The electric and the magnetic field, associated with an e.m. wave, propagating along the $+\, z-$axis, can be represented by
$\left[ {\vec E = {E_0}\hat i,\vec B = {B_0}\hat j} \right]$
$\left[ {\vec E = {E_0}\hat k,\vec B = {B_0}\hat i} \right]$
$\left[ {\vec E = {E_0}\hat j,\vec B = {B_0}\hat i} \right]$
$\left[ {\vec E = {E_0}\hat j,\vec B = {B_0}\hat k} \right]$
A plane electromagnetic wave is propagating along the direction $\frac{\hat{i}+\hat{j}}{\sqrt{2}},$ with its polarization along the direction $\hat{\mathrm{k}}$. The correct form of the magnetic field of the wave would be (here $\mathrm{B}_{0}$ is an appropriate constant)
In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of $2.0 \times 10^{10}\; Hz$ and amplitude $48\; Vm ^{-1}$
$(a)$ What is the wavelength of the wave?
$(b)$ What is the amplitude of the oscillating magnetic field?
$(c)$ Show that the average energy density of the $E$ field equals the average energy density of the $B$ field. $\left[c=3 \times 10^{8} \;m s ^{-1} .\right]$
A plane electromagnetic wave is travelling in the positive $X-$axis. At the instant shown electric field at the extremely narrow dashed rectangle is in the $-ve$ $z$ direction and its magnitude is increasing. Which diagram correctly shows the direction and relative magnitudes of magnetic field at the edges of rectangle :-
A particle of charge $q$ and mass $m$ is moving along the $x-$ axis with a velocity $v,$ and enters a region of electric field $E$ and magnetic field $B$ as shown in figures below. For which figure the net force on the charge may be zero :-
The intensity of a light pulse travelling along a communication channel decreases exponentially with distance $x$ according to the relation $I = {I_0}{e^{ - \alpha x}}$ , where $I_0$ is the intensity at $x = 0$ and $\alpha $ is the attenuation constant. The attenuation in $dB/km$ for an optical fibre in which the intensity falls by $50$ percent over a distance of $50\ km$ is