How many questions from Electromagnetic Waves appear in JEE?

Electromagnetic Waves has appeared in 144 of the last 186 JEE Main and JEE Advanced papers — about 77% of them — contributing 208 questions in total across those papers.

Is Electromagnetic Waves an important chapter for JEE?

Judged by how often it is actually tested, it appears in roughly 77% of papers. Chapters above about 50% are effectively guaranteed to show up every session, so they repay thorough preparation; lower-frequency chapters are better treated as targeted revision.

Where do these Electromagnetic Waves questions come from?

Every question is from an official JEE Main or JEE Advanced paper, transcribed from the original paper and tagged to this chapter. Answers follow the official answer key.

Electromagnetic Waves JEE Previous Year Questions with Answers

Q1·PhysicsMultiple correctJEE Advanced 2026

The electric field associated with an electromagnetic wave travelling in vacuum is given by

E_0 \sin(3y + 4z + \omega t)\,\hat{i}

, where

\omega

is the angular frequency. All quantities are in SI units. The correct statement(s) about this wave is/are: [Given: speed of light in vacuum

c = 3 \times 10^8

ms

^{-1}

.]

(A)The wave is travelling in $-\frac{1}{5}(3\hat{j} + 4\hat{k})$ direction.
(B)The magnitude of the wave vector is 0.5 m $^{-1}$ .
(C)The value of $\omega$ is $1.5 \times 10^9$ rad s $^{-1}$ .
(D)The magnetic field associated with this wave is given by $\frac{E_0}{c}\sin(3y + 4z + \omega t)(4\hat{j} - 3\hat{k})$ .

Q2·PhysicsSingle correctJEE Main 2026

A 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 _______.

(A) $\frac{I_o}{4}$
(B) $I_o$
(C) $\frac{I_o}{\sqrt{2}}$
(D) $\frac{I_o}{2}$

Q3·PhysicsSingle correctJEE Main 2026

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 :

(A) $\frac{\vec{E} \times \vec{k}}{\omega}$
(B) $\frac{\vec{k} \times \vec{E}}{\omega}$
(C) $\omega(\vec{E} \times \vec{k})$
(D) $\omega(\vec{k} \times \vec{E})$

Q4·PhysicsSingle correctJEE Main 2026

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 mass associated with the electromagnetic waves. In the light of the above statements, choose the correct answer from the options given below :

(A)Both (A) and (R) are true and (R) is the correct explanation of (A)
(B)Both (A) and (R) are true but (R) is not the correct explanation of (A)
(C)(A) is true but (R) is false
(D)(A) is false but (R) is true

Q5·PhysicsSingle correctJEE Main 2026

A displacement current of 4.0 A can be set up in the space between two parallel plates of 6 μF 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 __________.

(A)0.58
(B)0.67
(C)0.82
(D)0.75

Q6·PhysicsSingle correctJEE Main 2026

A magnetic field vector in an electromagnetic wave is represented by

\vec{B} = B_{0}\sin\left(2\pi vt - \frac{2\pi x}{\lambda}\right)\hat{j}

. Its associated electric field vector is ______.

(A) $\vec{E} = -v\lambda B_{0}\sin\left(2\pi vt - \frac{2\pi x}{\lambda}\right)\hat{k}$
(B) $\vec{E} = -v\lambda B_{0}\sin\left(2\pi vt - \frac{2\pi x}{\lambda}\right)\hat{i}$
(C) $\vec{E} = v\lambda B_{0}\sin\left(2\pi vt - \frac{2\pi x}{\lambda}\right)\hat{k}$
(D) $\vec{E} = v\lambda B_{0}\sin\left(2\pi vt - \frac{2\pi x}{\lambda}\right)\hat{i}$

Q7·PhysicsSingle correctJEE Main 2026

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 point is ______ V/m.

(A) $60\hat{k}$
(B) $-60\hat{k}$
(C) $30\hat{k}$
(D) $-600\hat{k}$

Q8·PhysicsSingle correctJEE Main 2026

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 of maximum electric and magnetic forces acting on the electron is ________.

(A)200
(B)150
(C)400
(D)300

Q9·PhysicsSingle correctJEE Main 2026

The electric field of an electromagnetic wave travelling through a medium is given by

\vec{E}(x,t) = 25\sin(2.0 \times 10^{15} t - 10^{7} x)\hat{n}

then the refractive index of the medium is ______ . (All given measurement are in SI units)

(A)1.2
(B)2
(C)1.5
(D)1.7

Q10·PhysicsSingle correctJEE Main 2026

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 vector

\vec{B}

of the wave is :

(A) $-1.8 \times 10^{-7}\sin(kz - \omega t)\hat{i}$ T
(B) $1.4 \times 10^{-7}\sin(kz - \omega t)\hat{k}$ T
(C) $1.4 \times 10^{-7}\sin(kz - \omega t)\hat{i}$ T
(D) $+1.8 \times 10^{-7}\sin(kz - \omega t)\hat{i}$ T

Q11·PhysicsSingle correctJEE Main 2026

Match the List-I with List-II Choose the correct answer from the options given below:

List-I	List-II
A.Radio-wave	I.is produced by Magnetron value
B.Micro-wave	II.Due to change in the vibrational modes of atoms
C.Infrared-wave	III.Due to inner shell electrons moving from higher energy level to lower energy level
D.X-ray	IV.Due to rapid acceleration of electrons

(A)A-II,B-IV,C-III,D-I
(B)A-IV,B-III,C-I,D-II
(C)A-IV,B-I,C-II,D-III
(D)A-IV,B-II,C-I,D-III

Q12·PhysicsNumericalJEE Main 2026

The equation of the electric field of an electromagnetic wave propagating through free space is given by :

E = \sqrt{377}\ \sin(6.27 \times 10^{3}t - 2.09 \times 10^{-5}x)

N/C he average power of the electromagnetic wave is

\left(\frac{1}{\alpha}\right)

W/m

^2

. The value of

\alpha

is ______

\left(\text{Take } \sqrt{\frac{\mu_0}{\varepsilon_0}} = 377 \text{ in SI units}\right)

Q13·PhysicsSingle correctJEE Main 2026

Match List-I (Relation) with List-II (Law). Choose the correct answer from the options given below :

List-I (Relation)	List-II (Law)
A. $\oint \vec{E} \cdot \vec{dl} = -\frac{d}{dt}\oint \vec{B} \cdot \vec{da}$	I.Ampere's circuital law.
B. $\oint \vec{B} \cdot \vec{dl} = \mu_0\left(1 + \in_0 \frac{d\phi_E}{dt}\right)$	II.Faraday's laws of electromagnetic induction.
C. $\oint \vec{E} \cdot \vec{da} = \frac{1}{\in_0}\int \rho dv$	III.Ampere-Maxwell law
D. $\oint \vec{B} \cdot \vec{dl} = \mu_0 I$	IV.Gauss's law of electrostatics

(A)A-II, B-III, C-I, D-IV
(B)A-II, B-III, C-IV, D-I
(C)A-I, B-IV, C-III, D-II
(D)A-IV, B-I, C-II, D-III

Q14·PhysicsSingle correctJEE Main 2026

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)

(A)36 : 1
(B)3 : 2
(C)6 : 1
(D) $\sqrt{6}$ : 1

Q15·PhysicsNumericalJEE Main 2026

The electric field of a plane electromagnetic wave, travelling in an unknown non-magnetic medium is given by,

E_y = 20 \sin(3 \times 10^{6}x - 4.5 \times 10^{14}t)

V/m (where x, 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}

m/s)

Q16·PhysicsSingle correctJEE Main 2026

If ∈, E and t represent the free space permittivity, electric field and time respectively, then the unit of

\frac{\in E}{t}

will be :

(A)Am
(B)Am $^{2}$
(C)A/m $^{2}$
(D)A/m

Q17·PhysicsSingle correctJEE Main 2026

A laser beam has intensity of

4.0 \times 10^{14}

W/m

^2

. The amplitude of magnetic field associated with beam is __________ T. ( Take

\epsilon_0 = 8.85 \times 10^{-12}

C

^2

/Nm

^2

and c

= 3 \times 10^{8}

m/s)

(A)2.0
(B)18.3
(C)5.5
(D)1.83

Q18·PhysicsNumericalJEE Main 2026

An electromagnetic wave of frequency 100 MHz propagates through a medium of conductivity,

\sigma = 10

mho/m. The ratio of maximum conducting current density to maximum displacement current density is __________.

\left[\text{Take }\dfrac{1}{4\pi\in_0} = 9\times10^9\,\text{Nm}^2/\text{C}^2\right]

Q19·PhysicsSingle correctJEE Main 2026

The electric field a plane electromagnetic wave is given by :

E_{y} = 69 \sin[0.6 \times 10^{3}x - 1.8 \times 10^{11}t]

V/m. The expression for magnetic field associated with this electromagnetic wave is_____T.

(A) $B_{z} = 2.3 \times 10^{-7} \sin[0.6 \times 10^{3}x - 1.8 \times 10^{11}t]$
(B) $B_{z} = 2.3 \times 10^{-7} \sin[0.6 \times 10^{3}x + 1.8 \times 10^{11}t]$
(C) $B_{y} = 69 \sin[0.6 \times 10^{3}x + 1.8 \times 10^{11}t]$
(D) $B_{y} = 2.3 \times 10^{-7} \sin[0.6 \times 10^{3}x - 1.8 \times 10^{11}t]$

Q20·PhysicsNumericalJEE Advanced 2025

A cube of unit volume contains

35\times 10^{7}

photons of frequency

10^{15}

Hz . If the energy of all the photons is viewed as the average energy being contained in the electromagnetic waves within the same volume, then the amplitude of the magnetic field is

\alpha\times 10^{-9}

T. Taking permeability of free space

\mu_{0} = 4\pi\times 10^{-7}

Tm/A, Planck's constant

h = 6\times 10^{-34}

Js and

\pi = \frac{22}{7}

, the value of

\alpha

is____

Q21·PhysicsSingle correctJEE Main 2025

If

\varepsilon_0

denotes the permittivity of free space and

\Phi_E

is the flux of the electric field through the area bounded by the closed surface, then dimension of

\left(\varepsilon_0\dfrac{d\Phi_E}{dt}\right)

are that of:

(A)Electric field
(B)Electric potential
(C)Electric charge
(D)Electric current

Q22·PhysicsSingle correctJEE Main 2025

The unit of

\sqrt{\dfrac{2I}{\epsilon_0\,c}}

is: (

I

= intensity of an electromagnetic wave,

c

= speed of light)

(A)Vm
(B)NC
(C)Nm
(D) $NC^{-1}$

Q23·PhysicsSingle correctJEE Main 2025

The dimension of

\sqrt{\dfrac{\mu_0}{\epsilon_0}}

is equal to that of: (

\mu_0

= vacuum permeability and

\epsilon_0

= vacuum permittivity)

(A)Voltage
(B)Capacitance
(C)Inductance
(D)Resistance

Q24·PhysicsSingle correctJEE Main 2025

A small mirror of mass

m

is suspended by a massless thread of length

l

. Then the small angle through which the thread will be deflected when a short pulse of laser of energy

E

falls normal on the mirror (

c

= speed of light in vacuum and

g

= acceleration due to gravity)

(A) $\theta=\dfrac{3E}{4mc\sqrt{gl}}$
(B) $\theta=\dfrac{E}{mc\sqrt{gl}}$
(C) $\theta=\dfrac{E}{2mc\sqrt{gl}}$
(D) $\theta=\dfrac{2E}{mc\sqrt{gl}}$

Q25·PhysicsIntegerJEE Main 2025

If an optical medium possesses a relative permeability of

\dfrac{10}{\pi}

and relative permittivity of

\dfrac{1}{0.0885}

, then the velocity of light is greater in vacuum than in this medium by ______ times. (

\mu_0=4\pi\times10^{-7}

H/m,

\varepsilon_0=8.85\times10^{-12}

F/m,

c=3\times10^8

m/s)

Q26·PhysicsSingle correctJEE Main 2025

The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2 m away from it, is:

(A) $1.5\times10^{-8}$ Pascals
(B) $0$
(C) $6\times10^{-8}$ Pascals
(D) $3\times10^{-8}$ Pascals

Q27·PhysicsSingle correctJEE Main 2025

If

\mu_0

and

\varepsilon_0

are the permeability and permittivity of free space, respectively, then the dimension of

\left(\dfrac{1}{\mu_0\varepsilon_0}\right)

is:

(A) $L/T^2$
(B) $L^2/T^2$
(C) $T^2/L$
(D) $T^2/L^2$

Q28·PhysicsSingle correctJEE Main 2025

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:

(A) $E_y, B_x$
(B) $E_y, B_z$
(C) $E_x, B_y$
(D) $E_z, B_y$

Q29·PhysicsSingle correctJEE Main 2025

Given below are two statements: one is labelled as Assertion (A) and 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 statements, choose the most appropriate answer from the options given below:

(A)(A) is true but (R) is false.
(B)(A) is false but (R) is true.
(C)Both (A) and (R) are true but (R) is not the correct explanation of (A).
(D)Both (A) and (R) are true and (R) is the correct explanation of (A).

Q30·PhysicsSingle correctJEE Main 2025

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. units is:

(A) $\vec{E}=\left(\frac{1}{2}\hat{i}-\frac{\sqrt{3}}{2}\hat{j}\right)30c\sin\left[\omega\left(t-\frac{z}{c}\right)\right]$
(B) $\vec{E}=\left(\frac{3}{4}\hat{i}+\frac{1}{4}\hat{j}\right)30c\cos\left[\omega\left(t-\frac{z}{c}\right)\right]$
(C) $\vec{E}=\left(\frac{1}{2}\hat{i}+\frac{\sqrt{3}}{2}\hat{j}\right)30c\sin\left[\omega\left(t-\frac{z}{c}\right)\right]$
(D) $\vec{E}=\left(\frac{\sqrt{3}}{2}\hat{i}-\frac{1}{2}\hat{j}\right)30c\sin\left[\omega\left(t+\frac{z}{c}\right)\right]$

Q31·PhysicsSingle correctJEE Main 2025

Due to presence of an em-wave whose electric component is given by

E=100\sin(\omega t-kx)

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 as

(A) $25\sin(\omega t-kx)$ NC $^{-1}$
(B) $200\sin(\omega t-kx)$ NC $^{-1}$
(C) $400\sin(\omega t-kx)$ NC $^{-1}$
(D) $50\sin(\omega t-kx)$ NC $^{-1}$

Q32·PhysicsSingle correctJEE Main 2025

Arrange the following in the ascending order of wavelength

(\lambda)

: (A) Microwaves

(\lambda_1)

(B) Ultraviolet rays

(\lambda_2)

(C) Infrared rays

(\lambda_3)

(D) X-rays

(\lambda_4)

. Choose the most appropriate answer from the options given below :

(A) $\lambda_1<\lambda_3<\lambda_2<\lambda_4$
(B) $\lambda_3<\lambda_4<\lambda_2<\lambda_1$
(C) $\lambda_4<\lambda_2<\lambda_3<\lambda_1$
(D) $\lambda_4<\lambda_3<\lambda_1<\lambda_2$

Q33·PhysicsSingle correctJEE Main 2025

The electric field of an electromagnetic wave in free space is

\vec E=57\cos[7.5\times10^6 t-5\times10^{-3}(3x+4y)](4\hat i-3\hat j)

N/C. The associated magnetic field in Tesla is-

(A) $\vec B=\dfrac{57}{3\times10^8}\cos[7.5\times10^6 t-5\times10^{-3}(3x+4y)](5\hat k)$
(B) $\vec B=\dfrac{57}{3\times10^8}\cos[7.5\times10^6 t-5\times10^{-3}(3x+4y)](\hat k)$
(C) $\vec B=-\dfrac{57}{3\times10^8}\cos[7.5\times10^6 t-5\times10^{-3}(3x+4y)](5\hat k)$
(D) $\vec B=-\dfrac{57}{3\times10^8}\cos[7.5\times10^6 t-5\times10^{-3}(3x+4y)](\hat k)$

Q34·PhysicsIntegerJEE Main 2025

A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance

2.5\ \mu

F. The dielectric constant of the medium between the capacitor plates is 1. It produces an instantaneous displacement current of

0.25

mA in the intervening space between the capacitor plates, the magnitude of the rate of change of the potential difference will be __________

\mathrm{Vs^{-1}}

.

Q35·PhysicsSingle correctJEE Main 2025

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

E_y=9.3\ \mathrm{V\,m^{-1}}

. Then, the magnetic field vector of the wave at that point is :

(A) $B_z=9.3\times10^{-8}$ T
(B) $B_z=1.55\times10^{-8}$ T
(C) $B_z=6.2\times10^{-8}$ T
(D) $B_z=3.1\times10^{-8}$ T

Q36·PhysicsIntegerJEE Main 2025

A parallel plate capacitor of area A = 16 cm

^2

and separation between the plates 10 cm, is charged by a DC current. Consider a hypothetical plane surface of area

A_s=3.2

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

A_s

is ______ mA.

Q37·PhysicsSingle correctJEE Main 2024

The magnetic field in a plane electromagnetic wave is

B_{y}=(3.5\times10^{-7})\sin(1.5\times10^{3}x+0.5\times10^{11}t)

T. The corresponding electric field will be:

(A) $E_{z}=1.17\sin(1.5\times10^{3}x+0.5\times10^{11}t)$ V m $^{-1}$
(B) $E_{z}=105\sin(1.5\times10^{3}x+0.5\times10^{11}t)$ V m $^{-1}$
(C) $E_{z}=1.17\sin(1.5\times10^{3}x+0.5\times10^{11}t)$ nV m $^{-1}$
(D) $E_{z}=10.5\sin(1.5\times10^{3}x+0.5\times10^{11}t)$ nV m $^{-1}$

Q38·PhysicsSingle correctJEE Main 2024

A plane EM wave is propagating along x direction. It has a wavelength of 4 mm. If electric field is in y direction with the maximum magnitude of 60 Vm

^{-1}

, the equation for magnetic field is:

(A) $B_z = 60\sin\left[\dfrac{\pi}{2}\left(x - 3\times10^8 t\right)\right]\hat{k}$ T
(B) $B_z = 2\times10^{-7}\sin\left[\dfrac{\pi}{2}\times10^3\left(x - 3\times10^8 t\right)\right]\hat{k}$ T
(C) $B_x = 60\sin\left[\dfrac{\pi}{2}\left(x - 3\times10^8 t\right)\right]\hat{i}$ T
(D) $B_z = 2\times10^{-7}\sin\left[\dfrac{\pi}{2}\left(x - 3\times10^8 t\right)\right]\hat{k}$ T

Q39·PhysicsSingle correctJEE Main 2024

Average force exerted on a non-reflecting surface at normal incidence is

2.4\times10^{-4}

N. If

360\,W/cm^2

is the light energy flux during span of

1

hour

30

minutes. Then the area of the surface is:

(A) $0.2\,m^2$
(B) $0.02\,m^2$
(C) $20\,m^2$
(D) $0.1\,m^2$

Q40·PhysicsSingle correctJEE Main 2024

In the given electromagnetic wave

E_y = 600 \sin(\omega t - kx)

Vm

^{-1}

, intensity of the associated light beam is (in W/m

^2

); (Given

\epsilon_0 = 9 \times 10^{-12}

C

^2

N

^{-1}

m

^{-2}

)

(A)486
(B)243
(C)729
(D)972

Q41·PhysicsSingle correctJEE Main 2024

Electromagnetic waves travel in a medium with a speed of

1.5\times10^{8}

m s

^{-1}

. The relative permeability of the medium is 2.0. The relative permittivity of the medium will be:

(A) $5$
(B) $1$
(C) $4$
(D) $2$

Q42·PhysicsSingle correctJEE Main 2024

An alternating voltage of amplitude 40 V and frequency 4 kHz is applied directly across a capacitor of

12\ \mu\text{F}

. The maximum displacement current between the plates of the capacitor is nearly:

(A)13 A
(B)8 A
(C)10 A
(D)12 A

Q43·PhysicsSingle correctJEE Main 2024

Match List-I (electromagnetic wave) with List-II (wavelength range). Choose the correct answer from the options given below:

List-I (EM-Wave)	List-II (Wavelength Range)
A.Infra-red	I. $<10^{-3}$ nm
B.Ultraviolet	II.400 nm to 1 nm
C.X-rays	III.1 mm to 700 nm
D.Gamma rays	IV.1 nm to $10^{-3}$ nm

(A)(A)-(II), (B)-(I), (C)-(IV), (D)-(III)
(B)(A)-(III), (B)-(II), (C)-(IV), (D)-(I)
(C)(A)-(IV), (B)-(III), (C)-(II), (D)-(I)
(D)(A)-(I), (B)-(III), (C)-(II), (D)-(IV)

Q44·PhysicsSingle correctJEE Main 2024

The electric field in an electromagnetic wave is given by

\vec E=\hat i\,40\cos\omega\left(t-\dfrac zc\right)\,NC^{-1}

. The magnetic field induction of this wave is (in SI unit):

(A) $\vec B=\hat i\dfrac{40}{c}\cos\omega\left(t-\dfrac zc\right)$
(B) $\vec B=\hat j\,40c\cos\omega\left(t-\dfrac zc\right)$
(C) $\vec B=\hat k\dfrac{40}{c}\cos\omega\left(t-\dfrac zc\right)$
(D) $\vec B=\hat j\dfrac{40}{c}\cos\omega\left(t-\dfrac zc\right)$

Q45·PhysicsSingle correctJEE Main 2024

Arrange the following in the ascending order of wavelength

(\lambda)

: (A) Gamma rays

(\lambda_1)

, (B) X-ray

(\lambda_2)

, (C) Infrared waves

(\lambda_3)

, (D) Microwaves

(\lambda_4)

. Choose the most appropriate answer from the options given below:

(A) $\lambda_4<\lambda_3<\lambda_1<\lambda_2$
(B) $\lambda_4<\lambda_3<\lambda_2<\lambda_1$
(C) $\lambda_1<\lambda_2<\lambda_3<\lambda_4$
(D) $\lambda_2<\lambda_1<\lambda_4<\lambda_3$

Q46·PhysicsSingle correctJEE Main 2024

A parallel plate capacitor has a capacitance

C=200\,pF

. It is connected to

230\,V

ac supply with an angular frequency

300\,rad/s

. The rms value of conduction current in the circuit and displacement current in the capacitor respectively are:

(A) $1.38\,\mu A$ and $13.8\,\mu A$
(B) $14.3\,\mu A$ and $143\,\mu A$
(C) $13.8\,\mu A$ and $138\,\mu A$
(D) $13.8\,\mu A$ and $13.8\,\mu A$

Q47·PhysicsSingle correctJEE Main 2024

If frequency of electromagnetic wave is 60 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 m) is:

(A)2.5
(B)10
(C)5
(D)2

Q48·PhysicsSingle correctJEE Main 2024

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

(A)Statement I is incorrect but Statement II is correct
(B)Both Statement I and Statement II are correct.
(C)Both Statement I and Statement II are incorrect.
(D)Statement I is correct but Statement II is incorrect.

Q49·PhysicsSingle correctJEE Main 2024

In a plane EM wave, the electric field oscillates sinusoidally at a frequency of

5\times10^{10}

Hz and an amplitude of 50 Vm

^{-1}

. The total average energy density of the electromagnetic field of the wave is : [Use

\epsilon_0=8.85\times10^{-12}

C

^2

/Nm

^2

]

(A) $1.106\times10^{-8}$ Jm $^{-3}$
(B) $4.425\times10^{-8}$ Jm $^{-3}$
(C) $2.212\times10^{-8}$ Jm $^{-3}$
(D) $2.212\times10^{-10}$ Jm $^{-3}$

Q50·PhysicsSingle correctJEE Main 2024

Match List I with List II. Choose the correct answer from the options given below:

List-I	List-II
A.Gauss's law of magnetostatics	I. $\oint \vec{E}\cdot d\vec{a}=\dfrac{1}{\varepsilon_0}\int \rho\,dV$
B.Faraday's law of electromagnetic 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. $\oint \vec{B}\cdot d\vec{l}=\mu_0 I$

(A)A-I, B-III, C-IV, D-II
(B)A-III, B-IV, C-I, D-II
(C)A-IV, B-III, C-II, D-I
(D)A-II, B-III, C-IV, D-I

Q51·PhysicsSingle correctJEE Main 2024

If the total energy transferred to a surface in time

t

is

6.48\times10^5

J, then the magnitude of the total momentum delivered to this surface for complete absorption will be:

(A) $2.46\times10^{-3}$ kg m/s
(B) $2.16\times10^{-3}$ kg m/s
(C) $1.58\times10^{-3}$ kg m/s
(D) $4.32\times10^{-3}$ kg m/s

Q52·PhysicsSingle correctJEE Main 2024

The 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

\vec B

will be:

(A) $\vec B=E_0 C\cos(\omega t-kz)\hat j$
(B) $\vec B=\dfrac{E_0}{C}\cos(\omega t-kz)\hat j$
(C) $\vec B=E_0 C\cos(\omega t+kz)\hat j$
(D) $\vec B=\dfrac{E_0}{C}\cos(\omega t+kz)\hat j$

Q53·PhysicsSingle correctJEE Main 2024

A plane electromagnetic wave of frequency 35 MHz travels in free space along the X-direction. At a particular point (in space and time)

\vec{E}=9.6\,\hat{j}

V/m. The value of magnetic field at this point is:

(A) $3.2\times10^{-8}\,\hat{k}$ T
(B) $3.2\times10^{-8}\,\hat{i}$ T
(C) $9.6\,\hat{j}$ T
(D) $9.6\times10^{-8}\,\hat{k}$ T

Q54·PhysicsSingle correctJEE Main 2024

Match List I with List II. Choose the correct answer from the options given below

List I (Equation)	List II (Law)
A. $\oint\vec{B}\cdot\vec{dl}=\mu_0 i_c+\mu_0\epsilon_0\dfrac{d\phi_E}{dt}$	I.Gauss’ law for electricity
B. $\oint\vec{E}\cdot\vec{dl}=\dfrac{d\phi_B}{dt}$	II.Gauss’ law for magnetism
C. $\oint\vec{E}\cdot\vec{dA}=\dfrac{Q}{\epsilon_0}$	III.Faraday law
D. $\oint\vec{B}\cdot\vec{dA}=0$	IV.Ampere – Maxwell law

(A)A-IV, B-I, C-III, D-II
(B)A-II, B-III, C-I, D-IV
(C)A-IV, B-III, C-I, D-II
(D)A-I, B-III, C-III, D-IV

Q55·PhysicsSingle correctJEE Main 2024

A plane electromagnetic wave propagating in x-direction is described by

E_y=(200\,\text{Vm}^{-1})\sin[1.5\times 10^7 t-0.05\,x]

. The intensity of the wave is (Use

\epsilon_0=8.85\times 10^{-12}\,\text{C}^2\text{N}^{-1}\text{m}^{-2}

):

(A) $35.4\,\text{Wm}^{-2}$
(B) $53.1\,\text{Wm}^{-2}$
(C) $26.6\,\text{Wm}^{-2}$
(D) $106.2\,\text{Wm}^{-2}$

Q56·PhysicsSingle correctJEE Main 2024

An object is placed in a medium of refractive index 3. An electromagnetic wave of intensity

6\times10^7

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\times10^8

m/s) :

(A) $36$ Nm $^{-2}$
(B) $18$ Nm $^{-2}$
(C) $6$ Nm $^{-2}$
(D) $2$ Nm $^{-2}$

Q57·PhysicsMultiple correctJEE Advanced 2023

The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by

\vec{E} = 30\left(2\hat{x} + \hat{y}\right)\sin\left[2\pi\left(5\times10^{14}t - \frac{10^{7}}{3}z\right)\right]

V m

^{-1}

. Which of the following option(s) is(are) correct ? [Given: The speed of light in vacuum, c =

3 \times 10^{8}

m s

^{-1}

]

(A) $B_x = -2\times10^{-7}\sin\left[2\pi\left(5\times10^{14}t - \frac{10^{7}}{3}z\right)\right]$ Wb m $^{-2}$ .
(B) $B_y = 2\times10^{-7}\sin\left[2\pi\left(5\times10^{14}t - \frac{10^{7}}{3}z\right)\right]$ Wb m $^{-2}$ .
(C)The wave is polarized in the xy-plane with polarization angle 30 $^{\circ}$ with respect to the x-axis.
(D)The refractive index of the medium is 2.

Q58·PhysicsSingle correctJEE Main 2023

Match List I (Electromagnetic waves) with List II (corresponding wavelength range). List I: (A) Microwave, (B) Ultraviolet, (C) X-Ray, (D) Infra-red. List II: (I) 400 nm to 1 nm, (II) 1 nm to

10^{-3}

nm, (III) 1 mm to 700 nm, (IV) 0.1 m to 1mm. Choose the correct answer from the options given below :

List-I	List-II
A.Microwave	I.400 nm to 1 nm
B.Ultraviolet	II.1 nm to $10^{-3}$ nm
C.X-Ray	IV.0.1 m to 1mm
D.Infra-red	III.1 mm to 700 nm

(A)(A)-(I), (B)-(IV), (C)-(II), (D)-(III)
(B)(A)-(IV), (B)-(I), (C)-(II), (D)-(III)
(C)(A)-(IV), (B)-(II), (C)-(I), (D)-(III)
(D)(A)-(IV), (B)-(I), (C)-(III), (D)-(II)

Q59·PhysicsSingle correctJEE Main 2023

The height of transmitting antenna is 180 m and the height of the receiving antenna is 245 m. The maximum distance between them for satisfactory communication in line of sight will be : (given

R = 6400

km)

(A)48 km
(B)56 km
(C)96 km
(D)104 km

Q60·PhysicsSingle correctJEE Main 2023

The source of time varying magnetic field may be: (A) A permanent magnet (B) An electric field changing linearly with time (C) Direct current (D) A decelerating charge particle (E) An antenna fed with a digital signal Choose the correct answer from the options given below:

(A)(D) only
(B)(C) and (E) only
(C)(A) only
(D)(B) and (D) only

Q61·PhysicsSingle correctJEE Main 2023

Match List I with List II. Choose the correct answer from the options given below:

List I (Layer of atmosphere)	List II (Approximate height over earth's surface)
A. $F_{1}$ Layer	I. $10\,km$
B.D Layer	II. $170-190\,km$
C.Troposphere	III. $100\,km$
D.E Layer	IV. $65-75\,km$

(A)A-III, B-IV, C-I, D-II
(B)A-II, B-IV, C-III, D-I
(C)A-II, B-I, C-IV, D-III
(D)A-II, B-IV, C-I, D-III

Q62·PhysicsSingle correctJEE Main 2023

To radiate EM signal of wavelength

\lambda

with high efficiency, the antennas should have a minimum size equal to:

(A) $\dfrac{\lambda}{2}$
(B) $\dfrac{\lambda}{4}$
(C) $2\lambda$
(D) $4\lambda$

Q63·PhysicsSingle correctJEE Main 2023

In 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:

(A)at 45 $^\circ$ angle from positive y-axis
(B)negative y-axis
(C)positive z-axis
(D)positive y-axis

Q64·PhysicsSingle correctJEE Main 2023

The amplitude of 15 sin(1000

\pi

t) signal is modulated by 10 sin(4

\pi

t) signal. The amplitude modulated signal contains frequencies of 1. 500 Hz 2. 2 Hz 3. 250 Hz 4. 498 Hz 5. 502 Hz. Choose the correct answer from the options given below:

(A)(1) and (3) only
(B)(2) and (4) only
(C)(3) and (2) only
(D)(1), (4) and (5) only

Q65·PhysicsSingle correctJEE Main 2023

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

(A)A is false but R is true
(B)A is true but R is false
(C)Both A and R true but R is NOT the correct explanation of A
(D)Both A and R true and R is the correct explanation of A

Q66·PhysicsSingle correctJEE Main 2023

The electric field in an electromagnetic wave is given as

\vec{E} = 20 \sin \omega \left( t - \dfrac{x}{c} \right) \hat{j} \, \text{NC}^{-1}

. Where

\omega

and

c

are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of

5 \times 10^{-4} \, \text{m}^3

will be (Given

\varepsilon_0 = 8.85 \times 10^{-12} \, \text{C}^2 / \text{Nm}^2

)

(A) $28.5 \times 10^{-13} \, \text{J}$
(B) $17.7 \times 10^{-13} \, \text{J}$
(C) $8.85 \times 10^{-13} \, \text{J}$
(D) $88.5 \times 10^{-13} \, \text{J}$

Q67·PhysicsSingle correctJEE Main 2023

A plane electromagnetic wave of frequency

20

MHz propagates in free space along the x-direction. At a particular space and time,

\vec{E}=6.6\,\hat{j}

V/m. What is

\vec{B}

at this point?

(A) $-2.2\times10^{-8}\,\hat{i}$ T
(B) $2.2\times10^{-8}\,\hat{k}$ T
(C) $-2.2\times10^{-8}\,\hat{k}$ T
(D) $2.2\times10^{-8}\,\hat{i}$ T

Q68·PhysicsSingle correctJEE Main 2023

A transmitting antenna is kept on the surface of the earth. The minimum height of receiving antenna required to receive the signal in line of sight at 4 km distance from it is

x \times 10^{-2}

m. The value of

x

is (Let. radius of earth

R = 6400

km)

(A)125
(B)12.5
(C)1.25
(D)1250

Q69·PhysicsSingle correctJEE Main 2023

In satellite communication, the uplink frequency band used is:

(A) $3.7-4.2$ GHz
(B) $5.925-6.425$ GHz
(C) $76-88$ MHz
(D) $420-890$ MHz

Q70·PhysicsSingle correctJEE Main 2023

A message signal of frequency

3

kHz is used to modulate a carrier signal of frequency

1.5

MHz. The bandwidth of the amplitude modulated wave is:

(A) $3$ kHz
(B) $6$ MHz
(C) $3$ MHz
(D) $6$ kHz

Q71·PhysicsSingle correctJEE Main 2023

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

(A)zero frequency
(B)half the frequency of the wave
(C)double the frequency of the wave
(D)the frequency of the wave

Q72·PhysicsSingle correctJEE Main 2023

A carrier wave of amplitude 15V is modulated by a sinusoidal base band signal of amplitude 3V. The ratio of maximum amplitude to minimum amplitude in an amplitude modulated wave is:

(A)2
(B) $\dfrac32$
(C)5
(D) $\dfrac12$

Q73·PhysicsSingle correctJEE Main 2023

The amplitude of the magnetic field in an electromagnetic wave propagating along the y-axis is

6.0\times10^{-7}

T. The maximum value of the electric field in the electromagnetic wave is:

(A) $5\times10^{14}$ Vm $^{-1}$
(B) $180$ Vm $^{-1}$
(C) $2\times10^{15}$ Vm $^{-1}$
(D) $6.0\times10^{-7}$ Vm $^{-1}$

Q74·PhysicsSingle correctJEE Main 2023

The waves emitted when a metal target is bombarded with high energy electrons are

(A)Microwaves
(B)X-rays
(C)Infrared rays
(D)Radio Waves

Q75·PhysicsSingle correctJEE Main 2023

A TV transmitting antenna is

98

m high and the receiving antenna is at the ground level. If the radius of the earth is

6400

km, the surface area covered by the transmitting antenna is approximately:

(A) $1240$ km $^{2}$
(B) $3942$ km $^{2}$
(C) $4868$ km $^{2}$
(D) $1549$ km $^{2}$

Q76·PhysicsSingle correctJEE Main 2023

The power radiated from a linear antenna of length

l

is proportional to (Given

\lambda=

wavelength of wave):

(A) $\dfrac{l}{\lambda}$
(B) $\dfrac{l}{\lambda^{2}}$
(C) $\dfrac{l^{2}}{\lambda}$
(D) $\left(\dfrac{l}{\lambda}\right)^{2}$

Q77·PhysicsSingle correctJEE Main 2023

By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by

21\%

?

(A) $14\%$
(B) $12\%$
(C) $10\%$
(D) $15\%$

Q78·PhysicsSingle correctJEE Main 2023

For an amplitude modulated wave the minimum amplitude is 3 V, while the modulation index is 60%. The maximum amplitude of the modulated wave is:

(A) $15\,V$
(B) $12\,V$
(C) $10\,V$
(D) $5\,V$

Q79·PhysicsSingle correctJEE Main 2023

The energy density associated with electric field

\vec{E}

and magnetic field

\vec{B}

of an electromagnetic wave in free space is given by (

\varepsilon_0

- permittivity of free space,

\mu_0

- permeability of free space)

(A) $U_E=\dfrac{E^2}{2\,\varepsilon_0},\ U_B=\dfrac{B^2}{2\mu_0}$
(B) $U_E=\dfrac{E^2}{2\,\varepsilon_0},\ U_B=\dfrac{\mu_0 B^2}{2}$
(C) $U_E=\dfrac{\varepsilon_0 E^2}{2},\ U_B=\dfrac{\mu_0 B^2}{2}$
(D) $U_E=\dfrac{\varepsilon_0 E^2}{2},\ U_B=\dfrac{B^2}{2\mu_0}$

Q80·PhysicsSingle correctJEE Main 2023

For the plane electromagnetic wave given by

E=E_0\sin(\omega t-kx)

and

B=B_0\sin(\omega t-kx)

, the ratio of average electric energy density to average magnetic energy density is:

(A) $1$
(B) $\dfrac12$
(C) $2$
(D) $4$

Q81·PhysicsSingle correctJEE Main 2023

In an amplitude modulation, a modulating signal having amplitude of X V is superimposed with a carrier signal of amplitude Y V in first case. Then, in second case, the same modulating signal is superimposed with different carrier signal of amplitude 2Y V. The ratio of modulation index in the two cases respectively will be:

(A) $2:1$
(B) $1:2$
(C) $4:1$
(D) $1:1$

Q82·PhysicsSingle correctJEE Main 2023

Which of the following frequencies does not belong to FM broadcast?

(A) $64$ MHz
(B) $89$ MHz
(C) $99$ MHz
(D) $106$ MHz

Q83·PhysicsSingle correctJEE Main 2023

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

(A) $3$
(B) $\dfrac12$
(C) $1$
(D) $2$

Q84·PhysicsSingle correctJEE Main 2023

Match List I (regions of the electromagnetic spectrum) with List II (their sources). Choose the correct answer from the options given below:

List I	List II
A.Microwaves	I.Radio active 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

(A)A-I, B-III, C-IV, D-II
(B)A-IV, B-I, C-II, D-III
(C)A-IV, B-III, C-II, D-I
(D)A-I, B-II, C-III, D-IV

Q85·PhysicsSingle correctJEE Main 2023

Match List I (electromagnetic radiations) with List II (applications). Choose the correct answer from the options given below:

List I	List II
A.Microwaves	I.Physiotherapy
B.UV rays	II.Treatment of cancer
C.Infra-red light	III.Lasik eye surgery
D.X-ray	IV.Aircraft navigation

(A)A-IV, B-III, C-I, D-II
(B)A-IV, B-I, C-III, D-II
(C)A-III, B-II, C-I, D-IV
(D)A-II, B-IV, C-III, D-I

Q86·PhysicsSingle correctJEE Main 2023

The amplitude of

15\sin(1000\pi t)

is modulated by

10\sin(4\pi t)

signal. The amplitude modulated signal contains frequency (ies) of A.

500

Hz B.

2

Hz C.

250

Hz D.

498

Hz E.

502

Hz Choose the correct answer from the options given below:

(A)A Only
(B)B Only
(C)A and B Only
(D)A, D and E Only

Q87·PhysicsSingle correctJEE Main 2023

Given below are two statements: Statement I: For transmitting a signal, size of antenna

(l)

should be comparable to wavelength of signal (at least

l=\dfrac{\lambda}{4}

in dimension). Statement II: In amplitude modulation, amplitude of carrier wave remains constant (unchanged). In the light of the above statements, choose the most appropriate answer from the options given below.

(A)Statement I is correct but Statement II is incorrect
(B)Both Statement I and Statement II are correct
(C)Statement I is incorrect but Statement II is correct
(D)Both Statement I and Statement II are incorrect

Q88·PhysicsSingle correctJEE Main 2023

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

(A) $\dfrac{1}{2\pi}\ \dfrac{W}{m^2}$
(B) $\dfrac{1}{20\pi}\ \dfrac{W}{m^2}$
(C) $\dfrac{1}{10\pi}\ \dfrac{W}{m^2}$
(D) $\dfrac{1}{40\pi}\ \dfrac{W}{m^2}$

Q89·PhysicsSingle correctJEE Main 2023

A sinusoidal carrier voltage is amplitude modulated. The resultant amplitude modulated wave has maximum and minimum amplitude of

120

V and

80

V respectively. The amplitude of each sideband is:

(A) $20$ V
(B) $15$ V
(C) $10$ V
(D) $5$ V

Q90·PhysicsSingle correctJEE Main 2023

Match List-I (communication-system terms) with List-II (their descriptions). Choose the correct answer from the options given below:

List-I	List-II
A.Attenuation	I.Combination of a receiver and transmitter
B.Transducer	II.Process of retrieval of information from the carrier wave at receiver
C.Demodulation	III.Converts one form of energy into another
D.Repeater	IV.Loss of strength of a signal while propagating through a medium

(A)A-IV, B-III, C-I, D-II
(B)A-I, B-II, C-III, D-IV
(C)A-IV, B-III, C-II, D-I
(D)A-II, B-III, C-IV, D-I

Q91·PhysicsSingle correctJEE Main 2023

If the height of transmitting and receiving antennas are 80 m each, the maximum line of sight distance will be: (Given: Earth's radius =

6.4 \times 10^6

m)

(A)28 km
(B)36 km
(C)32 km
(D)64 km

Q92·PhysicsSingle correctJEE Main 2023

The modulation index for an A.M. wave having maximum and minimum peak-to-peak voltages of

14\,mV

and

6\,mV

respectively is:

(A) $0.4$
(B) $0.6$
(C) $0.2$
(D) $1.4$

Q93·PhysicsSingle correctJEE Main 2023

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 as

E_0=\sqrt{\dfrac{\mu_0}{\varepsilon_0}}B_0

. In the light of the above statements, choose the correct answer from the options given below:

(A)Statement I is true but statement II is false
(B)Both Statement I and Statement II are false
(C)Statement I is false but Statement II is true
(D)Both Statement I and Statement II are true

Q94·PhysicsSingle correctJEE Main 2023

Match List I (layers of the atmosphere / ionosphere) with List II (their approximate heights over Earth's surface) and choose the correct answer.

List-I	List-II
A.Troposphere	I.Approximate $65 - 75$ km over Earth's surface
B.E- Part of Stratosphere	II.Approximate $300$ km over Earth's surface
C.F2- Part of Thermosphere	IV.Approximate $100$ km over Earth's surface
D.D- Part of Stratosphere	III.Approximate $10$ km over Earth's surface

(A)A-III, B-IV, C-II, D-I
(B)A-III, B-II, C-I, D-IV
(C)A-I, B-IV, C-III, D-II
(D)A-I, B-II, C-IV, D-III

Q95·PhysicsSingle correctJEE Main 2023

Match List I (fundamental laws of electromagnetism) with List II (their integral form expressions) and choose the correct answer.

List-I	List-II
A.Gauss's Law in Electrostatics	I. $\oint \vec{E}\cdot d\vec{l} = -\frac{d\phi_B}{dt}$
B.Faraday's Law	II. $\oint \vec{B}\cdot d\vec{A} = 0$
C.Gauss's Law in Magnetism	IV. $\oint \vec{E}\cdot d\vec{s} = \frac{q}{\epsilon_0}$
D.Ampere-Maxwell Law	III. $\oint \vec{B}\cdot d\vec{l} = \mu_0 i_c + \mu_0 \epsilon_0 \frac{d\phi_E}{dt}$

(A)A-IV, B-I, C-II, D-III
(B)A-II, B-III, C-IV, D-I
(C)A-III, B-IV, C-I, D-II
(D)A-I, B-II, C-III, D-IV

Q96·PhysicsSingle correctJEE Main 2023

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 magnetic field of the wave at the point and instant?

(A)Negative direction of $y$
(B)Positive direction of $z$
(C)Positive direction of $x$
(D)Negative direction of $x$

Q97·PhysicsSingle correctJEE Main 2023

A message signal of frequency 5 kHz is used to modulate a carrier signal of frequency 2 MHz. The bandwidth for amplitude modulation is:

(A) $20$ kHz
(B) $5$ kHz
(C) $10$ kHz
(D) $2.5$ kHz

Q98·PhysicsSingle correctJEE Main 2023

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by

E_x=E_0\sin(kz-\omega t)

and

B_y=B_0\sin(kz-\omega t)

. Then the correct relation between

E_0

and

B_0

is given by

(A) $E_0 B_0=\omega k$
(B) $E_0 B_0=\dfrac{\omega}{k}$
(C) $kE_0=\omega B_0$
(D) $\omega E_0=kB_0$

Q99·PhysicsSingle correctJEE Main 2023

If

\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):

(A) $\omega(\vec{E}\times\vec{K})$
(B) $\omega(\vec{K}\times\vec{E})$
(C) $\vec{K}\times\vec{E}$
(D) $\tfrac{1}{\omega}(\vec{K}\times\vec{E})$

Q100·PhysicsSingle correctJEE Main 2023

A modulating signal is a square wave, as shown in the figure. If the carrier wave is given as

c(t)=2\sin(8\pi t)

volts, the modulation index is:

(A) $\tfrac{1}{4}$
(B) $\tfrac{1}{2}$
(C) $1$
(D) $\tfrac{1}{3}$

Q101·PhysicsSingle correctJEE Main 2023

Match List I (broadcast / communication service) with List II (frequency band). Choose the correct answer from the options given below:

List I	List II
A.AM Broadcast	I.88–108 MHz
B.FM Broadcast	II.540–1600 kHz
C.Television	III.3.7–4.2 GHz
D.Satellite Communication	IV.54 MHz–890 MHz

(A)A-II, B-I, C-IV, D-III
(B)A-I, B-III, C-II, D-IV
(C)A-IV, B-III, C-I, D-II
(D)A-III, B-III, C-I, D-IV

Q102·PhysicsSingle correctJEE Main 2022

Find the modulation index of an AM wave having 8 V variation where maximum amplitude of the AM wave is 9 V.

(A)0.8
(B)0.5
(C)0.2
(D)0.1

Q103·PhysicsSingle correctJEE Main 2022

Match List – I with List – II Choose the correct answer from the options given below :

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

(A)(a)–(iii), (b)-(ii), (c)-(i), (d)-(iv)
(B)(a)–(ii), (b)-(i), (c)-(iii), (d)-(iv)
(C)(a)–(ii), (b)-(iv), (c)-(iii), (d)-(i)
(D)(a)–(iii), (b)-(i), (c)-(ii), (d)-(iv)

Q104·PhysicsNumericalJEE Main 2022

A modulating signal

2\sin(6.28 \times 10^{6})t

is added to the carrier signal

4\sin(12.56 \times 10^{9})t

for amplitude modulation. The combined signal is passed through a non-linear square law device. The output is then passed through a band pass filter. The bandwidth of the output signal of band pass filter will be___MHz.

Q105·PhysicsNumericalJEE Main 2022

Nearly 10% of the power of a 110 W light bulb is converted to visible radiation. The change in average intensities of visible radiation, at a distance of 1 m from the bulb to a distance of 5 m is

a \times 10^{-2}

W/m

^2

. The value of 'a' will be

Q106·PhysicsSingle correctJEE Main 2022

Sun light falls normally on a surface of area 36

cm^2

and exerts an average force of

7.2\times10^{-9}

N within a time period of 20 minutes. Considering a case of complete absorption, the energy flux of incident light is

(A) $25.92\times10^{2}$ $W/cm^2$
(B) $8.64\times10^{-6}$ $W/cm^2$
(C)6.0 $W/cm^2$
(D)0.06 $W/cm^2$

Q107·PhysicsSingle correctJEE Main 2022

A FM Broad cast transmitter, using modulating signal of frequency 20 kHz has a deviation ratio of 10. The Bandwidth required for transmission is :

(A)220 kHz
(B)180 kHz
(C)360 kHz
(D)440 kHz

Q108·PhysicsSingle correctJEE Main 2022

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 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:

(A)D only
(B)B and D only
(C)B, C and E only
(D)A, B and E only

Q109·PhysicsSingle correctJEE Main 2022

At a particular station, the TV transmission tower has a height of 100 m. To triple its coverage range, height of the tower should be increased to

(A)200 m
(B)300 m
(C)600 m
(D)900 m

Q110·PhysicsSingle correctJEE Main 2022

A beam of light travelling along X-axis is described by the electric field E

_{y}

= 900 sin

\omega

(t–x/c). The ratio of electric force to magnetic force on a charge q moving along Y-axis with a speed of 3 × 10

^{7}

ms

^{-1}

will be : [Given speed of light = 3 × 10

^{8}

ms

^{-1}

]

(A)1 : 1
(B)1 : 10
(C)10 : 1
(D)1 : 2

Q111·PhysicsSingle correctJEE Main 2022

The 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 be

(A)6Vm $^{-1}$ along x-axis
(B)3Vm $^{-1}$ along z-axis
(C)6Vm $^{-1}$ along z-axis
(D) $2 \times 10^{-8}$ Vm $^{-1}$ along z-axis

Q112·PhysicsSingle correctJEE Main 2022

The maximum and minimum voltage of an amplitude modulated signal are 60 V and 20 V respectively. The percentage modulation index will be :

(A)0.5%
(B)50%
(C)2%
(D)30%

Q113·PhysicsSingle correctJEE Main 2022

A radio can tune to any station in 6 MHz to 10 MHz band. The value of corresponding wavelength bandwidth will be :

(A)4 m
(B)20 m
(C)30 m
(D)50 m

Q114·PhysicsSingle correctJEE Main 2022

The oscillating magnetic field in a plane electromagnetic wave is given by

B_y = 5 \times 10^{-6}

sin

1000\pi

(5x - 4 \times 10^{8}\,t)

T. The amplitude of electric field will be :

(A) $15 \times 10^{2}\ \text{Vm}^{-1}$
(B) $5 \times 10^{-6}\ \text{Vm}^{-1}$
(C) $16 \times 10^{12}\ \text{Vm}^{-1}$
(D) $4 \times 10^{2}\ \text{Vm}^{-1}$

Q115·PhysicsNumericalJEE Main 2022

The required height of a TV tower which can cover the population of 6.03 lakh is h. If the average population density is 100 per square km and the radius of earth is 6400 km, then the value of h will be _______ m.

Q116·PhysicsNumericalJEE Main 2022

The intensity of the light from a bulb incident on a surface is 0.22 W/m

^2

. 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} \mathrm{C}^2\mathrm{N}^{-1}\mathrm{m}^{-2}

, speed of light in vacuum c =

3 \times 10^8

ms

^{-1}

)

Q117·PhysicsNumericalJEE Main 2022

The displacement current of 4.425 μA is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of

10^6

Vs

^{-1}

. The area of each plate of the capacitor is 40 cm

^2

. The distance between each plate of the capacitor is x

\times 10^{-3}

m. The value of x is, (Permittivity of free space,

E_0 = 8.85 \times 10^{-12}

C

^2

N

^{-1}

m

^{-2}

)

Q118·PhysicsSingle correctJEE Main 2022

Only 2% of the optical source frequency is the available channel bandwidth for an optical communicating system operating at 1000 nm. If an audio signal requires a bandwidth of 8 kHz, how many channels can be accommodated for transmission :

(A) $375 \times 10^7$
(B) $75 \times 10^7$
(C) $375 \times 10^8$
(D) $75 \times 10^9$

Q119·PhysicsSingle correctJEE Main 2022

The TV transmission tower at a particular station has a height of 125 m. For dubling the coverage of its range, the height of the tower should be increased by :

(A)125 m
(B)250 m
(C)375
(D)500 m

Q120·PhysicsSingle correctJEE Main 2022

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 vacuum :

(A) $E_y = 60\sin\left[\frac{\pi}{4}\times10^3\left(x - 3\times10^8 t\right)\right]\hat{j}\,Vm^{-1}$ $B_z = 2\sin\left[\frac{\pi}{4}\times10^3\left(x - 3\times10^8 t\right)\right]\hat{k}\,T$
(B) $E_y = 60\sin\left[\frac{\pi}{4}\times10^3\left(x - 3\times10^8 t\right)\right]\hat{j}\,Vm^{-1}$ $B_z = 2\times10^{-7}\sin\left[\frac{\pi}{4}\times10^3\left(x - 3\times10^8 t\right)\right]\hat{k}\,T$
(C) $E_y = 2\times10^{-7}\sin\left[\frac{\pi}{4}\times10^3\left(x - 3\times10^8 t\right)\right]\hat{j}\,Vm^{-1}$ $B_z = 60\sin\left[\frac{\pi}{4}\times10^3\left(x - 3\times10^8 t\right)\right]\hat{k}\,T$
(D) $E_y = 2\times10^{-7}\sin\left[\frac{\pi}{4}\times10^4\left(x - 4\times10^8 t\right)\right]\hat{j}\,Vm^{-1}$ $B_z = 60\sin\left[\frac{\pi}{4}\times10^4\left(x - 4\times10^8 t\right)\right]\hat{k}\,T$

Q121·PhysicsSingle correctJEE Main 2022

Match List-I with List-II List-I (A) Television signal (B) Radio signal (C) High Quality Music (D) Human speech List-II (I) 03 KHz (II) 20 KHz (III) 02 MHz (IV) 06 MHz Choose the correct answer from the options given below :

(A)A-I, B-II, C-III, D-IV
(B)A-IV, B-III, C-I, D-II
(C)A-IV, B-III, C-II, D-I
(D)A-I, B-II, C-IV, D-III

Q122·PhysicsSingle correctJEE Main 2022

A radar sends an electromagnetic signal of electric field

(E_{0})

= 2.25 V/m and magnetic field

(B_{0})

=

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 pail of signal (echo) reflects back towards the radar vit1i same velocity and by same path. If the signal was transmitted at time

t_{0}

from radar. then after how much time echo will reach to the radar?

(A) $2.0\times10^{-5}$ s
(B) $4.0\times10^{-5}$ s
(C) $1.0\times10^{-5}$ s
(D) $8.0\times10^{-5}$ s

Q123·PhysicsSingle correctJEE Main 2022

Amplitude modulated wave is represented by

V_{AM} = 10\left[1 + 0.4\cos\left(2\pi\times10^{4}t\right)\right]\cos\left(2\pi\times10^{7}t\right)

. The total bandwidth of the amplitude modulated wave is :

(A)10 kHz
(B)20 MHz
(C)20 kHz
(D)10 MHz

Q124·PhysicsSingle correctJEE Main 2022

We do not transmit low frequency signal to long distances because (a) The size of the antenna should be comparable to signal wavelength which is unreal solution for a signal of longer wavelength. (b) Effective power radiated by a long wavelength baseband signal would be high. (c) We want to avoid mixing up signals transmitted by different transmitter simultaneously. (d) Low frequency signal can be sent to long distances by superimposing with a high frequency wave as well. Therefore, the most suitable options will be :

(A)All statements are true
(B)(a), (b) and (c) are true only
(C)(a), (c) and (d) are true only
(D)(b), (c) and (d) are true only

Q125·PhysicsSingle correctJEE Main 2022

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 EM wave travels with speed

v = \dfrac{1}{\sqrt{\mu_{0}\varepsilon_{0}}}

. In the light of the above statements, choose the correct answer from the options given below:

(A)Both statement I and statement II are true.
(B)Both statement I and statement II are false.
(C)Statement I is correct but statement II is false.
(D)Statement I is incorrect but statement II is true.

Q126·PhysicsSingle correctJEE Main 2022

Mach List-I with List – II : Choose the correct answer from the options given below :

List-I	List-Ii
a.Ultraviolet rays	i.Study crystal structure
b.Microwaves	ii.Greenhouse effect
c.Infrared waves	iii.Sterilizing surgical instrument
d.X-rays	iv.Radar system

(A)(a) – (iii), (b) – (iv), (c) – (ii), (d) – (i)
(B)(a) – (iii), (b) – (i), (c) – (ii), (d) – (iv)
(C)(a) – (iv), (b) – (iii), (c) – (ii), (d) – (i)
(D)(a) – (iii), (b) – (iv), (c) – (i), (d) – (ii)

Q127·PhysicsNumericalJEE Main 2022

The height of a transmitting antenna at the top of a tower is 25 m and that of receiving antenna is, 49 m. The maximum distance between them, for satisfactory communication in LOS (Line-Of-Sight) is

K\sqrt{5} \times 10^{2} m

. The value of K is _______ . [Assume radius of Earth is

64 \times 10^{+5} m

] (Calculate upto nearest integer value)

Q128·PhysicsSingle correctJEE Main 2022

If electric field intensity of a uniform plane electro magnetic wave is given as

E = -301.6\ \sin(kz - \omega t)\hat{a}_{x} + 452.4\ \sin(kz - \omega t)\hat{a}_{y}\ \frac{V}{m}

Then, magnetic intensity H of this wave in

Am^{-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}\ NA^{-2}

]

(A) $+0.8\sin(kz - \omega t)\hat{a}_{y} + 0.8\sin(kz - \omega t)\hat{a}_{x}$
(B) $+1.0 \times 10^{-6}\sin(kz - \omega t)\hat{a}_{y} + 1.5 \times 10^{-6}(kz - \omega t)\hat{a}_{x}$
(C) $-0.8\sin(kz - \omega t)\hat{a}_{y} - 1.2\sin(kz - \omega t)\hat{a}_{x}$
(D) $-1.0 \times 10^{-6}\sin(kz - \omega t)\hat{a}_{y} - 1.5 \times 10^{-6}\sin(kz - \omega t)\hat{a}_{x}$

Q129·PhysicsSingle correctJEE Main 2022

In free space, an electromagnetic wave of 3 GHz of 3 GHz frequency strikes over the edge of an object of size

\frac{\lambda}{100}

, where

\lambda

is the wavelength of the wave in free space. The phenomenon, which happens there will be:

(A)Reflection
(B)Refraction
(C)Diffraction
(D)Scattering

Q130·PhysicsSingle correctJEE Main 2022

Choose the correct statement for amplitude modulation:

(A)Amplitude of modulating is varied in accordance with the information signal.
(B)Amplitude of modulated is varied in accordance with the information signal.
(C)Amplitude of carrier signal is varied in accordance with the information signal.
(D)Amplitude of modulated is varied in accordance with the modulating signal.

Q131·PhysicsSingle correctJEE Main 2022

Which is the correct ascending order of wavelengths?

(A) $\lambda_{visible} < \lambda_{X-ray} < \lambda_{gamma-ray} < \lambda_{microwave}$
(B) $\lambda_{gamma-ray} < \lambda_{X-ray} < \lambda_{visible} < \lambda_{microwave}$
(C) $\lambda_{X-ray} < \lambda_{gamma-ray} < \lambda_{visible} < \lambda_{microwave}$
(D) $\lambda_{microwave} < \lambda_{visible} < \lambda_{gamma-ray} < \lambda_{X-ray}$

Q132·PhysicsSingle correctJEE Main 2022

A sinusoidal wave y(t) = 40sin(10 x

10^{6}

πt) is amplitude modulated by another sinusoidal wave x(t) = 20sin (1000πt). The amplitude of minimum frequency component of modulated signal is :

(A)0.5
(B)0.25
(C)20
(D)10

Q133·PhysicsSingle correctJEE Main 2022

The electromagnetic waves travel in a medium at a speed of

2.0 \times 10^8

m/s.The relative permeability of the medium is 1.0. The relative permittivity of the medium will be:

(A)2.25
(B)4.25
(C)6.25
(D)8.25

Q134·PhysicsSingle correctJEE Main 2022

Match List I with List II. Choose the correct answer from the following options :

List - I	List - II
A.Facsimile	I.Static Document Image
B.Guided media Channel	II.Local Broadcast Radio
C.Frequency Modulation	III.Rectangular wave
D.Digital Signal	IV.Optical Fiber

(A)A –IV, B-III, C-II, D-I
(B)A-I, B-IV, C-II, D-III
(C)A –IV, B-II, C-III, D-I
(D)A-I, B-II, C-III, D-IV

Q135·PhysicsSingle correctJEE Main 2022

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\times10^{-12}C^2N^{-1}m^{-2}

)

(A)5.65 $Wm^{-2}$
(B)4.24 $Wm^{-2}$
(C) $1.9\times10^{-7}$ $Wm^{-2}$
(D)56.5 $Wm^{-2}$

Q136·PhysicsSingle correctJEE Main 2022

A signal of 100 THz frequency can be transmitted with maximum efficiency by :

(A)Coaxial cable
(B)Optical fibre
(C)Twisted pair of copper wires
(D)Water

Q137·PhysicsSingle correctJEE Main 2022

A baseband signal of 3.5 MHz frequency is modulated with a carrier signal of 3.5 GHz frequency using amplitude modulation method. What should be the minimum size of antenna required to transmit the modulated signal ?

(A)42.8 m
(B)42.8 mm
(C)21.4 mm
(D)21.4 m

Q138·PhysicsSingle correctJEE Main 2022

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.

(A) $1.19 \times 10^{-8}$ T
(B) $1.71 \times 10^{-8}$ T
(C) $0.84 \times 10^{-8}$ T
(D) $3.36 \times 10^{-8}$ T

Q139·PhysicsNumericalJEE Main 2022

An antenna is placed in a dielectric medium of dielectric constant 6.25. If the maximum size of that antenna is 5.0 mm. it can radiate a signal of minimum frequency of ______GHz. (Given

\mu_{r} = 1

for dielectric medium)

Q140·PhysicsSingle correctJEE Main 2022

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\times10^{-2}

Am

^{-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\times10^{-7}

NA

^{-2}

, speed of light in vacuum

c=3\times10^{8}

ms

^{-1}

)

(A)16.96 Vm $^{-1}$
(B) $2.25\times10^{-2}$ Vm $^{-1}$
(C)8.48 Vm $^{-1}$
(D) $6.75\times10^{6}$ Vm $^{-1}$

Q141·PhysicsNumericalJEE Main 2021

A carrier wave with amplitude of 250 V is amplitude modulated by a sinusoidal base band signal of amplitude 150 V. The ratio of minimum amplitude to maximum amplitude for the amplitude modulated wave is 50 : x, then value of x is ..........

Q142·PhysicsSingle correctJEE Main 2021

Electric field of plane electromagnetic wave propagating through a non–magnetic medium is given by E = 20cos(2 × 10

^{10}

t–200x) V/m. The dielectric constant of the medium is equal to : (Take μ

_{r}

= 1)

(A)9
(B)2
(C) $\frac{1}{3}$
(D)3

Q143·PhysicsNumericalJEE Main 2021

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 ______ cm

^{3}

.

\left(\text{given } \in_0 = 8.8\times10^{-12}\ \text{C}^2\text{N}^{-1}\text{m}^{-2}\right)

Q144·PhysicsNumericalJEE Main 2021

If the sum of the heights of transmitting and receiving antennas in the line of sight of communication is fixed at 160 m, then the maximum range of LOS communication is _ km. (Take radius of Earth = 6400 km)

Q145·PhysicsNumericalJEE Main 2021

A bandwidth of 6 MHz is available for A.M. transmission. If the maximum audio signal frequency used for modulating the carrier wave is not to exceed 6 kHz. The number of stations that can be broadcasted within this band simultaneously without interfering with each other will be______.

Q146·PhysicsSingle correctJEE Main 2021

The magnetic field vector of an electromagnetic wave is given by

B = B_o \frac{\hat{i} + \hat{j}}{\sqrt{2}} \cos(kz - \omega t)

; where

\hat{i}, \hat{j}

represents unit vector along x and y-axis respectively. At

t = 0

s, two electric charges

q_1

of

4\pi

coulomb and

q_2

of

2\pi

coulomb located at

\left(0, 0, \frac{\pi}{k}\right)

and

\left(0, 0, \frac{3\pi}{k}\right)

, respectively, have the same velocity of

0.5\, c\, \hat{i}

, (where c is the velocity of light). The ratio of the force acting on charge

q_1

to

q_2

is :-

(A) $2\sqrt{2} : 1$
(B) $1 : \sqrt{2}$
(C) $2 : 1$
(D) $\sqrt{2} : 1$

Q147·PhysicsSingle correctJEE Main 2021

An antenna is mounted on a 400 m tall building. What will be the wavelength of signal of signal that can be radiated effectively by the transmission tower upto a range of 44 km?

(A)37.8 m
(B)605 m
(C)75.6 m
(D)302 m

Q148·PhysicsNumericalJEE Main 2021

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 × 10

^{-8}

T. The value of x is _____ .

Q149·PhysicsNumericalJEE Main 2021

A transmitting antenna has a height of 320 m and that of receiving antenna is 2000 m. The maximum distance between them for satisfactory communication in line of sight mode is 'd'. The value of 'd' is ........ km.

Q150·PhysicsSingle correctJEE Main 2021

Electric field in a plane electromagnetic wave is given by

E = 50 \sin(500x - 10 \times 10^{10}t)

V/m The velocity of electromagnetic wave in this medium is : (Given C = speed of light in vacuum)

(A) $\frac{3}{2}C$
(B) $C$
(C) $\frac{2}{3}C$
(D) $\frac{C}{2}$

Q151·PhysicsSingle correctJEE Main 2021

A transmitting antenna at top of a tower has a height of 50 m and the height of receiving antenna is 80 m. What is range of communication for Line of Sight (LoS) mode ? [use radius of earth = 6400 km]

(A)45.5 km
(B)80.2 km
(C)144.1 km
(D)57.28 km

Q152·PhysicsSingle correctJEE Main 2021

A light beam is described by

E = 800\ \sin\omega\left(t - \frac{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 ?

(A) $1.28 \times 10^{-18}$ N
(B) $1.28 \times 10^{-21}$ N
(C) $12.8 \times 10^{-17}$ N
(D) $12.8 \times 10^{-18}$ N

Q153·PhysicsNumericalJEE Main 2021

An amplitude modulated wave is represented by

C_m(t) = 10(1 + 0.2\cos 12560t)\sin(111\times 10^{4}t)

volts. The modulating frequency in kHz will be ....... .

Q154·PhysicsNumericalJEE Main 2021

The electric field in a plane electromagnetic wave is given by

\vec{E} = 200\cos\left[\left(\dfrac{0.5\times 10^{3}}{\mathrm{m}}\right)x - \left(1.5\times 10^{11}\dfrac{\mathrm{rad}}{\mathrm{s}}\times t\right)\right]\dfrac{\mathrm{V}}{\mathrm{m}}\ \hat{j}

If this wave falls normally on a perfectly reflecting surface having an area of

100\ \mathrm{cm^2}

. If the radiation pressure exerted by the E.M. wave on the surface during a 10 minute exposure is

\dfrac{x}{10^{9}}\dfrac{\mathrm{N}}{\mathrm{m^2}}

. Find the value of x.

Q155·PhysicsSingle correctJEE Main 2021

The relative permittivity of distilled water is 81. The velocity of light in it will be : (Given

\mu_r

= 1)

(A) $4.33 \times 10^{7}$ m /s
(B) $2.33 \times 10^{7}$ m /s
(C) $5.33 \times 10^{7}$ m /s
(D) $3.33 \times 10^{7}$ m /s

Q156·PhysicsNumericalJEE Main 2021

The maximum amplitude wave is found to be 12 V while the minimum amplitude is found to be 3 V. The modulation index is 0.6x where x is __________.

Q157·PhysicsSingle correctJEE Main 2021

A linearly polarized 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

Is incident normally on a perfectly reflecting wall at z = a. Choose the correct option

(A)The frequency of electromagnetic wave is $54 \times 10^4$ Hz.
(B)The transmitted wave will be $3.1 \cos\left[\left(1.8\right)z - \left(5.4 \times 10^6\right)t\right]\hat{i}\ N/C$
(C)The reflected wave will be $3.1 \cos\left[\left(1.8\right)z + \left(5.4 \times 10^6\right)t\right]\hat{i}\ N/C$
(D)The wavelength is 5.4 m

Q158·PhysicsNumericalJEE Main 2021

A message single of frequency 20 kHz and peak voltage of 20 volt is used to modulate a carrier wave of frequency 1 MHz and peak voltage of 20 volt. The modulation index will be ________.

Q159·PhysicsSingle correctJEE Main 2021

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 that point?

\left(\varepsilon_0=8.85\times10^{-12}\,\mathrm{C^2\,N^{-1}\,m^{-2}}\right)

(A)5.88 T
(B) $1.96\times10^{-8}$ T
(C)8.31 T
(D) $2.77\times10^{-8}$ T

Q160·PhysicsSingle correctJEE Main 2021

AC voltage

V(t) = 20\sin\omega t

of frequency 50Hz is applied to a parallel plate capacitor. The separation between the plates is 2mm and the area is

1\,m^2

. The amplitude of the oscillating displacement current for the applied Ac voltage is ________. [ Take

\varepsilon_0 = 8.85 \times 10^{-12}

F / m ]

(A)83.37 μA
(B)55.58 μA
(C)21.14 μA
(D)27.79 μA

Q161·PhysicsSingle correctJEE Main 2021

In 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.

(A) $\left( -\hat{k} \right)$
(B) $\left( \hat{k} \right)$
(C) $\left( -\hat{j} \right)$
(D) $\hat{j}$

Q162·PhysicsSingle correctJEE Main 2021

Match List–I with List–II. List–I (a) 10 km height over earth's surface (b) 70 km height over earth's surface (c) 180 km height over earth's surface (d) 270 km height over earth's surface List–II (i) Thermosphere (ii) Mesosphere (iii) Stratosphere (iv) Troposphere

(A)(a)–(iv), (b)–(iii), (c)–(ii), (d)–(i)
(B)(a)–(i), (b)–(iv), (c)–(iii), (d)–(ii)
(C)(a)–(iii), (b)–(ii), (c)–(i), (d)–(iv)
(D)(a)–(ii), (b)–(i), (c)–(iv), (d)–(iii)

Q163·PhysicsSingle correctJEE Main 2021

A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x-direction. At a particular point in space and time,

\vec{B} = 2.0 \times 10^{-8}\hat{k}\,\text{T}

. (where,

\hat{k}

is unit vector along z-direction) What is

\vec{E}

at this point ?

(A)0.6 $\hat{j}$ V/m
(B)6.0 $\hat{k}$ V/m
(C)6.0 $\hat{j}$ V/m
(D)0.6 $\hat{k}$ V/m

Q164·PhysicsNumericalJEE Main 2021

A TV transmission tower antenna is at a height of 20 m. Suppose that the receiving antenna is at. (i) ground level (ii) a height of 5 m. The increase in antenna range in case (ii) relative to case (i) is n%. The value of n, to the nearest integer, is .

Q165·PhysicsSingle correctJEE Main 2021

A plane electromagnetic wave propagating along y-direction can have the following pair of electric field

\left(\vec{E}\right)

and magnetic field

\left(\vec{B}\right)

components.

(A) $E_y$ , $B_y$ or $E_z$ , $B_z$
(B) $E_y$ , $B_x$ or $E_x$ , $B_y$
(C) $E_x$ , $B_z$ or $E_z$ , $B_x$
(D) $E_x$ , $B_y$ or $E_y$ , $B_x$

Q166·PhysicsNumericalJEE Main 2021

For VHF signal broadcasting, ____ km

^2

of maximum service area will be covered by an antenna tower of height 30m, if the receiving antenna is placed at ground. Let radius of the earth be 6400 km. (Round off to the Nearest Integer) (Take

\pi

as 3.14)

Q167·PhysicsNumericalJEE Main 2021

If

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 minutes 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)

Q168·PhysicsNumericalJEE Main 2021

The electric field intensity produced by the radiation coming from a 100 W bulb at a distance of 3m is E. The electric field intensity produced by the radiation coming from 60 W at the same distance is

\sqrt{\frac{x}{5}}

E. Where the value of x =_________.

Q169·PhysicsSingle correctJEE Main 2021

A carrier signal C(t) = 25 sin (2.512 × 10

^{10}

t) is amplitude modulated by a message signal m(t) = 5 sin (1.57 × 10

^{8}

t) and transmitted through an antenna.What will be the bandwidth of the modulated signal ?

(A)8 GHz
(B)2.01 GHz
(C)1987.5 MHz
(D)50 MHz

Q170·PhysicsNumericalJEE Main 2021

Seawater at a frequency f = 9 × 10

^{2}

Hz, has permittivity ε = 80ε

_{0}

and resistivity ρ = 0.25 Ωm. Imagine a parallel plate capacitor is immersed in seawater and is driven by an alternating voltage source V(t)=V

_{0}

sin (2πft). Then the conduction current density becomes 10

^{x}

times the displacement current density after time t =

\frac{1}{800}

s. The value of x is ________ (Given :

\frac{1}{4\pi\varepsilon_{0}} = 9 \times 10^{9}\,\mathrm{Nm}^{2}\mathrm{C}^{-2}

)

Q171·PhysicsSingle correctJEE Main 2021

Two identical antennas mounted on identical towers are separated from each other by a distance of 45 km. What should nearly be the minimum height of receiving antenna to receive the signals in line of sight ? (Assume radius of earth is 6400 km)

(A)19.77 m
(B)39.55 m
(C)79.1 m
(D)158.2 m

Q172·PhysicsSingle correctJEE Main 2021

Red light differs from blue light as they have :

(A)Different frequencies and different wavelengths
(B)Different frequencies and same wavelengths
(C)Same frequencies and same wavelengths
(D)Same frequencies and different wavelengths

Q173·PhysicsSingle correctJEE Main 2021

For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric (U

_e

) and magnetic (U

_m

) fields is :

(A) $U_e = U_m$
(B) $U_e > U_m$
(C) $U_e < U_m$
(D) $U_e \neq U_m$

Q174·PhysicsSingle correctJEE Main 2021

A 25 m long antenna is mounted on an antenna tower. The height of the antenna tower is 75 m. The wavelength (in meter) of the signal transmitted by this antenna would be :

(A)300
(B)400
(C)200
(D)100

Q175·PhysicsSingle correctJEE Main 2021

A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular point in space and time,

\vec{B} = 8.0 \times 10^{-8}\,\hat{z}\,

T. The value of electric field at this point is : (speed of light = 3 × 10

^{8}

ms

^{-1}

)

\hat{x}, \hat{y}, \hat{z}

are unit vectors along x, y and z direction.

(A) $-24\,\hat{x}$ V/m
(B) $2.6\,\hat{x}$ V/m
(C) $24\,\hat{x}$ V/m
(D) $-2.6\,\hat{y}$ V/m

Q176·PhysicsNumericalJEE Main 2021

The maximum and minimum amplitude of an amplitude modulated wave is 16 V and 8 V respectively. The modulation index for this amplitude modulated wave is x ×10

^{-2}

. The value of x is _________.

Q177·PhysicsNumericalJEE Main 2021

A radiation is emitted by 1000 W 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 × 10

^{-1}

V/m. Value of x is ____________. (Rounded-off to the nearest integer) [Take ε

_{0}

= 8.85×10

^{-12}

C

^{2}

N

^{-1}

m

^{-2}

, c=3×10

^{8}

ms

^{-1}

]

Q178·PhysicsNumericalJEE Main 2021

If thehighest frequency modulating a carrier is 5 kHz, then the number of AM broadcast stations accommodated in a 90 kHz bandwidth are ____________________.

Q179·PhysicsNumericalJEE Main 2021

The peak electric field produced by the radiation coming from the 8 W bulb at a distance of 10 m is xµ

^{0}

cV. The efficiency of the bulb is 10% and it is a point source. The value of x is ___. 10πm

Q180·PhysicsSingle correctJEE Main 2021

if a message signal of frequency 'ƒm' is amplitude modulated with a carrier signal of frequency 'ƒc' and radiated through an antenna, the wavelength of the corresponding signal in air is: cccc

(A) $\dfrac{c}{f_{c}+f_{m}}$
(B) $\dfrac{c}{f_{c}-f_{m}}$
(C) $\dfrac{c}{f_{m}}$
(D) $\dfrac{c}{f_{c}}$

Q181·PhysicsSingle correctJEE Main 2021

Given below are two statements : Statement I : A speech signal of 2 kHz is used to modulate a carrier signal of 1 MHz. The bandwidth requirement for the signal is 4 kHz. Statement II : The side band frequencies are 1002 kHz and 998 kHz. In the light of the above statements, choose the correct answer from the options given below :

(A)Both statement I and statement II are false
(B)Statement I is false but statement II is true
(C)Statement I is true but statement II is false
(D)Both statement I and statement II are true

Q182·PhysicsNumericalJEE Main 2021

An electromagnetic wave of frequency 3 GHz enters a dielectric medium of relative electric permittivity 2.25 from vacuum. The wavelength of this wave in that medium wil be ________

\times 10^{-2}

cm.

Q183·PhysicsSingle correctJEE Main 2021

Match List - I with List - II. List - I (a) Source of microwave frequency (b) Source of infrared frequency (c) Source of Gamma Rays (d) Source of X-rays List - II (i) Radioactive decay of nucleus (ii) Magnetron (iii) Inner shell electrons (iv) Vibration of atoms and molecules (v) LASER (vi) RC circuit Choose the correct answer from the options given below :

(A)(a)-(ii),(b)-(iv),(c)-(i),(d)-(iii)
(B)(a)-(vi),(b)-(iv),(c)-(i),(d)-(v)
(C)(a)-(ii),(b)-(iv),(c)-(vi),(d)-(iii)
(D)(a)-(vi),(b)-(v),(c)-(i),(d)-(iv)

Q184·PhysicsNumericalJEE Main 2021

An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative magnetic permeability bothare 2. Its velocity in this medium is ________

\times 10^{7}

m/s.

Q185·PhysicsNumericalJEE Main 2021

A signal of 0.1 kW is transmitted in a cable. The attenuation of cable is -5 dB per km and cable length is 20 km. the power received at receiver is

10^{-x}

W. The value of x is ________. [Gain in dB

= 10\log_{10}\left(\dfrac{P_{0}}{P_{i}}\right)

]

Q186·PhysicsNumericalJEE Main 2021

An audio signal

\upsilon_m

= 20sin2

\pi

(1500t) amplitude modulates a carrier

\upsilon_c

=80 sin 2

\pi

(100,000t). The value of percent modulation is __________.

Q187·PhysicsSingle correctJEE Main 2020

For a plane electromagnetic wave, the magnetic field at a point x and time t is

\vec{B}(x, t) = \left[1.2×10^{-7} \sin(0.5×10^{3}x + 1.5×10^{11}t)\hat{k}\right]

T The instantaneous electric field

\vec{E}

corresponding to

\vec{B}

is: (speed of light c = 3 ×

10^{8}

ms^{-1}

)

(A) $\vec{E}(x, t) = \left[-36 \sin(0.5×10^{3}x + 1.5×10^{11}t)\hat{j}\right]\frac{V}{m}$
(B) $\vec{E}(x, t) = \left[36 \sin(1×10^{3}x + 0.5×10^{11}t)\hat{j}\right]\frac{V}{m}$
(C) $\vec{E}(x, t) = \left[36 \sin(0.5×10^{3}x + 1.5×10^{11}t)\hat{k}\right]\frac{V}{m}$
(D) $\vec{E}(x, t) = \left[36 \sin(1×10^{3}x + 1.5×10^{11}t)\hat{i}\right]\frac{V}{m}$

Q188·PhysicsSingle correctJEE Main 2020

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 electric field is

\vec{E} = 30\hat{j}\sin\left(1.5\times10^{7}t - 5\times10^{-2}x\right)

V/m. The maximum magnetic force experienced by the electron will be: (given

c = 3\times10^{8}\,\mathrm{ms^{-1}}

and electron charge

= 1.6\times10^{-19}

C)

(A) $3.2\times10^{-18}$ N
(B) $1.5\times10^{-19}$ N
(C) $2.4\times10^{-18}$ N
(D) $4.8\times10^{-19}$ N

Q189·PhysicsSingle correctJEE Main 2020

The correct match between the entries in column I and column II are:

Radiation	Wavelength
a.Microwave	i.100 m
b.Gamma rays	ii. $10^{-15}$ m
c.A.M. radio waves	iii. $10^{-10}$ m
d.X-rays	iv. $10^{-3}$ m

(A)(a)-(iv), (b)-(ii), (c)-(i), (d)-(iii)
(B)(a)-(i), (b)-(iii), (c)-(iv), (d)-(ii)
(C)(a)-(iii), (b)-(ii), (c)-(i), (d)-(iv)
(D)(a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)

Q190·PhysicsSingle correctJEE Main 2020

Choose the correct option relating wavelengths of different parts of electromagnetic wave spectrum:

(A) $\lambda_{\text{x-rays}} < \lambda_{\text{micro waves}} < \lambda_{\text{radio waves}} < \lambda_{\text{visible}}$
(B) $\lambda_{\text{visible}} < \lambda_{\text{micro waves}} < \lambda_{\text{radio waves}} < \lambda_{\text{x-rays}}$
(C) $\lambda_{\text{visible}} > \lambda_{\text{x-rays}} > \lambda_{\text{radio waves}} > \lambda_{\text{micro waves}}$
(D) $\lambda_{\text{radio waves}} > \lambda_{\text{micro waves}} > \lambda_{\text{visible}} > \lambda_{\text{x-rays}}$

Q191·PhysicsSingle correctJEE Main 2020

The 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 by:

(A) $\frac{E_{0}}{c}\left(\hat{x}-\hat{y}\right)\sin\left(kz-\omega t\right)$
(B) $\frac{E_{0}}{c}\left(\hat{x}-\hat{y}\right)\cos\left(kz-\omega t\right)$
(C) $\frac{E_{0}}{c}\left(-\hat{x}+\hat{y}\right)\sin\left(kz-\omega t\right)$
(D) $\frac{E_{0}}{c}\left(\hat{x}+\hat{y}\right)\sin\left(kz-\omega t\right)$

Q192·PhysicsSingle correctJEE Main 2020

The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is

\vec{E} = E_0\hat{j}\cos(\omega t - kx)

. The magnetic field

\vec{B}

, at the moment t = 0 is:

(A) $\vec{B} = E_0\sqrt{\mu_0 \epsilon_0}\,\cos(kx)\,\hat{j}$
(B) $\vec{B} = E_0\sqrt{\mu_0 \epsilon_0}\,\cos(kx)\,\hat{k}$
(C) $\vec{B} = \dfrac{E_0}{\sqrt{\mu_0 \epsilon_0}}\cos(kx)\,\hat{k}$
(D) $\vec{B} = \dfrac{E_0}{\sqrt{\mu_0 \epsilon_0}}\cos(kx)\,\hat{j}$

Q193·PhysicsSingle correctJEE Main 2020

The magnetic field of a plane electromagnetic wave is

\vec{B} = 3 \times 10^{-8}\ \sin[200\ \pi(y+ ct)]\ \hat{i}\,T

where

c = 3 \times 10^{8}\ ms^{-1}

is the speed of light. The corresponding electric field is

(A) $\vec{E} = 9\sin[200\ \pi(y+ ct)]\ \hat{k}$ V / m
(B) $\vec{E} = -9\sin[200\ \pi(y+ ct)]\ \hat{k}$ V / m
(C) $\vec{E} = 3\times 10^{-8}\sin[200\ \pi(y+ ct)]\ \hat{k}$ V / m
(D) $\vec{E} = -10^{-6}\sin[200\ \pi(y+ ct)]\ \hat{k}$ V / m

Q194·PhysicsSingle correctJEE Main 2020

The electric fields of two plane electromagnetic plane waves in vacuum are given by

\vec{E}_{1} = E_{0}\hat{j}\cos(\omega t - kx)

and

\vec{E}_{2} = E_{0}\hat{k}\cos(\omega t - ky)

. At t = 0, a particle of charge q is at origin with velocity

\vec{v} = 0.8c\hat{j}

(c is the speed of light in vaccum). The instantaneous force experienced by the particle is:

(A) $E_{0}q(0.8\hat{i} - \hat{j} + 0.4\hat{k})$
(B) $E_{0}q(0.4\hat{i} - 3\hat{j} + 0.8\hat{k})$
(C) $E_{0}q(0.8\hat{i} + \hat{j} + 0.2\hat{k})$
(D) $E_{0}q(-0.8\hat{i} + \hat{j} + \hat{k})$

Q195·PhysicsSingle correctJEE Main 2020

A plane electromagnetic wave is propagating along the direction

\frac{\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)

(A) $B_{0}\frac{\hat{j} - \hat{i}}{\sqrt{2}}\cos\left(\omega t + k\frac{\hat{i} + \hat{j}}{\sqrt{2}}\right)$
(B) $B_{0}\,\hat{k}\cos\left(\omega t - k\frac{\hat{i} + \hat{j}}{\sqrt{2}}\right)$
(C) $B_{0}\frac{\hat{i} - \hat{j}}{\sqrt{2}}\cos\left(\omega t - k\frac{\hat{i} + \hat{j}}{\sqrt{2}}\right)$
(D) $B_{0}\frac{\hat{i} + \hat{j}}{\sqrt{2}}\cos\left(\omega t - k\frac{\hat{i} + \hat{j}}{\sqrt{2}}\right)$

Q196·PhysicsSingle correctJEE Main 2020

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 field is given by

\vec{B}=5\times 10^{-8}\hat{j}

T. The corresponding electric field

\vec{E}

is (speed of light c =

3\times 10^{8}

ms

^{-1}

)

(A) $-1.66\times 10^{-16}\hat{i}$ V/m
(B) $-15\hat{i}$ V/m
(C) $15\hat{i}$ V/m
(D) $1.66\times 10^{-16}\hat{i}$ V/m

Q197·PhysicsSingle correctJEE Main 2020

If the magnetic field in a plane electromagnetic wav is given by

\vec{B} = 3 \times 10^{-8} \sin(1.6 \times 10^{3} x + 48 \times 10^{10} t)\hat{j}

T, then what will be expression for electric field?

(A) $\vec{E} = \left(60 \sin(1.6 \times 10^{3} x + 48 \times 10^{10} t)\hat{k} \text{ V/m}\right)$
(B) $\vec{E} = \left(3 \times 10^{-8} \sin(1.6 \times 10^{3} x + 48 \times 10^{10} t)\hat{i} \text{ V/m}\right)$
(C) $\vec{E} = \left(9 \sin(1.6 \times 10^{3} x + 48 \times 10^{10} t)\hat{k} \text{ V/m}\right)$
(D) $\vec{E} = \left(3 \times 10^{-8} \sin(1.6 \times 10^{3} x + 48 \times 10^{10} t)\hat{j} \text{ V/m}\right)$

Q198·PhysicsSingle correctJEE Main 2020

The electric field of a plane electromagnetic wave is given by

\vec{E} = E_0 \dfrac{\hat{i}+\hat{j}}{\sqrt{2}}\cos(kz+\omega t)

At t = 0, a positively charged particle is at the point (x, y, z)

= \left(0, 0, \dfrac{\pi}{k}\right)

. If its instantaneous velocity at (t = 0) is

v_0\hat{k}

, the force acting on it due to the wave is:

(A)zero
(B)parallel to $\dfrac{\hat{i}+\hat{j}}{\sqrt{2}}$
(C)parallel to $\hat{k}$
(D)antiparallel to $\dfrac{\hat{i}+\hat{j}}{\sqrt{2}}$

Q199·PhysicsSingle correctJEE Main 2019

An electromagnetic wave is represented by the electric field

\vec{E} = E_0\hat{n}\sin[\omega t + (6y - 8z)]

. Taking unit vectors in x, y and z directions to be

\hat{i}, \hat{j}, \hat{k}

, the direction of propogation

\hat{s}

, is :

(A) $\hat{S} = \left(\dfrac{-3\hat{j}+4\hat{k}}{5}\right)$
(B) $\hat{S} = \left(\dfrac{4\hat{j}-3\hat{k}}{5}\right)$
(C) $\hat{S} = \left(\dfrac{-4\hat{k}+3\hat{j}}{5}\right)$
(D) $\hat{S} = \left(\dfrac{-3\hat{i}-4\hat{j}}{5}\right)$

Q200·PhysicsSingle correctJEE Main 2019

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 cm

^{2}

, the maximum transferred to the surface in 40 min time duration will be

(A) $6.3 \times 10^{-4}$ Ns
(B) $3.5 \times 10^{-6}$ Ns
(C) $5.0 \times 10^{-3}$ Ns
(D) $1.4 \times 10^{-6}$ Ns

Q201·PhysicsSingle correctJEE Main 2019

The electric field of a plane electromagnetic wave is given by

\vec{E} = E_{0}\hat{i}\cos(kz)\cos(\omega t)

The corresponding magnetic field

\vec{B}

is then given by:

(A) $\vec{B} = \dfrac{E_{0}}{C}\hat{j}\sin(kz)\cos(\omega t)$
(B) $\vec{B} = \dfrac{E_{0}}{C}\hat{k}\sin(kz)\cos(\omega t)$
(C) $\vec{B} = \dfrac{E_{0}}{C}\hat{j}\cos(kz)\sin(\omega t)$
(D) $\vec{B} = \dfrac{E_{0}}{C}\hat{j}\sin(kz)\sin(\omega t)$

Q202·PhysicsSingle correctJEE Main 2019

The magnetic field of a plane electromagnetic wave is given by:

\vec{B} = B_0\hat{i}[\cos(kz-\omega t)] + B_1\hat{j}\cos(kz-\omega t)

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 closet to:

(A)0.9 N
(B)0.6 N
(C)0.1 N
(D) $3\times 10^{-2}$ N

Q203·PhysicsSingle correctJEE Main 2019

The 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 closet to :

(A)1 T
(B) $10^{2}$ T
(C) $10^{-2}$ T
(D) $10^{-4}$ T

Q204·PhysicsSingle correctJEE Main 2019

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 fields, and the ratio of the magnitudes of magnetic fields of the wave before and after entering into the medium are respectively. Given by:

(A) $\left(\dfrac{1}{\sqrt{n}}, \dfrac{1}{\sqrt{n}}\right)$
(B) $\left(\sqrt{n}, \sqrt{n}\right)$
(C) $\left(\sqrt{n}, \dfrac{1}{\sqrt{n}}\right)$
(D) $\left(\dfrac{1}{\sqrt{n}}, \sqrt{n}\right)$

Q205·PhysicsSingle correctJEE Main 2019

A 27 mW lager beam has a cross-sectional area of 10 mm

^{2}

. The magnitude of the maximum electric field in this electromagnetic wave is given by: [Given permittivity of space

\epsilon_{0}=9\times10^{-12}

SI units, speed of light

c=3\times10^{8}

m/s]

(A)2 kV/m
(B)0.7 kV/m
(C)1 kV/m
(D)1.4 kV/m

Q206·PhysicsSingle correctJEE Main 2019

If the magnetic field of a plane electromagnetic wave is given by (The speed of light =

3\times10^{8}

m/s)

B=100\times10^{-6}\sin\left[2\pi\times2\times10^{15}\left(t-\frac{x}{c}\right)\right]

then the maximum electric field associated with it is:

(A) $6\times10^{4}$ N/C
(B) $3\times10^{4}$ N/C
(C) $4\times10^{4}$ N/C
(D) $4.5\times10^{4}$ N/C

Q207·PhysicsSingle correctJEE Main 2019

The energy associated with electric field is (

U_E

) and with magnetic field is (

U_B

) for an electromagnetic wave in free space. Then:

(A) $U_E = \frac{U_B}{2}$
(B) $U_E > U_B$
(C) $U_E < U_B$
(D) $U_E = U_B$

Q208·PhysicsSingle correctJEE Main 2019

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,

\vec{E} = 6.3\hat{j}

V / m.. The corresponding magnetic field

\vec{B}

, at that point will be

(A) $18.9 \times 10^{-8}\ \hat{k}$ T
(B) $2.1 \times 10^{-8}\ \hat{k}$ T
(C) $6.3 \times 10^{-8}\ \hat{k}$ T
(D) $18.9 \times 10^{8}\ \hat{k}$ T

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