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The intensity of the light from a bulb incident on a surface is \( 0.22 \, \text{W/ m}^{2} \). The amplitude of the magnetic field in this light-wave is __________ \( \times 10^{-9} \, \text{T} \).
(Given : Permittivity of vacuum \( \varepsilon_{0} = 8.85 \times 10^{-12} \, \text{C}^{2}\, \text{N}^{-1}\, \text{m}^{-2} \) , speed of light in vacuum \( c = 3 \times 10^{8} \, \text{m s}^{-1} \) )

Sun light falls normally on a surface of area \( 36 \, \text{cm}^2 \) and exerts an average force of \( 7.2 \times 10^{-9} \, \text{N} \) within a time period of \( 20 \, \text{minutes} \). Considering a case of complete absorption. The energy flux of incident light is:

Match List -I with List -II:

Choose the correct answer from the options given below:

A plane electromagnetic wave travels in a medium of relative permeability \( 1.61 \) and relative permittivity \( 6.44 \). If magnitude of magnetic intensity is \( 4.5 \times 10^{-2} \, \mathrm{A \, m^{-1}} \) at a point, what will be the approximate magnitude of electric field intensity at the point?
(Given: Permeability of free space \( \mu_{0} = 4 \pi \times 10^{-7} \, \mathrm{N \, A^{-2}} \) , speed of light in vacuum \( c = 3 \times 10^{8} \, \mathrm{m \, s^{-1}} \) )

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:

An EM wave propagating in \( x \)–direction has a wavelength of \( 8 \, \text{mm} \). The electric field vibrating \( y \)–direction has maximum magnitude of \( 60 \, \text{V m}^{-1} \). Choose the correct equations for electric and magnetic fields if the EM wave is propagating in vacuum:

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:

The electromagnetic waves travel in a medium at a speed of \( 2.0 \times 10^{8} \, \text{m} / \text{s} \). The relative permeability of the medium is \( 1.0 \). The relative permittivity of the medium will be:

The rms value of conduction current in a parallel plate capacitor is \( 6.9\,\mu\text{A} \). The capacity of this capacitor, if it is connected to \( 230\,\text{V} \) ac supply with an angular frequency of \( 600\,\text{rad/s} \), will be:

An electric bulb is rated as \( 200 \,\text{W} \). What will be the peak magnetic field at \( 4 \,\text{m} \) distance produced by the radiations coming from this bulb? Consider this bulb as a point source with \( 3.5\% \) efficiency.

A radar sends an electromagnetic signal of electric field \( (E_{0}) = 2.25 \, \text{V/m} \) and magnetic field \( (B_{0}) = 1.5 \times 10^{-8} \, \text{T} \) which strikes a target on line of sight at a distance of \( 3 \, \text{km} \) in a medium. After that, a part of signal (echo) reflects back towards the radar with same velocity and by same path. If the signal as transmitted at time \( t = 0 \) from radar, then after how much time echo will reach to the transmitted at time \( t = 0 \) from radar, then after how much time echo will echo to the radar?

Match List-I with List-II

Choose the correct answer from the options given below:

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

$E = -301.6 \sin(kz - \omega t)\hat{a}_x + 452.4 \sin(kz - \omega t)\hat{a}_y \, \frac{\text{V}}{\text{m}}$

Then, magnetic intensity '$\text{H}$' of this wave in $\text{Am}^{-1}$ will be:
[Given: speed of light in vacuum $c = 3 \times 10^8 \, \text{ms}^{-1}$, Permeability of vacuum $\mu_0 = 4\pi \times 10^{-7} \, \text{NA}^{-2}$]

The electric field in an electromagnetic wave is given by \( E = 56.5 \sin \omega (t - x/c) \, \mathrm{N\,C^{-1}} \). Find the intensity of the wave if it is propagating along \( x \)-axis in the free space.
(Given \( \varepsilon_0 = 8.85 \times 10^{-12} \, \mathrm{C^2 N^{-1} m^{-2}} \))

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JEE Main 2022 25th June Evening Shift

The electromagnetic waves travel in a medium at a speed of \( 2.0 \times 10^{8} \, \text{m} / \text{s} \). The relative permeability of the medium is \( 1.0 \). The relative permittivity of the medium will be: