Which of the following statements about electromagnetic waves is/are correct:

A.	\(X\text-\)rays in a vacuum travel faster than light waves in a vacuum.
B.	The energy of a \(X\text-\)ray photon is greater than that of a light photon.
C.	Light can be polarised but \(X\text-\)rays cannot.

Choose the correct option from the given ones:

1. \(A\) and \(B\) only
2. B and \(C\) only
3. \(A,B,\) and \(C\) only
4. \(B\) only

The magnetic field in a plane EM wave traveling in the positive x-direction is given by 

$\mathrm{B}=\left(100\mathrm{\mu T}\right) \sin \left[\right(2\times {10}^{15}{\mathrm{s}}^{-1}\left)\right(\mathrm{t}-\mathrm{x}/\mathrm{c}\left)\right]\hat{\mathrm{j}}$

The equation for electric field is :

1. E=100sin [(2$\times {10}^{15}{s}^{-1})$(t-x/c)]$\left(-\hat{k}\right)$

2. E=(3$\times {10}^{10} \mu V/m$)sin [(2$\times {10}^{15}{s}^{-1})$(t-x/c)]$\left(-\hat{k}\right)$

3. E=3$\times {10}^{10}$sin [(2$\times {10}^{15}{s}^{-1})$(t-x/c)] $\hat{k}$

4. E=100sin [(2$\times {10}^{15}{s}^{-1})$(t-x/c)] $\hat{k}$

Statement I: A changing electric field produces a magnetic field.

Statement II: A changing magnetic field produces an electric field.

(1) If both statement-I and Statement-II are true, and Statement-II is the correct explanation of Statement-I.

(2) If both Statement-I and Statement-II are true but Statement-II is not the correct explanation of Statement-I.

(3) If Statement-I is true but Statement-II is false.

(4) If Statement-I is false but Statement-II is true.

Statement-I: Gamma rays are more energetic than X-rays.

Statement-II: Gamma rays are of nuclear origin but X-rays are produced due to sudden deceleration of high energy electrons while falling on a metal of high atomic number.

(1) If both statement-I and Statement-II are true, and Statement-II is the correct explanation of Statement-I.

(2) If both Statement-I and Statement-II are true but Statement-II is not the correct explanation of Statement-I.

(3) If Statement-I is true but Statement-II is false.

(4) If Statement-I is false but Statement-II is true.

The S.I. unit of displacement current is:
1. Henry
2. Coulomb
3. Ampere
4. Farad

The relation between electric field E and magnetic field intensity H in an electromagnetic wave is:

(1) E = H

(2) $E=\frac{{\mu }_0}{{\epsilon }_0}H$

(3) $E=\sqrt{\frac{{\epsilon }_0}{{\mu }_0}}H$

(4) $E=\sqrt{\frac{{\mu }_0}{{\epsilon }_0}}H$

An electromagnetic wave going through Vaccum is described by

$E=E_0\sin (kx-\omega t)$
$B=B_0\sin (kx-\omega t)$

(1) $E_0{B}_0=\omega k$

(2) $E_0\omega =B_{0}k$

(3) $E_{0}k=B_0\omega$

(4) none of these

The ratio of $\frac{E_0}{H_0}$ for a plane electromagnetic wave has the dimension of

(1) Impedance

(2) Resistance

(3) Both 

(4) None

A plane E M wave of frequency 25 MHz travels in free space in the x-direction. At a particular point in space and time $E=6.3 \hat{j} V/m$ then B at the point is 

(1) $2.1\times {10}^{-8} -\hat{k}$

(2) $2.1\times {10}^{-8} \hat{k}$

(3) 2.1 $\hat{k}$

(4) $2.1\times {10}^{-8} \hat{i}$