Electromagnetic Waves

The electric field in a plane electromagnetic wave is given by \({\mathrm{E}}_{\mathrm{z}}=60\cos \left(5\mathrm{x}+1.5\times {10}^{9}\mathrm{t}\right)\mathrm{V}/\mathrm{m}.\)
Then expression for the coresponding magnetic field is (here subscripts denote the direction of the field) :

[NEET 2025]

A parallel plate capacitor is charged by connecting it to a battery through a resistor. If I is the current in the circuit, then in the gap between the plates:

[NEET 2024]

If the ratio of relative permeability and relative permittivity of a uniform medium is \(1:4\). The ratio of the magnitudes of electric field intensity (E) to the magnetic field intensity \((\mathrm{H})\) of an EM wave propagating in that medium is (Given that \(\sqrt{\frac{{\mu }_{0}}{{\epsilon }_{0}}}=120\pi :1\) )

[Re-NEET 2024]

Select the correct statements among the following :
A. Slow neutrons can cause fission in \({}_{92}^{235}\mathrm{U}\) than fast neutrons.
B. \(\alpha\)-rays are helium nuclei. $$
C. \(\beta\)-rays are fast moving electrons or positrons.
D. \(\gamma\)-rays are electromagnetic radiations of wavelengths larger than \(X\)-rays.

Choose the most appropriate answer from the options given below:

Which of the following is NOT a property of an electromagnetic wave travelling in free space?

A capacitor of capacitance \( C \) is connected across an ac source of voltage \( V \) is given by \( V=V_{0} \sin \omega t \).The displacement current between the plates of the capacitor would be given by

[NEET 2021]

Given below are two statement : 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 capacitor of capacitance \( C \) , is connected across an ac source of voltage \( V \), given by \( V=V_{0} \sin \omega t \)

The displacement current between the plates of the capacitor, would then be given by

[NEET 2021]

The E.M. wave with shortest wavelength among the following is,

[Re-NEET 2020]

Light with an average flux of \( 20 \mathrm{~W} / \mathrm{cm}^{2} \) falls on nonreflecting surface at normal incidence having surface area \( 20 \mathrm{~cm}^{2} \). The energy received by the surface during time span of 1 minute is:

[NEET 2020]

In a plane electromagnetic wave travelling in free space, the electric field component oscillates sinusoidally at a frequency of \(2.0\times {10}^{10}\mathrm{Hz}\) and amplitude \(48{\mathrm{Vm}}^{-1}\). Then the amplitude of oscillating magnetic field is : (Speed of light in free space \(=3\times {10}^{8}\mathrm{m}{\mathrm{s}}^{-1}\))

[NEET 2023]

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

[JEE Main 2023, 10 Apr (Shift 1)]

Which of the following Maxwell's equations is valid for time varying conditions but not valid for static conditions:

[JEE Main 2023, 13 Apr (Shift 1)]

The magnetic field in a plane electromagnetic wave is given by \(B_y=2 \times 10^{-7} \sin \left(\pi \times 10^3 x+3 \pi \times 10^{11} t\right)\)T. Calculate the wavelength.

The ratio of contributions made by the electric field and magnetic field components to the intensity of an electromagnetic wave is \( (c= \) speed of electromagnetic waves)

Electric field in a plane electromagnetic wave is given by \(\mathrm{E}=50\sin \left(500x-10\times {10}^{10}t\right)\mathrm{V}/\mathrm{m}\)

The velocity of electromagnetic wave in this medium is : (Given c= speed of light in vacuum)

[JEE Main 2021, 27 Aug (Shift 1)]

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

The electric field in an electromagnetic wave is given as \(\vec{\mathrm{E}}=20\sin \omega \left(\mathrm{t}-\frac{\mathrm{x}}{\mathrm{c}}\right)\hat{j}N/C\) Where \(\omega\) and c are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of \(5\times {10}^{-4}{\mathrm{m}}^{3}\) will be (Given \({\epsilon }_{0}=8.85\times {10}^{-12}{\mathrm{C}}^{2}/{\mathrm{Nm}}^{2}\) )

Intensity of sunlight is observed as \(0.092{\mathrm{Wm}}^{-2}\) at a point in free space. What will be the peak value of magnetic field at that point? \(\left({\epsilon }_{0}=8.85\times {10}^{-12}{\mathrm{C}}^{2}{\mathrm{N}}^{-1}{\mathrm{m}}^{-2}\right)\)

[JEE Main 2021, 22 Jul (Shift 2)]

A light beam is described by \(\mathrm{E}=800\sin \omega \left(t-\frac{x}{c}\right)\)V/m. An electron is allowed to move normal to the propagation of light beam with a speed of \(3\times {10}^{7}{\mathrm{ms}}^{-1}\). What is the maximum magnetic force exerted on the electron?

[JEE Main 2021, 26 Aug (Shift 2)]

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?

[NEET 2021]

AC voltage \(V(t)=(20\sin \omega t)\)volt of frequency \(50\mathrm{Hz}\) is applied to a parallel plate capacitor. The separation between the plates is \(2\mathrm{mm}\) and the area is \(1{\mathrm{m}}^{2}\). The amplitude of the oscillating displacement current for the applied AC voltage is [ [Take \({\epsilon }_{0}=8.85\times {10}^{-12}\mathrm{F}/\mathrm{m}\) ]

[JEE Main 2021, 20 Jul (Shift 1)]

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

A plane electromagnetic wave of frequency \(20\mathrm{MHz}\) propagates in free space along x-direction. At a particular space and time, \(\vec{E}=6.6\hat{j}\mathrm{V}/\mathrm{m}\). What is \(\vec{B}\) at this point?

Electric field in a plane electromagnetic wave is given by \(\mathrm{E}=50\sin \left(500x-10\times {10}^{10}t\right)\mathrm{V}/\mathrm{m}\)

The velocity of electromagnetic wave in this medium is : (Given c= speed of light in vacuum)