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:
1. \(\dfrac {E_0} {\sqrt 2}\) 2. \(E_0\)
3. \(\sqrt 2 E_0\) 4. \(\sqrt 3 E_0\)
Subtopic:  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:  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:  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 \(\beta,\)
1. cannot be less than \(1\).
2. equals \(1\), always.
3. cannot be greater than \(1\).
4. can be any non-zero value.
Subtopic:  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:  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:
1. \(\hat j\) 2. \(\hat k\)
3. \(\hat j + \hat k\) 4. \(\hat j - \hat k\)
Subtopic:  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:  Properties of EM Waves |
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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:  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:  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 
Subtopic:  Properties of EM Waves |
 54%
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