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1.

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

2.

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

3.

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. \(3~\text{m}^{-1}\)     

4.

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
 

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

1.	The wavelength \(\lambda\) is \(188.4~\text{m}\).
2.	The wave number \(k\) is \(0.33~\text{rad/m}.\)
3.	The wave amplitude is \(10~\text{V/m}\).
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)

6.

Which of the following rays are not electromagnetic waves?
1. $\mathrm{\gamma }$-rays
2. $\mathrm{\beta }$-rays
3. Heat rays
4. X-rays

7.

Displacement current is the same as:

1.	Conduction current due to the flow of free electrons
2.	Conduction current due to the flow of positive ions
3.	Conduction current due to the flow of both positive and negative free charge carriers
4.	It is not a conduction current but is caused by the time-varying electric field

8.

The rate of change of the voltage of a parallel plate capacitor if the instantaneous displacement current of 1 A is established between the two plates of a 1 $\mu$F parallel plate capacitor:
1. ${10}^6 V/s$
2. 10 V/s
3. ${10}^8 V/s$ 
4. ${10}^{-6} V/s$

9.

An electromagnetic wave going through the vacuum is described by $E=E_0\sin (kx-\omega t).$
Which is the following is/are independent of the wavelength?

1.	\(k\)	2.	\(k \over \omega\)
3.	\(k \omega\)	4.	\( \omega\)

10.

The sun delivers ${10}^3 W/m^2$ of electromagnetic flux to the earth's surface. The total power that is incident on a roof of dimensions 8 m$\times$20 m will be
(1) $2.56\times {10}^4 W$
(2) $6.4\times {10}^5 W$
(3) $4.0\times {10}^5 W$
(4) 1.6$\times {10}^5 W$

11.

A plane EM-wave of wave intensity of 10 $W/m^2$ strikes a small mirror of area 20 $c{m}^2$, held perpendicular to the approaching wave. The radiation force on the mirror will be
(1) $6.6\times {10}^{-11} N$
(2) $1.33\times {10}^{-11} N$
(3) $1.33\times {10}^{-10} N$
(4) $6.6\times {10}^{-10} N$

12.

In an electromagnetic wave, the electric field oscillates sinusoidally with amplitude 48 V$m^{-1}$, the RMS value of the oscillating magnetic field will be :
(1) $1.6\times {10}^{-8} T$
(2) $1.6\times {10}^{-9} T$
(3) $144\times {10}^{-8} T$
(4) $11.3\times {10}^{-8} T$

13. The magnetic field in a plane electromagnetic wave is given by 
\(B_{z} = 2 \times10^{- 7}\sin\left(0 . 5 \times10^{3} x - 1 . 5 \times10^{11} t \right)~\text{T} \).
The expression for the electric field will be:

1.	\(E_z=30 \sqrt{2} \sin \left(0.5 \times 10^3 x-1.5 \times 10^{11} t\right)~\text{V/m}\)
2.	\(E_z=60 \sin \left(0.5 \times 10^3 x-1.5 \times 10^{11} t\right)~\text{V/m}\)
3.	\(E_y=30 \sqrt{2} \sin \left(0.5 \times 10^{11} x-1.5 \times 10^3 t\right)~\text{V/m}\)
4.	\(E_y=60 \sin \left(0.5 \times 10^3 x-1.5 \times 10^{11} t\right)~\text{V/m}\)