A parallel plate capacitor consists of two circular plates each of radius \(2~\text{cm}\), separated by a distance of \(0.1~\text{mm}\). If the voltage across the plates is varying at the rate of $\mathrm{}$\(5\times10^{13}~\text{V/s}\), then the value of displacement current is:
1. \(5.50~\text{A}\)
2. \(5.56\times 10^{2}~\text{A}\)
3. \(5.56\times 10^{3}~\text{A}\)
4. \(2.28\times 10^{4}~\text{A}\)

In an electromagnetic wave:

The frequency \(1057~\text{MHz}\) of radiation arising due to electron transition between two close energy levels in hydrogen belongs to:
1. radio waves
2. infrared waves
3. microwaves
4. \(\gamma-\)rays

A larger parallel plate capacitor, whose plates have an area of 1 $m^2$, separated from each other by 1 mm, is being charged at a rate of 25.8 V/s. If the plates have dielectric constant 10, then the displacement current at this instant is:

1. 25 $\mu A$

2. 11 $\mu A$

3. 2.2 $\mu A$

4. 1.1 $\mu A$

A parallel plate capacitor with plate area \(A\) and separation between the plates \(d\), is charged by a source having current \(i\) at some instant. Consider a plane surface of area \(A/2\) parallel to the plates and drawn symmetrically between the plates. The displacement current through this area is:
1. \(i\) 
2. \(i/2\) 
3. \(i/4\) 
4. \(i/8\)

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$\times {10}^5$ $W$

In an electromagnetic wave, if the electric field oscillated sinusoidally with an amplitude of 48 V$m^{-1}$, then 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. $11.3\times {10}^{-8}$ $T$

The speed of an electromagnetic wave in a medium of dielectric constant 2.25 and relative permeability 4 is approximately:

1. 1 x 10⁸ m/s

2. 2.5 x 10⁸ m/s

3. 3 x 10⁸ m/s

4. 2 x 10⁸ m/s

The electric field part of an electromagnetic wave in a medium is represented by :

${\mathrm{E}}_{\mathrm{x}}=0;$
${\mathrm{E}}_{\mathrm{y}}=(2.\mathrm{5 }\frac{\mathrm{N}}{\mathrm{C}}\mathrm{)cos}\left[\left(2\mathrm{\pi }\times {10}^6\frac{\mathrm{rad}}{s}\right)\mathrm{t}\right]$ $-\left(\mathrm{\pi }\times {10}^{-2}\frac{\mathrm{rad}}{m}\right)\mathrm{x}$
${\mathrm{E}}_{\mathrm{z}}=0.$
$\mathrm{The}$ $\mathrm{wave}$ $\mathrm{is:}$

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