The Maxwell's equation;
\(\oint \vec{B} . \vec{dl} = \mu_{0} \left(i + \varepsilon_{0} . \frac{d \left(\phi\right)_{E}}{d t}\right)\) is a statement of:
1. Faraday's law of induction
2. Modified Ampere's law
3. Gauss's law of electricity
4. Gauss's law of magnetism

The condition under which a microwave oven heats up a food item containing water molecules most efficiently is:

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

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. \(\gamma\text-\)rays

A larger parallel plate capacitor, whose plates have an area of \(1~\text{m}^2,\) separated from each other by \(1~\text{mm},\) is being charged at a rate of \(25.8~\text{V/s}.\) If the plates have a dielectric constant \(10,\) then the displacement current at this instant is:
1. \(25~\mu\text{A}\)
2. \(11~\mu\text{A}\)
3. \(2.2~\mu\text{A}\)
4. \(1.1~\mu\text{A}\)

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. \(\dfrac{i}{2}\) 
3. \(\dfrac{i}{4}\) 
4. \(\dfrac{i}{8}\)