The electric field part of an electromagnetic wave in a medium is represented by :

${\mathrm{E}}_{\mathrm{x}}=0;$
${\mathrm{E}}_{\mathrm{y}}=2.5\frac{\mathrm{N}}{\mathrm{C}}\cos \left[\left(2\mathrm{\pi }\times {10}^6\frac{\mathrm{rad}}{s}\right)\mathrm{t} -\left(\mathrm{\pi }\times {10}^{-2}\frac{\mathrm{rad}}{m}\right)\mathrm{x}\right]$
${\mathrm{E}}_{\mathrm{z}}=0.$
$\mathrm{The} \mathrm{wave} \mathrm{is}-$

1. moving along y-direction with frequency $2\mathrm{\pi }\times {10}^6 \mathrm{Hz}$ and wavelength 200 m.

2. moving along +x-direction with frequency ${10}^6 \mathrm{Hz}$ and wavelength 100 m

3. moving along +x-direction with frequency ${10}^6 \mathrm{Hz}$ and wavelength 200 m

4. moving along - x-direction with frequency ${10}^6 \mathrm{Hz}$ and wavelength 200 nm

The velocity of electromagnetic radiation in a medium of permittivity \(\varepsilon_0\) and permeability \(\mu_0\) is given by:
1. \(\sqrt{\frac{\varepsilon_{0}}{\mu_{0}}}\)
2. \(\sqrt{\mu_0 \varepsilon_0}\)
3. \(\frac{1}{\sqrt{\mu_0 \varepsilon_0}}\)
4. \(\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}}\)

Which one of the following pairs of statements is correct?
1. (3) and (4)
2. (1) and (2)
3. (2) and (3)
4. (1) and (3)

Which of the following statements is false for the properties of electromagnetic waves?

1. Both electric and magnetic field vectors attain the maxima and minima at the same place and the same time

2. The energy in an electromagnetic wave is divided equally between electric and magnetic vectors 

3. Both electric and magnetic field vectors are parallel to each other and perpendicular to the direction of propagation of the wave

4. These waves do not require any material medium for propagation

The ratio of the amplitude of the magnetic field to the amplitude of electric field for an electromagnetic wave propagating in vacuum is equal to

(1) the speed of light in vacuum

(2) reciprocal of speed of light in vacuum

(3) the ratio of magnetic permeability to the electric susceptibility of vacuum

(4) unity

The electric field associated with an electromagnetic wave in vacuum is given by \(E=40 \cos \left(k z-6 \times 10^8 t\right)\), where \(E\), \(z\), and \(t\) are in volt/m, meter, and second respectively. The value of the wave vector \(k\) would be:
1. \(2~\text{m}^{-1}\)
2. \(0.5~\text{m}^{-1}\)
3. \(6~\text{m}^{-1}\)
4. \(3~\text{m}^{-1}\)     

The energy of the EM wave is of the order of \(15\) KeV. To which part of the spectrum does it belong?
1. \(X\text-\)rays
2. Infrared rays
3. Ultraviolet rays
4. \(\gamma\text-\)rays

Out of the following options which one can be used to produce a propagating electromagnetic wave?

1. A stationary charge               

2. A chargeless particle

3. An accelerating charge         

4. A charge moving at constant velocity

In a E.M.W, phase difference between $\overrightarrow{\mathrm{E}}$ and $\overrightarrow{\mathrm{B}}$ is :

1. zero

2. $\mathrm{\pi }/2$

3. $\mathrm{\pi }$

4. $\mathrm{\pi }/3$