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. \(\sqrt{\frac{\mu_{0}}{\varepsilon_{0}}}\)
The magnetic field amplitude of an electromagnetic wave is \(2\times 10^{-7}~\text{T}\). Its electric field amplitude if the wave is travelling in free space is:
1. \(6~\text{Vm}^{-1}\)
2. \(60~\text{Vm}^{-1}\)
3. \(\frac{10}{6}~\text{Vm}^{-1}\)
4. None of these
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. | \(9.3\times 10^{-6}~\text{T}\) |
Which statement is incorrect?
1. | Speed of light in free space \(=\frac{1}{\sqrt{\mu_0 \epsilon_0}}\) |
2. | Speed of light in the medium \(=\frac{1}{\sqrt{\mu \epsilon}}\) |
3. | \(\frac{E_0}{B_0}=c\) |
4. | \(\frac{B_0}{E_0}=c\) |
1. | \(20\) m | 2. | \(30\) m |
3. | \(40\) m | 4. | \(10\) m |
The velocity of electromagnetic wave is parallel to:
1. \(\vec{B} \times \vec{E}\)
2. \(\vec{E} \times \vec{B}\)
3. \(\vec {E}\)
4. \(\vec{B}\)
Which of the following statements is false regarding the properties of electromagnetic waves?
1. | Both electric and magnetic field vectors attain the maxima and minima at the same place and the same time |
2. | The energy in an electromagnetic wave is divided equally between electric and magnetic vectors |
3. | Both electric and magnetic field vectors are parallel to each other and perpendicular to the direction of propagation of the wave |
4. | These waves do not require any material medium for propagation |
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 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 |
In an electromagnetic wave, energy density associated with a magnetic field will be:
1.
2.
3.
4.