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.

The velocity of electromagnetic wave is parallel to:

1. $\overrightarrow{\mathrm{B}}\times \overrightarrow{\mathrm{E}}$

2. $\overrightarrow{E}\times \overrightarrow{B}$

3. $\overrightarrow{\mathrm{E}}$

4. $\overrightarrow{\mathrm{B}}$

An electromagnetic radiation has an energy \(14.4~\text{keV}\). To which region of the electromagnetic spectrum does it belong?

An EM wave is propagating in a medium with a velocity \(\overrightarrow{{v}}={v} \hat{i}\). The instantaneous oscillating electric field of this EM wave is along the \(+y\) axis. The direction of the oscillating magnetic field of the EM wave will be along:
1. \(-z \text-\)direction
2. \(+z \text-\) direction
3. \(-y \text-\) direction
4.  \(+y \text-\) direction

The charge of a parallel plate capacitor is varying as $q=q_0\sin \omega t$. 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 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 S.I. unit of displacement current is:
1. Henry
2. Coulomb
3. Ampere
4. Farad

Consider an electric charge oscillating with a frequency of 10 MHz. The radiation emitted will have a wavelength equal to:

A variable frequency AC source is connected to a capacitor. Then on increasing the frequency:

Instantaneous displacement current of 2.0 A is set up in the space between two parallel plates of \(1~\mu F\)$$ capacitor. The rate of change in potential difference across the capacitor is:

1. $3\times {10}^6$ $V/s$

2. $4\times {10}^6$ $V/s$

3. $2\times {10}^6$ $V/s$

4. None of these