If an electromagnetic wave going through a medium is given by; 
\(E=E_{0}\sin\left ( kx-\omega t \right )\) and \(B=B_{0}\sin\left ( kx-\omega t \right ),\) then:

1.	\(E_0k = B_0 \omega\)
2.	If the electric field is in the \(z\text-\)direction then the magnetic field should be in the \(-y\text-\)direction
3.	Both 1 and 2 are correct
4.	Only 1 is correct

A plane E M wave of frequency 25 MHz travels in free space in the x-direction. At a particular point in space and time $E=6.3 \hat{j} V/m$ then B at the point is 

(1) $2.1\times {10}^{-8} -\hat{k}$

(2) $2.1\times {10}^{-8} \hat{k}$

(3) 2.1 $\hat{k}$

(4) $2.1\times {10}^{-8} \hat{i}$

In an electromagnetic wave, the amplitude of the electric field is \(1~\text{V/m}.\) The frequency of a wave is \(5\times 10^{14}~\text{Hz}.\) The wave is propagating along the \(z\text-\)axis. The average energy density of the electric field in \(\text{J/m}^3,\) will be:
1. \(2.2\times 10^{-12}\)
2. \(4.4\times 10^{-12}\)
3. \(6.6\times 10^{-12}\)
4. \(8.8\times 10^{-12}\)

The infra-red spectrum lies between :

(1) radio wave and microwave region

(2) the micro-wave and visible region

(3) the visible and ultraviolet region

(4) the ultraviolet and the X-ray region

Which of the following electromagnetic waves has minimum frequency?
1. Radio waves
2. Infrared waves
3. Microwaves
4. X-rays

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:
1. \(1.34\) V/m
2. \(2.68\) V/m
3. \(4.02\) V/m
4. \(5.36\) V/m

A parallel plate capacitor consists of two circular plates each of radius 2 cm, separated by a distance of 0.1 mm. If the voltage across the plates is varying at the rate of $5\times {10}^{13}$ V/s, then the value of displacement current is :

(1) 5.50 A

(2) $5.56\times {10}^2 A$

(3) 5.56$\times {10}^3$ A

(4) $2.28\times {10}^4 A$

In an electromagnetic wave, the direction of the magnetic field induction $\overrightarrow{B}$ is

(1) parallel to electric field $\overrightarrow{E}$

(2) perpendicular to electric field $\overrightarrow{E}$

(3) antiparallel to Poynting vector $\overrightarrow{S}$

(4) random