Which of the following statements is false regarding 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

An electromagnetic wave is propagating along Y-axis. Then:

(1) The oscillating electric field is along X-axis and the oscillating magnetic field is along Y-axis.

(2) The oscillating electric field is along Z-axis and the oscillating magnetic field is along X-axis.

(3) Both oscillating electric and magnetic fields are along Y-axis, but the phase difference between them is ${90}^{°}$

(4) Both oscillating electric and magnetic fields are mutually perpendicular in arbitrary directions.

In a plane E.M. wave, the electric field oscillates sinusoidally at a frequency of 2.5 $\times {10}^{10}$ Hz and amplitude 480 V/m.  The amplitude of the oscillating magnetic field will be:

(1) $1.52\times {10}^{-8} Wb/m^2$

(2) $1.52\times {10}^{-7} Wb/m^2$

(3) $1.6\times {10}^{-6} Wb/m^2$

(4) $1.6\times {10}^{-7} Wb/m^2$

The charge of a parallel plate capacitor is varying as $q=q_0 \sin \omega t$.  Then find the magnitude of displacement current through the capacitor.  (Plate Area = A, separation of plates = d)

(1) $q_0 \cos \left(\omega t\right)$                      (2) $q_0\omega \sin \omega t$

(3) $q_0\omega \cos \omega t$                     (4) $\frac{q_{0}A\omega }{d}\cos \omega t$

The most penetrating radiation out of the following is:
1. \(X\text-\)rays
2. \(\beta\text-\)rays
3. \(\alpha\text-\)rays
4. \(\gamma\text-\)rays

The direction of propagation of the electromagnetic wave is the same as that of (Here $\overrightarrow{E}$=electric field vector and $\overrightarrow{B}$=magnetic field vector):

(1) $\overrightarrow{E}\times \overrightarrow{B}$

(2) $\overrightarrow{B}\times \overrightarrow{E}$

(3) $\overrightarrow{E}$

(4) $\overrightarrow{B}$

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) ${10}^{-6} V/s$

The energy density of the electromagnetic wave in vacuum is given by the relation

(1) $\frac{1}{2}.\frac{E^2}{{\epsilon }_0}+\frac{B^2}{2{\mu }_0}$                 (2) $\frac{1}{2}{\epsilon }_0{E}^2+\frac{1}{2}{\mu }_0{B}^2$

(3) $\frac{E^2+B^2}{C}$                           (4) $\frac{1}{2}{\epsilon }_0{E}^2+\frac{B^2}{2{\mu }_0}$

The relation between electric field E and magnetic field induction B in an electromagnetic waves

(1) $E=\sqrt{\frac{{\mu }_0}{{\epsilon }_0}} B$                     (2) E = cB

(3) E = $\frac{B}{c}$                                (4) $E=\frac{B}{c^2}$

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