If an electromagnetic wave propagating through vacuum is described by \(E_y= E_0 \sin(kx-\omega t); ~B_z= B_0\sin(kx-\omega t),\) then:
1. \(E_0k=B_0\omega\)
2. \(E_0B_0 = \omega k\)
3. \(E_0\omega= B_0k\)
4. \(E_0B_0= \frac{\omega}{k}\)

Subtopic:  Properties of EM Waves |
 78%
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A charged particle oscillates about its mean equilibrium position with a frequency of \(10^9 \text{ Hz}\). The electromagnetic waves produced:

(a) will have frequency of \(2×10^9 \text{ Hz}\)
(b) will have frequency of \(10^9 \text{ Hz}\)
(c) will have wavelength of \(0.3\) m
(d) fall in the region of radiowaves

Choose the correct options:

1. (a), (b), (c) 2. (a), (c), (d)
3. (b), (c), (d) 4. (c), (d)
Subtopic:  Properties of EM Waves |
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The source of electromagnetic waves can be a charge:

(a) moving with a constant velocity
(b) moving in a circular orbit
(c) at rest
(d) falling in an electric field
Choose the correct options:
1. (b), (d)
2. (a), (c)
3. (b), (c)
4. (c), (d)

Subtopic:  Generation of EM Waves |
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An EM wave of intensity \(I\) falls on a surface kept in a vacuum and exerts radiation pressure \(P\) on it. Which of the following are true?

(a) Radiation pressure is \(\frac{I}{c}\) if the wave is totally absorbed.
(b) Radiation pressure is \(\frac{I}{c}\) if the wave is totally reflected.
(c) Radiation pressure is \(\frac{2I}{c}\) if the wave is totally reflected.
(d) Radiation pressure is in the range \(\frac{I}{c}<P<\frac{2I}{c}\) for real surfaces.

Choose the correct one from the given options:

1. a, b and c      2. b, c and d    
3. a, c and d 4. c and d
Subtopic:  Properties of EM Waves |
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One requires \(11\) eV of energy to dissociate a carbon monoxide molecule into carbon and oxygen atoms. The minimum frequency of the appropriate electromagnetic radiation to achieve the dissociation lies in:
1. visible region
2. infrared region
3. ultraviolet region
4. microwave region

Subtopic:  Electromagnetic Spectrum |
 60%
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A linearly polarised electromagnetic wave given as E=E0 i^ cos (kz-ωt) is incident normally on a perfectly reflecting infinite wall at z = a. Assuming that the material of the wall is optically inactive, the reflected wave will be given as:

1. Er=-E0i^cos(kz-ωt)

2. Er=E0i^cos(kz+ωt)

3. Er=-E0i^cos(kz+ωt)

4. Er=E0i^sin(kz-ωt)

Subtopic:  Properties of EM Waves |
 56%
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Light with an energy flux of \(20~\text{W/cm}^2\) falls on a non-reflecting surface at normal incidence. If the surface has an area of \(30~\text{cm}^2\), the momentum delivered (for complete absorption) during \(30\) minutes is:
1. \(36\times10^{-5}~\text{kg-m/s}\)
2. \(36\times10^{-4}~\text{kg-m/s}\)
3. \(108\times10^{4}~\text{kg-m/s}\)
4. \(1.08\times10^{7}~\text{kg-m/s}\)

Subtopic:  Properties of EM Waves |
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The electric field produced by the radiations coming from \(100~\text{W}\) bulb at a \(3~\text{m}\) distance is \(E\). The electric field intensity produced by the radiations coming from \(50~\text{W}\) bulb at the same distance is:
1. \(\dfrac{E}{2}\)
2. \(2E\)
3. \(\dfrac{E}{\sqrt2}\)
4. \(\sqrt2E\)

Subtopic:  Properties of EM Waves |
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If E and B represent electric and magnetic field vectors of the electromagnetic wave, the direction of propagation of the electromagnetic wave is along:

1. E

2. B

3. B x E

4. E x B

Subtopic:  Properties of EM Waves |
 89%
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The ratio of contributions made by the electric field and magnetic field components to the intensity of an EM wave is:

1. c : 1

2. c2 : 1

3. 1 : 1

4. c : 1

Subtopic:  Properties of EM Waves |
 80%
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