Q. No.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. \(9.3\times 10^{-6}~\text{T}\)
| 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. \(\vec{B}\)
| Assertion (A): | Light can travel in vacuum but sound cannot do so. |
| Reason (R): | Light is an electromagnetic wave and sound is a mechanical wave. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
| 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. | \(\left[{E}={E}_0 \hat{i}, ~{B}={{B}_0} \hat{j}\right]\) |
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 |
Consider an oscillator which has a charged particle oscillating about its mean position with a frequency of \(300\) MHz. The wavelength of electromagnetic waves produced by this oscillator would be:
1. \(1\) m
2. \(10\) m
3. \(100\) m
4. \(1000\) m
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