Electromagnetic Waves

The relation between $[\epsilon_0]$ and $[\mu_0]$ is

Magnetic field in a plane electromagnetic wave is given by
$$\vec B=B_0\sin(kx+\omega t)\hat j\ \text{T}$$
Expression for corresponding electric field will be :

Where c is speed of light.

The electric field component of a monochromatic radiation is given by
$$\vec E=2E_0\hat i\cos kz\cos\omega t$$
Its magnetic field $\vec B$ is then given by :

Arrange the following electromagnetic radiations per quantum in the order of increasing energy :

A : Blue light B : Yellow light C : X-ray D : Radiowave.

Microwave oven acts on the principle of :

Consider an electromagnetic wave propagating in vacuum. Choose the correct statement :

In terms of potential difference $V$, electric current $I$, permittivity $\varepsilon_0$, permeability $\mu_0$ and speed of light $c$, the dimensionally correct equation(s) is(are)

A red LED emits light at 0.1 watt uniformly around it. The amplitude of the electric field of the light at a distance of 1 m from the diode is :

An electromagnetic wave travelling in the $x$-direction has frequency of $2\times10^{14}$ Hz and electric field amplitude of 27 Vm$^{-1}$. From the options given below, which one describes the magnetic field for this wave ?

For plane electromagnetic waves propagating in the $z$ direction, which one of the following combination gives the correct possible direction for $\vec E$ and $\vec B$ field respectively ?

During the propagation of electromagnetic waves in a medium :

Match List - I (Electromagnetic wave type) with List - II (Its association/application) and select the correct option from the choices given below the lists :

Match List I (Wavelength range of electromagnetic spectrum) with List II (Method of production of these waves) and select the correct option from the options given below the lists.

An electromagnetic wave of frequency $1\times10^{14}$ hertz is propagating along z - axis. The amplitude of electric field is 4 V/m. If $\epsilon_o=8.8\times10^{-12}$ C$^2$/N-m$^2$, then average energy density of electric field will be :

Match the List - I (Phenomenon associated with electromagnetic radiation) with List - II (Part of electromagnetic spectrum) and select the correct code from the choices given below the lists :

A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100 W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 5 m from the lamp will be nearly :

If denote microwaves, X rays, infrared, gamma rays, ultra-violet, radio waves and visible parts of the electromagnetic spectrum by M, X, I, G, U, R and V, the following is the arrangement in ascending order of wavelength :

Choose the correct statement.

Estimate the wavelength at which plasma reflection will occur for a metal having the density of electrons $N\approx4\times10^{27}\ \mathrm{m^{-3}}$. Take $\varepsilon_0\approx10^{-11}$ and $m\approx10^{-30}$, where these quantities are in proper SI units.