Electromagnetic Waves PYQs - Last 5 Years

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Practice 88 JEE Main Physics questions from Electromagnetic Waves. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 5 Years Electromagnetic Waves Questions

Showing 50 of 88 filtered questions.

1Electromagnetic Waves

A point light source emits E.M. waves in free space. A detector, placed at a distance of $L \mathrm{~m}$, measures the intensity as $I_{\mathrm{o}}$. The detector is now shifted to another location on the same spherical surface ensuring the...

2Electromagnetic Waves

For 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:

3Electromagnetic Waves

A displacement current of 4.0 A can be set up in the space between two parallel plates of $6 \mu \mathrm{~F}$ capacitor. The rate of change of potential difference across the plates of the capacitor is nearly $\alpha \times 10^6 \mathrm{~V}...

4Electromagnetic Waves

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The electromagnetic wave exerts pressure on the surface on which they are allowed to fall.
Reason (R) : There is no m...

5Electromagnetic Waves

A magnetic field vector in an electromagnetic wave is represented by $\vec{B}=B_0 \sin \left(2 \pi v t-\frac{2 \pi x}{\lambda}\right) \hat{j}$. Its associated electric field vector is $\_\_\_\_$ .

6Electromagnetic Waves

An electromagnetic wave travelling in x-direction is described by field equation$E_y = 300 \sin \omega \left( t - \frac{x}{c} \right)$.If the electron is restricted to move in y-direction only with speed of $1.5 \times 10^6$ m/s then ratio ...

7Electromagnetic Waves

An 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 p...

8Electromagnetic Waves

The 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 ar...

9Electromagnetic Waves

A plane electromagnetic wave is moving in free space with velocity $c = 3 \times 10^8$ m/s and its electric field is given as $\vec{E}=54\sin(kz - \omega t)\,\hat{j}$ V/m, where $\hat{j}$ is the unit vector along y-axis. The magnetic field ...

10Electromagnetic Waves

\text { Match the LIST-I with LIST-II }

List-I

List-II

A.

Radio-wave

I.

is produced by Magnetron valve

B.

Micro-wave

II.

due to change in the vibrational modes of atoms

C.

Infrared-wave

III.

due to inner shell...

11Electromagnetic Waves

The 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 electromag...

INTEGER+4 / -12026

12Electromagnetic Waves

\(\text { Match List - I with List - II. }\)

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13Electromagnetic Waves

The 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)

14Electromagnetic Waves

The 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{...

INTEGER+4 / -12026

15Electromagnetic Waves

A 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 $\mathr...

16Electromagnetic Waves

The 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 ...

17Electromagnetic Waves

An 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 $\_\_\_\_$.
$$ \...

INTEGER+4 / -12026

18Electromagnetic Waves

The unit of $\sqrt{\frac{2I}{\varepsilon_0 c}}$ is :(I = intensity of an electromagnetic wave, c = speed of light)

19Electromagnetic Waves

Given 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 (R) : Mass of a photon is zero.

In the light of the above...

20Electromagnetic Waves

A 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 are

21Electromagnetic Waves

Due to presence of an em-wave whose electric component is given by $E=100 \sin (\omega t-k x) \mathrm{NC}^{-1}$ a cylinder of length 200 cm holds certain amount of em-energy inside it. If another cylinder of same length but half diameter th...

22Electromagnetic Waves

The magnetic field of an E.M. wave is given by $\vec{B} = \left( \frac{\sqrt{3}}{2} \hat{i} + \frac{1}{2} \hat{j} \right) 30 \sin \left[ \omega \left( t - \frac{z}{c} \right) \right]$ (S.I. Units).The corresponding electric field in S.I. un...

23Electromagnetic Waves

Arrange the following in the ascending order of wavelength $(\lambda)$ :
(A) Microwaves $\left(\lambda_1\right)$
(B) Ultraviolet rays $\left(\lambda_2\right)$
(C) Infrared rays $\left(\lambda_3\right)$
(D) X-rays $\left(\lambda_4\right)$
Ch...

24Electromagnetic Waves

The 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 is

25Electromagnetic Waves

A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance $2.5 \mu \mathrm{~F}$. The dielectric constant of the medium between the capacitor plates is 1 . It produces an instantaneous dis...

INTEGER+4 / -12025

26Electromagnetic Waves

A 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...

27Electromagnetic Waves

A 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...

INTEGER+4 / -12025

28Electromagnetic Waves

A 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 :

29Electromagnetic Waves

The 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 :

30Electromagnetic Waves

Average force exerted on a non-reflecting surface at normal incidence is \(2.4 \times 10^{-4} \mathrm{~N}\). If \(360 \mathrm{~W} / \mathrm{cm}^2\) is the light energy flux during span of 1 hour 30 minutes, Then the area of the surface is:

31Electromagnetic Waves

Electromagnetic 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:

32Electromagnetic Waves

In the given electromagnetic wave \(\mathrm{E}_{\mathrm{y}}=600 \sin (\omega t-\mathrm{kx}) \mathrm{Vm}^{-1}\), intensity of the associated light beam is (in \(\mathrm{W} / \mathrm{m}^2\) : (Given $$\epsilon_0=9 \times 10^{-12} \mathrm{C}^2...

33Electromagnetic Waves

Match List I with List II :

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34Electromagnetic Waves

The 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) :

35Electromagnetic Waves

Arrange 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...

36Electromagnetic Waves

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 : ...

37Electromagnetic Waves

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...

38Electromagnetic 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 :

39Electromagnetic Waves

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

40Electromagnetic Waves

A plane electromagnetic wave propagating in \(\mathrm{x}\)-direction is described by
\(E_y=\left(200 \mathrm{Vm}^{-1}\right) \sin \left[1.5 \times 10^7 t-0.05 x\right] \text {; }\)
The intensity of the wave is :
(Use $$\epsilon_0=8.85 \time...

41Electromagnetic Waves

An object is placed in a medium of refractive index 3 . An electromagnetic wave of intensity \(6 \times 10^8 \mathrm{~W} / \mathrm{m}^2\) falls normally on the object and it is absorbed completely. The radiation pressure on the object would...

42Electromagnetic Waves

If frequency of electromagnetic wave is $60 \mathrm{~MHz}$ 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 (in ...

43Electromagnetic Waves

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 density to average magnetic energy density is

44Electromagnetic Waves

The energy density associated with electric field \(\vec{E}\) and magnetic field \(\vec{B}\) of an electromagnetic wave in free space is given by \(\left(\epsilon_{0}-\right.\) permittivity of free space, \(\mu_{0}-\) permeability of free s...

45Electromagnetic Waves

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 of the medium is \(x: 1\). The value of \(x\) is _________.
(Given speed of light in free s...

INTEGER+4 / -12023

46Electromagnetic Waves

Match List I with List II

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47Electromagnetic Waves

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 curvature of hemisphere is \(10 \mathrm{~cm}\) and the inner surface is completely reflec...

INTEGER+4 / -12023

48Electromagnetic Waves

A point source of $100 \mathrm{~W}$ emits light with $5 \%$ efficiency. At a distance of $5 \mathrm{~m}$ from the source, the intensity produced by the electric field component is:

49Electromagnetic Waves

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 independent of the wavelength of light.
C. The speed of light is independent of the motion of the so...

50Electromagnetic Waves

Given 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 ...