The decreasing order of wavelengths of infrared, microwave, ultraviolet, and gamma rays is

1.  gamma rays, ultraviolet, infrared, microwaves

2.  microwaves, gamma rays, infrared, ultraviolet

3.  infrared, microwave, ultraviolet, gamma rays

4.  microwave, infrared, ultraviolet, gamma rays

For a transparent medium, relative permeability and permittivity,\(\mu_r~\text{and}~\varepsilon_r\) are \(1.0\) and \(1.44\) respectively. The velocity of light in this medium would be:
1. \(2.5\times10^{8}~\text{m/s}\)
2. \(3\times10^{8}~\text{m/s}\)
3. \(2.08\times10^{8}~\text{m/s}\)
4. \(4.32\times10^{8}~\text{m/s}\)

A 100 $\Omega$resistance and a capacitor of 100 $\Omega$ reactance are connected in series across a 220 V source. When the capacitor is 50% charged, the peak value of the displacement current is:

1.  2.2 A

2.  11 A

3.  4.4 A

4.  11$\sqrt{2}$ A

The electric and the magnetic fields, associated with an electromagnetic wave, propagating along the +z-axis, can be represented by:

1.  $\left[\mathrm{E}={\mathrm{E}}_0 \hat{\mathrm{k}}, \mathrm{B}={\mathrm{B}}_0 \hat{\mathrm{i}}\right]$

2.  $\left[\mathrm{E}={\mathrm{E}}_0 \hat{\mathrm{j}}, \mathrm{B}={\mathrm{B}}_0 \hat{\mathrm{j}}\right]$

3.  $\left[\mathrm{E}={\mathrm{E}}_0 \hat{\mathrm{j}}, \mathrm{B}={\mathrm{B}}_0 \hat{\mathrm{k}}\right]$

4.  $\left[\mathrm{E}={\mathrm{E}}_0 \hat{\mathrm{i}}, \mathrm{B}={\mathrm{B}}_0 \hat{\mathrm{j}}\right]$

The dimension of $\frac{1}{2}{\epsilon }_0{E}^2$ where ${\epsilon }_0$ is the permittivity of free space and E is the electric field, is

1. [ML²T^-2]

2. [ML^-1T^-2]

3.  [ML²T^-1]

4.  [MLT^-1]

The intensity of visible radiation at a distance of 1 m from a bulb of 100 W which converts only 5% its power into light is :

(1) 0.4 $W/m^2$             (2) 0.5 $W/m^2$

(3) 0.1 $W/m^2$             (4) 0.01 $W/m^2$

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

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

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$\times {10}^{10}$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)] $\hat{k}$

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

${\mathrm{E}}_{\mathrm{x}}=0;$
${\mathrm{E}}_{\mathrm{y}}=2.5\frac{\mathrm{N}}{\mathrm{C}}\cos \left[\left(2\mathrm{\pi }\times {10}^6\frac{\mathrm{rad}}{s}\right)\mathrm{t} -\left(\mathrm{\pi }\times {10}^{-2}\frac{\mathrm{rad}}{m}\right)\mathrm{x}\right]$
${\mathrm{E}}_{\mathrm{z}}=0.$
$\mathrm{The} \mathrm{wave} \mathrm{is}-$

1. moving along y-direction with frequency $2\mathrm{\pi }\times {10}^6 \mathrm{Hz}$ and wavelength 200 m.

2. moving along +x-direction with frequency ${10}^6 \mathrm{Hz}$ and wavelength 100 m

3. moving along +x-direction with frequency ${10}^6 \mathrm{Hz}$ and wavelength 200 m

4. moving along - x-direction with frequency ${10}^6 \mathrm{Hz}$ and wavelength 200 nm

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.