Electromagnetic Waves

Electromagnetic waves with wavelength 10 nm are called :

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 vector of the wave at that point is

Match List-I with List-II :

Choose the correct answer from the options give below:

The electromagnetic waves used in radar systems are :

In the four regions, I, II, III and IV, the electric fields are described as :

Region I : \(E _{ x }= E _0 \sin ( kz -\omega t )\)
Region II : \(E _{ x }= E _0\)
Region III : \(E _{ x }= E _0 \sin kz\)
Region IV : \(E _{ x }= E _0 \cos kz\)
The displacement current will exist in the region :

In the four regions, I, II, III and IV, the electric fields are described as :

Region I : \(E _{ x }= E _0 \sin ( kz -\omega t )\)
Region II : \(E _{ x }= E _0\)
Region III : \(E _{ x }= E _0 \sin kz\)
Region IV : \(E _{ x }= E _0 \cos kz\)
The displacement current will exist in the region :

Arrange the following in order of decreasing wavelength.

a: Microwave b: Ultraviolet

c: Infrared d: X-rays

(Shift II memory based)

Electromagnetic waves with wavelength 10 nm are called :

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 \(\left({\lambda }_{4}\right)\)

Choose the most appropriate answer from the options given below :

Match List-I with List-II :

Choose the correct answer from the options give below:

The phase difference between electric field \(\vec{E}\) and magnetic field \(\vec{B}\) in an electromagnetic wave propagating along z -axis is -

The phase difference between electric field \(\vec{E}\) and magnetic field \(\vec{B}\) in an electromagnetic wave propagating along z -axis is -

The first scientist who produced and observed electromagnetic waves of wavelengths in the range \(25\mathrm{mm}-5\mathrm{mm}\) was :

In the four regions, I, II, III and IV, the electric fields are described as :

Region I : \(E _{ x }= E _0 \sin ( kz -\omega t )\)
Region II : \(E _{ x }= E _0\)
Region III : \(E _{ x }= E _0 \sin kz\)
Region IV : \(E _{ x }= E _0 \cos kz\)
The displacement current will exist in the region :

Electromagnetic waves with wavelength 10 nm are called :

Due to presence of an em-wave whose electric component is given by \(E=100\sin (\omega t-kx)N{C}^{-1}\), 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

The electromagnetic waves used to purify water are

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 \(\left({\lambda }_{4}\right)\)

Choose the most appropriate answer from the options given below :

The electric field of an electromagnetic wave in free space is

\(\vec{\mathrm{E}}=57\cos \left[7.5\times {10}^{6}\mathrm{t}-5\times {10}^{-3}(3x+4y)\right](4\hat{i}-3\hat{j})N/C.\)

The associated magnetic field in Tesla is

[JEE Main 2025, 23 Jan (Shift 1)]

Which one of the following has the highest frequency?

The value of \({E}_{0}\) is 9.3 V/m and c is 3 × \({10}^{8}\) m/s. Find the value of B₀.

(Shift - II Memory Based)

Which one of the following has the highest frequency?

Which one of the following correctly represents the change in wave characteristics (all in vacuum) from microwaves to X-rays in electromagnetic spectrum?

The electromagnetic waves used to purify water are

Due to presence of an em-wave whose electric component is given by \(E=100\sin (\omega t-kx)N{C}^{-1}\), 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

The first scientist who produced and observed electromagnetic waves of wavelengths in the range \(25\mathrm{mm}-5\mathrm{mm}\) was :

The first scientist who produced and observed electromagnetic waves of wavelengths in the range \(25\mathrm{mm}-5\mathrm{mm}\) was :

A parallel plate capacitor has a total plate area of \(16\text{ }{\text{cm}}^{2}\) and a distance of \(10\text{ }\text{cm}\) between the plates. This capacitor is connected to an AC source, and at a given instant, the current in the circuit is \(6\text{ }\text{A}\). Assuming a smaller region of area \(3.2\text{ }{\text{cm}}^{2}\) lies between and parallel to the plates, what is the displacement current in this region?

(Shift II Memory Based)

The electromagnetic waves used to purify water are

Which one of the following correctly represents the change in wave characteristics (all in vacuum) from microwaves to X-rays in electromagnetic spectrum?

In an electromagnetic wave, the magnetic field is given as \(\vec{B}=\left(\frac{\sqrt{3}}{2} \hat{\imath}+\frac{1}{2} \hat{\jmath}\right) 30 \sin (\omega t-k z)\), the corresponding electric field is

(Shift - II Memory Based)

Which one of the following has the highest frequency?

The phase difference between electric field \(\vec{E}\) and magnetic field \(\vec{B}\) in an electromagnetic wave propagating along z -axis is -

Find the equation of the magnetic field for the given equation of the electric field (for an EM wave): \(\vec{\mathrm{E}}={\mathrm{E}}_{0}(4\hat{\mathrm{i}}−3\hat{\mathrm{j}})\cos ⁡(\mathrm{ωt}−\mathrm{kz})\mathrm{.}\)

(Shift I Memory Based)

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

The electric field E associated with an electromagnetic wave is represented by

\({E}_{y}={E}_{0}\sin (kx-\omega t)\)

Which of the following statements is correct?

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:

The electric field E associated with an electromagnetic wave is represented by

\({E}_{y}={E}_{0}\sin (kx-\omega t)\)

Which of the following statements is correct?

Which one of the following has the highest frequency?

Match List-I with List-II :

Choose the correct answer from the options give below:

[JEE Main 2024, 05 Apr (Shift 2)]

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

[JEE Main 2024, 6 Apr (Shift 2)]

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 statements, choose the most appropriate answer from the options given below :

[JEE Main 2025, 29 Jan (Shift 1)]

An electromagnetic wave propagates in the +X -direction. Then, the electric field and magnetic field are directed along

The electric field E associated with an electromagnetic wave is represented by

\({E}_{y}={E}_{0}\sin (kx-\omega t)\)

Which of the following statements is correct?

The energy associated with a cylindrical region due to an EM wave \(E=100 \sin (k x-\omega t)\) is \(u_0\). Find the equation of EM wave for which a cylinder of same length and half the diameter (as previous one) contains same energy \(u_0\).(Shift - I Memory Based)

The energy associated with a cylindrical region due to an EM wave \(E=100 \sin (k x-\omega t)\) is \(u_0\). Find the equation of EM wave for which a cylinder of same length and half the diameter (as previous one) contains same energy \(u_0\).(Shift - I Memory Based)

Which one of the following correctly represents the change in wave characteristics (all in vacuum) from microwaves to X-rays in electromagnetic spectrum?

Match List-I with List-II :

Choose the correct answer from the options give below:

The electric field E associated with an electromagnetic wave is represented by

\({E}_{y}={E}_{0}\sin (kx-\omega t)\)

Which of the following statements is correct?

An electromagnetic wave propagates in the +X -direction. Then, the electric field and magnetic field are directed along

\(\overrightarrow{ E }\) and \(\overrightarrow{ B }\) represent the electric and the magnetic field of an electromagnetic wave respectively. The direction of propagation of the wave is along

In the process of charging of a capacitor, the current produced between the plates of the capacitor is: (where symbols have their usual meanings.)

The electromagnetic radiations used to kill germs in water purifiers are called :

Which one of the following electromagnetic radiation has the least wavelength?

For a plane electromagnetic wave propagating in \( \mathrm{x} \)-direction, which one of the following combination gives the correct possible directions for electric field (E) and magnetic field (B) respectively?