The velocity of electromagnetic radiation in a medium of permittivity \(\varepsilon_0\) and permeability \(\mu_0\) is given by:
1. \(\sqrt{\frac{\varepsilon_{0}}{\mu_{0}}}\)
2. \(\sqrt{\mu_0 \varepsilon_0}\)
3. \(\frac{1}{\sqrt{\mu_0 \varepsilon_0}}\)
4. \(\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}}\)
1. | The wavelength \(\lambda\) is \(188.4~\text{m}\). |
2. | The wave number \(k\) is \(0.33~\text{rad/m}.\) |
3. | The wave amplitude is \(10~\text{V/m}\). |
4. | The wave is propagating along \(+x\) direction |
Which one of the following pairs of statements is correct?
1. (3) and (4)
2. (1) and (2)
3. (2) and (3)
4. (1) and (3)
1. | \(\left[{E}={E}_0 \hat{k}, {B}={B}_0 \hat{i}\right]\) |
2. | \(\left[E={E}_0 \hat{j}, ~{B}={{B}_0} \hat{j}\right]\) |
3. | \(\left[{E}={E}_0 \hat{j}, ~{B}={B}_0 \hat{k}\right]\) |
4. | \(\left[{E}={E}_0 \hat{i}, ~{B}={{B}_0} \hat{j}\right]\) |
The electric field associated with an electromagnetic wave in vacuum is given by \(E=40 \cos \left(k z-6 \times 10^8 t\right)\), where \(E\), \(z\), and \(t\) are in volt/m, meter, and second respectively.
The value of the wave vector \(k\) would be:
1. \(2~\text{m}^{-1}\)
2. \(0.5~\text{m}^{-1}\)
3. \(6~\text{m}^{-1}\)
4. \(3~\text{m}^{-1}\)
The energy of the EM wave is of the order of \(15\) KeV. To which part of the spectrum does it belong?
1. \(X\text-\)rays
2. Infrared rays
3. Ultraviolet rays
4. \(\gamma\text-\)rays
Maxwell's equation describes the fundamental laws of:
1. | Electricity only |
2. | Magnetism only |
3. | Mechanics only |
4. | Both (1) and (2) |
An EM wave is propagating in a medium with a velocity \(\overrightarrow{{v}}={v} \hat{i}\). The instantaneous oscillating electric field of this EM wave is along the \(+y\) axis. The direction of the oscillating magnetic field of the EM wave will be along:
1. \(-z \text-\)direction
2. \(+z \text-\) direction
3. \(-y \text-\) direction
4. \(+y \text-\) direction
In an electromagnetic wave in free space, the root mean square value of the electric field is \(E_{\text{rms}} = 6~\text{V/m}\). The peak value of the magnetic field is:
1. \(2.83\times 10^{-8}~\text{T}\)
2. \(0.70\times 10^{-8}~\text{T}\)
3. \(4.23\times 10^{-8}~\text{T}\)
4. \(1.41\times 10^{-8}~\text{T}\)
Out of the following options which one can be used to produce a propagating electromagnetic wave?
1. | a stationary charge. |
2. | a chargeless particle. |
3. | an accelerating charge. |
4. | a charge moving at constant velocity. |
The electric and magnetic fields of an electromagnetic wave are:
1. | In phase and parallel to each other |
2. | In opposite phases and perpendicular to each other |
3. | In opposite phases and parallel to each other |
4. | In phase and perpendicular to each other |