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

A larger parallel plate capacitor, whose plates have an area of \(1~\text{m}^2,\) 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. \(25~\mu\text{A}\)
2. \(11~\mu\text{A}\)
3. \(2.2~\mu\text{A}\)
4. \(1.1~\mu\text{A}\)

The most penetrating radiation out of the following is:
1. x-rays
2. β-rays
3. $\alpha$-rays
4. γ-rays

Which of the following statements is false regarding the properties of electromagnetic waves?

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

1. \(1\times 10^{8}\) m/s

2. \(2.5\times 10^{8}\) m/s

3. \(3\times 10^{8}\) m/s

4. \(2\times 10^{8}\) m/s

In an electromagnetic wave, energy density associated with a magnetic field will be:

1. $\frac{1}{2}L{I}^2$

2. $\frac{B^2}{2{\mu }_0}$

3. $\frac{1}{2}{\mu }_0{B}^2$

4. $\frac{1}{2}\frac{q}{B^2}$

The figure shows a parallel plate capacitor being charged by a battery. If \(X\) and \(Y\) are two closed curves then during charging, \(\oint \vec{B} . \vec{dl}\) is zero along the curve:

A plane electromagnetic wave travels in free space along \(x\text-\)axis. At a particular point in space, the electric field along \(y\text-\)axis is \(9.3~\text{Vm}^{-1}.\) The magnetic induction is:
1. \(3.1\times 10^{-8}~\text{T}\)
2. \(3\times 10^{-5}~\text{T}\)
3. \(3\times 10^{-6}~\text{T}\)
4. \(9.3\times 10^{-6}~\text{T}\)