m{s}^{-1}$ ]JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
88An electromagnetic wave of frequency $3GHz$ enters a dielectric medium of relative electric permittivity $2.25$ from vacuum. The wavelength of this wave in that medium will be _________ $\times {10}^{-2}cm.$ JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
89Match List - I with List - II. List-I List-II (a) Source of microwave frequency (i) Radioactive decay of nucleus (b) Source of infrared frequency (ii) Magnetron (c) Source of Gamma Rays (iii) Inner shell electrons (d) Source of $X$ -rays (iv) Vibration of atoms and molecules (v) LASER (vi) RC circuit Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
90An electromagnetic wave of frequency $5GHz$ , is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are $2.$ Its velocity in this medium is _______ $\times {10}^{7}m{s}^{-1}$ .JEE Main/Numerical/Medium/Electromagnetic Waves and Maxwell's equations
91For a plane electromagnetic wave, the magnetic field at a point $x$ and time $t$ is :
$\vec{B}\left(x, t\right)=\left[1.2\times {10}^{-7}\sin \left(0.5\times {10}^{3}x+1.5\times {10}^{11}t\right)\hat{k}\right]T$ .
The instantaneous electric field $\vec{E}$ corresponding to $\vec{B}$ is :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
92The electric field of a plane electromagnetic wave is given by $\vec{E}={E}_{0}\left(\hat{x}+\hat{y}\right)\sin \left(kz-\omega t\right)$ . Its magnetic field will be given byJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
93The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is $\vec{E}={E}_{0}jcos(\omega t-kx).$ The magnetic field $\vec{B},$ at the moment $t=0$ is:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
94The magnetic field of a plane electromagnetic wave is $\vec{B}=3\times {10}^{-8}\sin \left[200\pi (y+ct)\right]\hat{i}T$ . Where, $c=3\times {10}^{8}m{s}^{-1}$ is the speed of light the corresponding electric filed is :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
95In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by $\hat{k}$ and $2\hat{i}-2\hat{j}$ , respectively. What is the unit vector along direction of propagation of the wave.JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
96A plane electromagnetic wave, has frequency of $2.0\times {10}^{10}Hz$ and its energy density is $1.02\times {10}^{-8}J{m}^{-3}$ in vacuum. The amplitude of the magnetic field of the wave is close to $\left(\dfrac{1}{4{\pi \epsilon }_{0}}=9\times {10}^{9}\dfrac{{Nm}^{2}}{{C}^{2}}\right)$ and speed of light $=3\times {10}^{8}m{s}^{-1}$ .JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
97A plane electromagnetic wave is propagating along the direction $\dfrac{\hat{i}+\hat{j}}{\sqrt{2}},$ with its polarization along the direction $\hat{k.}$ The correct form of the magnetic field of the wave would be (here ${B}_{0}$ is an appropriate constant):JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
98The electric fields of two plane electromagnetic plane waves in vacuum are given by $\vec{{E}_{1}}={E}_{0}\hat{j}\cos ⁡\left(\omega t-kx\right)$ and $\vec{{E}_{2}}={E}_{0}\hat{k}\cos ⁡\left(\omega t-ky\right)$ At $t=0,$ a particle of charge $q$ is at origin with a velocity $\vec{v}=08c\hat{j}$ ( $c$ is the speed of light in vaccum). The instantaneous force experienced by the particle is:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
99A plane electromagnetic wave of frequency $25GHz$ is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic filed is given by $\vec{B}=5\times {10}^{-8} \hat{j} T.$ The corresponding electric field $\vec{E}$ is (speed of light $=3\times {10}^{8} m{s}^{-1}$ )JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
100If the magnetic field in a plane electromagnetic wave is given by $\vec{B}=3\times {10}^{-8}\sin ⁡\left(1.6\times {10}^{3}x+48\times {10}^{10}t\right)\hat{j}T,$ then what will be expression for electric field ?JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
101A plane electromagnetic wave having a frequency $f=23.9 GHz$ propagates along the positive $z-$ direction in free space. The peak value of the Electric Field is $60V/m.$ Which among the following is the acceptable magnetic field component in the electromagnetic wave?JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
102An electromagnetic wave is represented by the electric filed $\vec{E}={E}_{0}\hat{n}\sin ⁡\left[\omega t+\left(6y-8z\right)\right].$ Taking unit vectors in $x,y$ and $z$ directions to be $\hat{i},\hat{j},\hat{k},$ the directions of propogations $\hat{s},$ is:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
103The electric field of a plane electromagnetic wave is given by
$\vec{E}={E}_{0}\hat{i}\cos ⁡\left(kz\right)cos⁡(\omega t)$
The corresponding magnetic field $\vec{B}$ is then given by:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
104Sunlight of intensity $50W{m}^{-2}$ is incident normally on the surface of a solar panel. Some part of incident energy ( $25%$ ) is reflected from the surface and the rest is absorbed. The force exerted on $1{m}^{2}$ surface area will be close to $\left(c=3\times {10}^{8}m{s}^{-1}\right)$ JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
105The magnetic field of a plane electromagnetic wave is given by $\vec{B}={B}_{0}\hat{i}\left[cos\left(kz-\omega t\right)\right]+{B}_{1}\hat{j}cos\left(kz+\omega t\right)$ , where ${B}_{0}=3\times {10}^{–5}T$ and ${B}_{1}=2\times {10}^{–6}T$ . The $RMS$ value of the force experienced by a stationary charge $Q={10}^{–4}C$ at $z=0$ is closest toJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
106The magnetic field of an electromagnetic wave is given by:
$\vec{B}=1.6\times {10}^{-6}\cos ⁡\left(2\times {10}^{7}z+6\times {10}^{15}t\right)\left(2\hat{i}+\hat{j}\right)\dfrac{Wb}{{m}^{2}}$
The associated electric field will be:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
107A 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 time is $E=6V{m}^{-1}$ along y-direction. Its corresponding magnetic field component, $B$ would be:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
108The mean intensity of radiation on the surface of the Sun is about ${10}^{8}W/{m}^{2}.$ The rms value of the corresponding magnetic field is closest to:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
109A $27 \mathrm{~mW}$ laser beam has a cross-sectional area of $10 \mathrm{~mm}^{2}$ . The magnitude of the maximum electric field in this electromagnetic wave is given by:

[Given permittivity of space $\epsilon_{0}=9 \times 10^{-12} \mathrm{SI}$ units, Speed of light $\left.\mathrm{c}=3 \times 10^{8} \mathrm{~m} / \mathrm{s}\right]$ JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
110An electromagnetic wave of intensity $50 \mathrm{Wm}^{-2}$ enters in a medium of refractive index 'n' without any loss. The ratio of the magnitudes of electric fields, and the ratio of the magnitudes of magnetic fields of the wave before and after entering into the medium are respectively, given by :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
111The electric field of a plane polarized electromagnetic wave in free space at time $t=0$ is given by the expression $\vec{E}\left(x, y\right)=10\hat{j}cos\left(6x+8z\right)$ . The magnetic field $\vec{B}\left(x, z, t\right)$ is given by ( $c$ is the velocity of light.)JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
112If the magnetic field of a plane electromagnetic wave is given by (The speed of light $=3\times {10}^{8}m/s$ )

$B=100\times {10}^{-6}\sin ⁡\left[2\pi \times 2\times {10}^{15}\left(t-\dfrac{x}{c}\right)\right]$ then the maximum electric field associated with it is:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
113The energy associated with electric field is $\left({U}_{E}\right)$ and with magnetic field is $\left({U}_{B}\right)$ for an electromagnetic wave in free space. Then:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
114A plane electromagnetic wave of frequency $50MHz$ travels in free space along the positive $x$ - direction. At a particular point in space and time, $\vec{E}=6.3\hat{j}V/m,$ The corresponding magnetic field $\vec{B,}$ at that point will be:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
115A plane electromagnetic wave of wavelength $\lambda$ has an intensity $I$ . It is propagating along the positive $Y-$ direction. The allowed expressions for the electric and magnetic fields are given by:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
116A plane polarized monochromatic EM wave is travelling a vacuum along $z$ direction such that at $\mathrm{t}=\mathrm{t}_1$ 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:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
117A monochromatic beam of light has a frequency $v=\dfrac{3}{2\pi }\times {10}^{12}$ $Hz$ and is propagating along the direction $\dfrac{\hat{i}+\hat{j}}{\sqrt{2}}$ . It is polarized along the $\hat{k}$ direction. The acceptance form the magnetic field is:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
118A monochromatic beam of light has a frequency $v=\frac{3}{2 \pi} \times 10^{12} \mathrm{~Hz}$ and is propagating along the direction $\frac{\hat{i}+\hat{j}}{\sqrt{2}}$ . It is polarized along the $\hat{k}$ direction. The acceptable form for the magnetic field is:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
119An EM wave from air enters a medium. The electric fields are ${\vec{E}}_{1}={E}_{01}\hat{x}\cos ⁡\left[2\pi v\left(\dfrac{z}{c}-t\right)\right]$ in air and ${\vec{E}}_{2}={E}_{02}\hat{x}\cos ⁡\left[k\left(2z-ct\right)\right]$ in medium, where the wave number k and frequency $v$ refer to their values in the air. The medium is non-magnetic. If ${ϵ}_{{r}_{1}}$ and ${ϵ}_{{r}_{2}}$ refer to relative permittivities of air and medium respectively, which of the following options, is correct?JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
120The electric field component of a monochromatic radiation is given by $\vec{E}=2{E}_{0}\cos kz\cos \omega t\hat{i}$ , Its magnetic field $\vec{B}$ is then given by:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
121Magnetic field in a plane electromagnetic wave is given by,

$\vec{B}={B}_{0}\sin \left(kx+\omega t\right)\hat{j}T$ . Expression for corresponding electric field will be:

(Where $c$ is speed of light)JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
122Consider an electromagnetic wave propagating in vacuum. Choose the correct statement:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
123For plane electromagnetic waves propagating in the $+z$ -direction, which one of the following combinations gives the correct possible direction for $\vec{E}$ and $\vec{B}$ field respectively?JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
124An electromagnetic wave travelling in the $x-$ direction has frequency of $2\times {10}^{14}Hz$ and electric field amplitude of $27V{m}^{–1}$ oscillates in $Y-$ direction. From the options given below, which one describes the magnetic field for this wave?JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
125A red $LED$ emits light at $0.1watt$ uniformly around it. The amplitude of the electric field of the light at a distance of $1m$ from the diode is:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
126A lamp emits monochromatic green light uniformly in all directions. The lamp is $3 \%$ efficient in converting electrical power to electromagnetic waves and consumes $100 \mathrm{~W}$ of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of $5 \mathrm{~m}$ from the lamp will be nearly:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
127An electromagnetic wave of frequency $1 \times 10^{14}$ hertz is propagating along $\mathrm{z}$ -axis. The amplitude of electric field is $4 \mathrm{~V} / \mathrm{m}$ . If $\varepsilon_0=8.8 \times 10^{-12} \mathrm{C}^2 / \mathrm{N}-$ $\mathrm{m}^2$ , then average energy density of electric field will be:JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
128During the propagation of electromagnetic wave in a particular medium :-JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
129Select the correct statement from the following :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
130A plane electromagnetic wave in a non-magnetic dielectric medium is given by $\vec{E}=\vec{E}_0\left(4 \times 10^{-7} x-50 t\right)$ with distance being in meter and time in seconds. The dielectric constant of the medium is :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
131The magnetic field in a travelling electromagnetic wave has a peak value of $20nT$ . The peak value of electric field strength is :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
132A radio transmitter transmits at $830 \mathrm{kHz}$ . At a certain distance from the transmitter magnetic field has amplitude $4.82 \times 10^{-11} \mathrm{~T}$ . The electric field and the wavelength are respectivelyJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
133An electromagnetic wave with frequency $\omega$ and wavelength $\lambda$ travels in the $+y$ direction. Its magnetic field is along $+x$ -axis. The vector equation for the associated electric field (of amplitude $E_0$ ) isJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
134An electromagnetic wave in vacuum has the electric and magnetic fields $\vec{E}$ and $\vec{B}$ , which are always perpendicular to each other. The direction of polarization is given by $\vec{X}$ and that of wave propagation by $\overrightarrow{\mathrm{k}}$ . Then :JEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
135The rms value of the electric field of the light coming from the Sun is $720 \mathrm{~N} / \mathrm{C}$ . The average total energy density of the electromagnetic wave isJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
136An electromagnetic wave of frequency $v=3.0 \mathrm{MHz}$ passes from vacuum into a dielectric medium with permittivity $\varepsilon=4.0$ . ThenJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
137Electromagnetic waves are transverse in nature is evident byJEE Main/MCQ/Medium/Electromagnetic Waves and Maxwell's equations
138A monochromatic source of light operating at $15$ kW emits $2.5\times 10^{22}$ photons/s. The region of an electromagnetic spectrum to which the emitted electromagnetic radiation belongs to ________. (Take $h=6.6\times 10^{-34}$ J·s and $c=3\times 10^8$ m/s).JEE Main/MCQ/Medium/Electromagnetic Spectrum
139Match the LIST-I with LIST-II
$\begin{array}{|l|l|l|l|} \hline & \text{List-I} & & \text{List-II} \\ \hline \text{A.} & \text{Radio-wave} & \text{I.} & \text{is produced by Magnetron valve} \\ \hline \text{B.} & \text{Micro-wave} & \text{II.} & \text{due to change in the vibrational modes of atoms} \\ \hline \text{C.} & \text{Infrared-wave} & \text{III.} & \text{due to inner shell electrons moving from higher to lower energy level} \\ \hline \text{D.} & \text{X-ray} & \text{IV.} & \text{due to rapid acceleration of electrons} \\ \hline \end{array}$
Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Electromagnetic Spectrum
140Match List-I with List-II :
$\begin{array}{|c|c|c|c|}
\hline & \text { List-I } & & \text { List-II } \\
\hline & \text { EM-Wave } & & \text { Wavelength Range } \\
\hline \text { (A) } & \text { Infra-red } & \text { (I) } & \lt 10^{-3} \mathrm{~nm} \\
\hline \text { (B) } & \text { Ultraviolet } & \text { (II) } & 400 \mathrm{~nm} \text { to } 1 \mathrm{~nm} \\
\hline \text { (C) } & \text { X-rays } S & \text { (III) } & 1 \mathrm{~mm} \text { to } 700 \mathrm{~nm} \\
\hline \text { (D) } & \text { Gamma rays } & \text { (IV) } & 1 \mathrm{~nm} \text { to } 10^{-3} \mathrm{~nm} \\
\hline
\end{array}$JEE Main/MCQ/Medium/Electromagnetic Spectrum
141Arrange the following in the ascending order of wavelength:
A. Gamma rays $\left(\lambda_1\right)$
B. $x$ - rays $\left(\lambda_2\right)$
C. Infrared waves $\left(\lambda_3\right)$
D. Microwaves $\left(\lambda_4\right)$
Choose the most appropriate answer from the options given belowJEE Main/MCQ/Medium/Electromagnetic Spectrum
142The amplitude of magnetic field in an electromagnetic wave propagating along $y$ -axis is $6.0\times {10}^{–7}T$ . The maximum value of electric field in the electromagnetic wave isJEE Main/MCQ/Medium/Electromagnetic Spectrum
143Match the List-I with List-II: List I List II A Microwaves I Radioactive decay of the nucleus B Gamma rays II Rapid acceleration and deceleration of electron in aerials C Radio waves III Inner shell electrons D X-rays IV Klystron valve Choose the correct answer from the options given below:JEE Main/MCQ/Medium/Electromagnetic Spectrum
144Match List - I with List - II List-I List-II (a) UV rays (i) Diagnostic tool in medicine (b) $X$ -rays (ii) Water purification (c) Microwave (iii) Communication, Radar (d) Infrared wave (iv) Improving visibility in foggy days Choose the correct answer from the options given below :JEE Main/MCQ/Medium/Electromagnetic Spectrum
145Match List - I with List - II List-I List-II (a) Ultravoilet rays (i) Study crystal structure (b) Microwaves (ii) Greenhouse effect (c) Infrared waves (iii) Sterilizing surgical instrument (d) $X$ -rays (iv) Radar systemJEE Main/MCQ/Medium/Electromagnetic Spectrum
146Which is the correct ascending order of wavelengths?JEE Main/MCQ/Medium/Electromagnetic Spectrum
147Choose the correct option relating wavelengths of different parts of electromagnetic wave spectrum:JEE Main/MCQ/Medium/Electromagnetic Spectrum
148Given below in the left column are different modes of communication using the kinds of waves given in the right column. (1) Optical Fibre Communication (P) Ultrasound (2) Radar (Q) Infrared Light (3) Sonar (R) Microwaves (4) Mobile Phones (S) Radio Waves
From the options given below, find the most appropriate match between entries in the left and the right column.JEE Main/MCQ/Medium/Electromagnetic Spectrum
149Microwave oven acts on the principle of:JEE Main/MCQ/Medium/Electromagnetic Spectrum
150Arrange the following electromagnetic radiations per quantum in the order of increasing energy:
$A:$ Blue light
$B:$ Yellow light
$C:$ X-ray
$D:$ RadiowaveJEE Main/MCQ/Medium/Electromagnetic Spectrum
151If microwaves, $X‐$ rays, infrared, gamma rays, ultraviolet, radio waves and visible parts of the electromagnetic spectrum are denoted respectively by $M$ , $X$ , $I$ , $G$ , $U$ , $R$ and $V$ the following is the arrangement in ascending order of the wavelengthJEE Main/MCQ/Medium/Electromagnetic Spectrum
152Match List I (Wavelength range of electromagnetic spectrum) with List II (Method of production of these waves) and select the correct option from the options given below the lists. List I List II (a) $700nm$ to $1mm$ (i) Vibration of atoms and molecules. (b) $1nm$ to $400nm$ (ii) Inner shell electrons in atoms moving from one energy level to a lower level. (c) $\lt {10}^{-3}nm$ (iii) Radioactive decay of the nucleus. (d) $1mm$ to $0.1m$ (iv) Magnetron valve.JEE Main/MCQ/Medium/Electromagnetic Spectrum
153Match List - I (Electromagnetic wave type) with List - II (Its association/application) and select the correct option from the choices given below the lists :
List - I List - II (a) Infrared waves (i) To treat muscular strain (b) Radio waves (ii) For broadcasting (c) X - rays (iii) To detect fracture of bones (d) Ultraviolet rays (iv) Absorbed by the ozone layer of the atmosphereJEE Main/MCQ/Medium/Electromagnetic Spectrum
154Photons of an electromagnetic radiation has an energy $11 \mathrm{keV}$ each. To which region of electromagnetic spectrum does it belong ?JEE Main/MCQ/Medium/Electromagnetic Spectrum
155The frequency of $X$ -rays; $\gamma$ -rays and ultraviolet rays are respectively $a, b$ and $c$ thenJEE Main/MCQ/Medium/Electromagnetic Spectrum
156If a source of power $4 \mathrm{~kW}$ produces $10^{20}$ photons/second, the radiation belong to a part of the spectrum calledJEE Main/MCQ/Medium/Electromagnetic Spectrum
157Which of the following are not electromagnetic waves?JEE Main/MCQ/Medium/Electromagnetic Spectrum
158Infra red radiation is detected byJEE Main/MCQ/Medium/Electromagnetic Spectrum
159The waves emitted when a metal target is bombarded with high energy electrons areJEE Main/MCQ/Medium/X-Rays
160Match List I and List II List I List II A Microwaves I Physiotherapy B UV rays II Treatment of cancer C Infra-red rays III Lasik eye surgery D X-rays IV Aircraft navigation Choose the correct answer from the option given below:JEE Main/MCQ/Medium/X-Rays
161The wavelength of an X-ray beam is $10Å$ . The mass of a fictitious particle having the same energy as that of the X-ray photons is $\dfrac{x}{3}hkg.$ The value of $x$ is ___ . ( $h=$ Planck's constant)JEE Main/Numerical/Medium/X-Rays
162An X-ray tube is operated at $1.24$ million volt. The shortest wavelength of the produced photon will be:JEE Main/MCQ/Medium/X-Rays
163The correct match between the entries in column I and column II are : I II Radiation Wavelength a Microwave i $100m$ b Gamma rays ii ${10}^{-15}m$ c A.M. radio iii ${10}^{-10}m$ d X–rays iv ${10}^{-3}m$ JEE Main/MCQ/Medium/X-Rays
164Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the sources emit light of the same power 200 W. The ratio of the number density of photons of X-rays to the number density of photons of the visible light of the given wavelengths is:JEE Main/MCQ/Medium/X-Rays
165An electron beam is accelerated by a potential difference $V$ to hit a metallic target to produce $X-$ rays. It produces continuous as well as characteristic $X-$ rays. If ${\lambda }_{min}$ is the smallest possible wavelength of $X-$ ray in the spectrum, the variation of $\log \left({\lambda }_{min}\right)$ with $\log \left(V\right)$ is correctly represented in :JEE Main/MCQ/Medium/X-Rays

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