List of top Physics Questions on Electromagnetic Waves asked in IIT JAM PH

The electric field of an electromagnetic wave has the form \( \vec{E} = E_0 \cos(\omega t - kz)\hat{i} \). At \( z = 0 \), a test particle of charge \( q \) and velocity \( \vec{v} = 0.5c \hat{k} \) (where \( c \) is the speed of light) is placed. The total instantaneous force on the particle is:

The expression for the magnetic field that induces the electric field \( \vec{E} = K(y\hat{i} + 3z\hat{j} + 4y\hat{k}) \cos(\omega t) \) is:

Consider the normal incidence of a plane electromagnetic wave with electric field given by \[ \vec{E} = E_0 \exp{[i(k_1 z - \omega t)]} \hat{x} \] over an interface at \( z = 0 \) separating two media [wave velocities \( v_1 \) and \( v_2 \) (with \( v_2>v_1 \)) and wave vectors \( k_1 \) and \( k_2 \), respectively], as shown in the figure. The magnetic field vector of the reflected wave is

The electric field of an electromagnetic wave is given by \( \mathbf{E} = (2\hat{k} - 3\hat{j}) \times 10^{-3} \sin \left( 10^7 (x + 2y + 3z - \beta t) \right) \). The value of \( \beta \) is (c is the speed of light):

The wave number of an electromagnetic wave incident on a metal surface is \( (20 \pi + 750) \, \text{m}^{-1} \) inside the metal, where \( i = \sqrt{-1} \). The skin depth of the wave in the metal is:

The dispersion relation for electromagnetic waves travelling in a plasma is given as \( \omega^2 = c^2k^2 + \omega_p^2 \), where \( c \) and \( \omega_p \) are constants. In this plasma, the group velocity is: