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:
1. \(0.2~\text{m}\) 2. \(0.3~\text{m}\)
3. \(0.1~\text{m}\) 4. \(0.15~\text{m}\)
Subtopic:  Properties of EM Waves |
From NCERT
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The orange colour of a carrot is due to the presence of the \(\beta\)-carotene molecule. This means that the \(\beta\)-carotene molecule absorbs light at wavelengths that are:
1. longer than \(550~\text{nm}\)
2. shorter than \(550~\text{nm}\)
3. longer than \(700~\text{nm}\)
4. shorter than \(700~\text{nm}\)

Subtopic:  Electromagnetic Spectrum |
From NCERT
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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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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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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 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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The magnetic field in a plane electromagnetic wave is given by; 
    \(B=2\times10^{-7} \sin\left(0.5\times10^3x+10^{11}t\right)~\text{T}.\)
The electromagnetic wave is:
1. visible light  2. infrared 
3. microwave 4. radio wave
Subtopic:  Electromagnetic Spectrum |
From NCERT
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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:  Properties of EM Waves |
From NCERT
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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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