Electromagnetic Wave and Their Characteristics

An electromagnetic wave is travelling in a medium with a velocity $\overrightarrow{v}=v\widehat{i}$ . The electric field oscillations, of this electromagnetic wave wave, are along the y – axis.

(a) Identify the direction in which the magnetic field oscillations are taking place, of the electromagnetic wave wave.

(b) How are the magnitudes of the electric and magnetic fields in the electromagnetic wave related to each other?

Identify the following electromagnetic radiations as per the wavelength given below.

(a) 10 −12 m

(b) 10 −8 m

Identify the following electromagnetic radiation as per the wavelengths given below.

(a)  ${10}^{-3} \mathrm{m}$

(b) $1 \mathrm{nm}$

The wavelength,  $K_{\alpha }$ of X-rays produced by an X-ray tube is $0.76 \mathrm{\AA }$. The atomic number of the anode material of the tube is___________

The wavelength,  $K_{\alpha }$ of X-rays produced by an X-ray tube is 0.76 Å. The atomic number of the anode material of the tube is___________

In an X-ray tube, electrons accelerated through a potential difference of $15,000$ volts strike a copper target. The speed of the emitted X-rays inside the tube is $\mathrm{m}{ \mathrm{s}}^{-1}$

Which of the following pairs of electric and magnetic field vector represent an electromagnetic wave travelling along negative z-axis?

In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negative z-axis and magnetic field is along the positive x-axis. Then the direction of propagation of electromagnetic wave is:

Given below are two statements: 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.

Match List-I with List II of Electromagnetic waves with corresponding wavelength range:

Choose the correct answer from the options given below:

The electric field in an electromagnetic wave is given as
$\overrightarrow{E}=20\sin \omega \left(t-\frac{x}{c}\right)\overrightarrow{\mathrm{j}}\mathrm{N} {\mathrm{C}}^{-1}$, 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 ${\epsilon }_0=8.85\times {10}^{-12}{\mathrm{C}}^2 {\mathrm{N}}^{-1} {\mathrm{m}}^{-2}$)

A plane electromagnetic wave of frequency $20 \mathrm{MHz}$ propagates in free space along $x$-direction. At a particular space and time $\overrightarrow{E}=6.6\widehat{j } \mathrm{V} {\mathrm{m}}^{-1}$. What is $\overrightarrow{B}$ at this point?

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

For the plane electromagnetic wave given by $E=E_0\sin (\omega t–kx)$ and $B=B_0\sin (\omega t-kx),$ the ratio of average electric energy density to average magnetic energy density is 

The energy density associated with electric field $\overrightarrow{E}$ and magnetic field $\overrightarrow{B}$ of an electromagnetic wave in free space is given by (${\epsilon }_0-$ permittivity of free space, ${\mu }_0-$ permeability of free space)

The amplitude of magnetic field in an electromagnetic wave propagating along $y$-axis is $6.0 \times {10}^{–7} \mathrm{T}$. The maximum value of electric field in the electromagnetic wave is

Assume that a radio station is about $200 \mathrm{km}$away from your location and the station operates at$972 \mathrm{kHz}$. How long does it take for an electromagnetic signal to travel from the station to you and how many wave crests does it send out per second?

The electric field portion of an electromagnetic wave is given by (all variables in SI units) $E={10}^{-4}\sin (6\times {10}^{5}t-0.01x)$. The frequency $f$ and the speed $v$ of electromagnetic wave are