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Q. No.The electric field of an electromagnetic wave is given by \(\overrightarrow E = E_0 \hat j \cos (\omega t - kx)+ E_0\hat i \sin (\omega t -kx)\).
The maximum value of the electric field in the wave is:
The maximum value of the electric field in the wave is:
| 1. | \(\dfrac {E_0} {\sqrt 2}\) | 2. | \(E_0\) |
| 3. | \(\sqrt 2 E_0\) | 4. | \(\sqrt 3 E_0\) |
Subtopic: Â Properties of EM Waves |
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Given below are two statements:
| Assertion (A): | The fastest speed of propagation of any wave in any medium is the speed of electromagnetic waves in that medium. |
| Reason (R): | All signals can at most travel at the speed of light in a vacuum. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Â Properties of EM Waves |
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A positively charged particle is placed on the \(x\text-\)axis in the path of an electromagnetic wave propagating along the \(x\text-\)axis, with its electric field oscillating along the \(y\text-\)axis. The charged particle will begin to move along:
| 1. | the electric field. |
| 2. | the magnetic field. |
| 3. | the direction of propagation. |
| 4. | the direction between the electric field and the magnetic field. |
Subtopic: Â Properties of EM Waves |
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A plane electromagnetic wave is given by its electric field: \(\vec {E}=\vec {E_0}\cos\dfrac{\omega}{c}(ct-\beta x)\)
where \(\omega\) and \(\beta\) are constants, \(t\) is the time and \(x\) represents the \(x\text-\)coordinate. \(c\) is the speed of the light in vacuum.
The value of \(\beta,\)
where \(\omega\) and \(\beta\) are constants, \(t\) is the time and \(x\) represents the \(x\text-\)coordinate. \(c\) is the speed of the light in vacuum.
The value of \(\beta,\)
| 1. | cannot be less than \(1\). |
| 2. | equals \(1\), always. |
| 3. | cannot be greater than \(1\). |
| 4. | can be any non-zero value. |
Subtopic: Â Properties of EM Waves |
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An incident light beam of power \(P\) falls on a flat surface, at an angle of incidence of \(60^{\circ}.\) \(50\%\) of the beam is absorbed and the remaining reflected. The force exerted on the surface is:
| 1. | \(\dfrac{P}{c}\) | 2. | \(\dfrac{P}{2c}\) |
| 3. | \(\dfrac{\sqrt3P}{c}\) | 4. | \(\dfrac{\sqrt3P}{2c}\) |
Subtopic: Â Properties of EM Waves |
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A plane electromagnetic wave, propagating along the \(x\text-\)axis, has a magnetic field given by \(\vec {B} = B_0 (\hat j + \hat k) \sin (\omega t - kx)\).
The wave is polarised along:
The wave is polarised along:
| 1. | \(\hat j\) | 2. | \(\hat k\) |
| 3. | \(\hat j + \hat k\) | 4. | \(\hat j - \hat k\) |
Subtopic: Â Properties of EM Waves |
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Given below are two statements:
| Statement I: | Electromagnetic waves propagate through all media with a speed \(c=\dfrac{1}{\sqrt{\varepsilon_0\mu_0}}.\) |
| Statement II: | Electromagnetic waves can undergo reflection and refraction. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Â Properties of EM Waves |
 54%
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Given below are two statements:
| Assertion (A): | The maximum speed of electromagnetic wave, considering all possible media, is \(3\times10^8~\text{m/s}.\) |
| Reason (R): | The speed of electromagnetic waves is independent of the medium. |
| 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. |
Subtopic: Â Properties of EM Waves |
 74%
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An electromagnetic wave, propagating along the \(x\)-axis, carries momentum:
| 1. | along \(x\)-axis |
| 2. | along \(y\)-axis |
| 3. | along \(z\)-axis |
| 4. | both along \(y,z\) but not along \(x\)-axis |
Subtopic: Â Properties of EM Waves |
 52%
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The average electric field associated with the plane electromagnetic wave \(\vec E = E_0 \hat {i} \sin (wt - kz)\) is:
1. \(E_0 \hat i\)
2. \(\dfrac {E_0} { \sqrt 2}\) \(\hat i \)
3. \(\sqrt 2E_0 \hat i\)
4. zero
1. \(E_0 \hat i\)
2. \(\dfrac {E_0} { \sqrt 2}\) \(\hat i \)
3. \(\sqrt 2E_0 \hat i\)
4. zero
Subtopic: Â Properties of EM Waves |
 54%
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