Q. No.An electromagnetic waveform whose electric field is given by:
\(\vec E=(2\times10^{-4}\text{ V/m})\hat j\sin\bigg({\large\frac{2\pi}{0.2~\text m}}\bigg)(x-2\times10^8~\text{m/s }t)\)
is travelling in a region.
When this wave travels into vacuum, its wavelength will be:
\(\vec E=(2\times10^{-4}\text{ V/m})\hat j\sin\bigg({\large\frac{2\pi}{0.2~\text m}}\bigg)(x-2\times10^8~\text{m/s }t)\)
is travelling in a region.
When this wave travels into vacuum, its wavelength will be:
| 1. | \(0.2~\text{m}\) | 2. | \(0.3~\text{m}\) |
| 3. | \(0.1~\text{m}\) | 4. | \(0.15~\text{m}\) |
Subtopic: Â Properties of EM Waves |
Level 4: Below 35%
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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 |
Level 3: 35%-60%
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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 |
Level 3: 35%-60%
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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 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. \(\dfrac{\sqrt3P}{2c}\)
1. \(\dfrac{P}{c}\)
2. \(\dfrac{P}{2c}\)
3. \(\dfrac{\sqrt3P}{c}\)
4. \(\dfrac{\sqrt3P}{2c}\)
Subtopic: Â Properties of EM Waves |
Level 3: 35%-60%
Hints
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 |
Level 3: 35%-60%
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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 |
Level 3: 35%-60%
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Two perfectly black bodies of the same diameter, a sphere, and a disc, are placed in front of a uniform beam of light. The plane of the disc is perpendicular to the light rays. The force acting upon them by the light is:
| 1. | zero. |
| 2. | bigger on the disc. |
| 3. | bigger on the sphere. |
| 4. | the same on both. |
Subtopic: Â Properties of EM Waves |
Level 3: 35%-60%
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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 |
 53%
Level 3: 35%-60%
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If the ratio of relative permeability and relative permittivity of a uniform medium is \(1 : 4.\) The ratio of the magnitudes of electric field intensity \((E)\) to the magnetic field intensity \((H)\) of an EM wave propagating in that medium is:\(\left(\text{Given that}\sqrt{\frac{\mu_0}{\varepsilon_0}}=120\pi\right)\)
| 1. | \(30\pi:1\) | 2. | \(1:120\pi\) |
| 3. | \(60\pi:1\) | 4. | \(120\pi:1\) |
Subtopic: Â Properties of EM Waves |
Level 3: 35%-60%
NEET - 2024
Hints
An electromagnetic wave given by:
\(\vec E=E_0(\hat i+\hat j)\sin(\omega t-kz)\)
is travelling in space, where \(\vec E\) is the electric field at \((x,y,z)\) at time \(t.\)
The electric field is along the vector:
1. \(\hat i+\hat j\)
2. \(\hat i-\hat j\)
3. \(\hat k\)
4. \(\hat i+\hat j+\hat k\)
\(\vec E=E_0(\hat i+\hat j)\sin(\omega t-kz)\)
is travelling in space, where \(\vec E\) is the electric field at \((x,y,z)\) at time \(t.\)
The electric field is along the vector:
1. \(\hat i+\hat j\)
2. \(\hat i-\hat j\)
3. \(\hat k\)
4. \(\hat i+\hat j+\hat k\)
Subtopic: Â Properties of EM Waves |
 53%
Level 3: 35%-60%
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