The electric field of an electromagnetic wave in free space is given by $\overrightarrow{\mathbf{E}}=10$ $\cos ({10}^{7}t+kx)\hat{\mathbf{j}}$ $\mathrm{V}/\mathrm{m},$ where t and x are in seconds and meters respectively. It can be inferred that:

1.	The wavelength  λ  is 188.4 m.
2.	The wave number k is 0.33 rad/m.
3.	The wave amplitude is 10 V/m.
4.	The wave is propagating along +x direction

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)  

The velocity of electromagnetic radiation in a medium of permittivity ${\epsilon }_0$ and permeability ${\mu }_0$ is given by:

1. $\sqrt{\frac{{\epsilon }_o}{{\mu }_o}}$

2. $\sqrt{{\mu }_o{\epsilon }_o}$

3. $\frac{1}{\sqrt{{\mu }_o{\epsilon }_o}}$

4. $\sqrt{\frac{{\mu }_o}{{\epsilon }_o}}$

A wave is propagating in a medium of electric dielectric constant 2 and relative magnetic permeability 50. The wave impedance of such a medium is

(1) 5 Ω

(2) 376.6 Ω

(3) 1883 Ω

(4) 3776 Ω

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 decreasing order of the wavelength of infrared, microwave, ultraviolet and gamma rays is

(1) gamma rays, ultraviolet, infrared, microwaves

(2) microwaves, gamma rays, infrared, ultraviolet

(3) infrared, microwave, ultraviolet, gamma rays

(4) microwave, infrared, ultraviolet, gamma rays

The electric and the magnetic field, associated with an electromagnetic wave, propagating along the +z-axis, can be represented by:

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 \(\mathrm{E}=40 \cos \left(k z-6 \times 10^8 t\right)\), where E, z, and t are in volt/m, meter, and second respectively. The value of the wave vector k would be:

1. $2$ $m^{-1}$                               
2. $0.5$ $m^{-1}$
3. $6$ $m^{-1}$                               
4. 3 $m^{-1}$             

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