A plane electromagnetic wave travels in a vacuum along the \({z\text{-}}\)direction. Then the directions of its electric and magnetic field vectors will be:

1. in the \({x\text{-}y}\) plane and they are parallel to each other.
2. in the \({x\text{-}y}\) plane and they are mutually perpendicular to each other.
3. in the \({y\text{-}z}\) plane and they are mutually perpendicular to each other.
4. in the \({z\text{-}x}\) plane and they are parallel to each other.

Subtopic:  Properties of EM Waves |
 89%
From NCERT
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A radio can tune in to any station in the \(7.5\) MHz to \(12\) MHz bands. What is the corresponding wavelength band?
1. \(40\) to \(25\) m
2. \(10\) to \(100\) m
3. \(50\) to \(60\) m
4. \(20\) to \(10\) m

Subtopic:  Electromagnetic Spectrum |
 75%
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A charged particle oscillates about its mean equilibrium position with a frequency of \(10^9\) Hz. What is the frequency of the electromagnetic waves produced by the oscillator?
1. \(10^{11}\) Hz
2. \(10^7\) Hz
3. \(10^8\) Hz
4. \(10^9\) Hz

Subtopic:  Generation of EM Waves |
 78%
From NCERT
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Which physical quantity does not change in vacuum for X-rays?

1. speed of light 2. wavelength
3. frequency 4. none of these
Subtopic:  Electromagnetic Spectrum |
From NCERT
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The amplitude of the magnetic field part of a harmonic electromagnetic wave in a vacuum is \(B_0=510~\text{nT}\)What is the amplitude of the electric field part of the wave?
1. \(200~\text{N/C}\)
2. \(153~\text{N/C}\)
3. \(150~\text{N/C}\)
4. \(510~\text{N/C}\)

Subtopic:  Properties of EM Waves |
 85%
From NCERT
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Suppose that the electric field amplitude of an electromagnetic wave is \(E_0 = 120~\text{N/C}\) and that its frequency is \(\nu = 50.0~\text{MHz}\). The value of \(k\) is:
1. \(2.01~\text{rad/m}\)
2. \(1.72~\text{rad/m}\)
3. \(1.05~\text{rad/m}\)
4. \(2.41~\text{rad/m}\)

Subtopic:  Generation of EM Waves |
 68%
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In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of \(2.0\times 10^{10}~\text{Hz}\) and amplitude \(48~\text{V/m}\). What is the amplitude of the oscillating magnetic field?
1. \(4.2\times 10^{-8}~\text{T}\)
2. \(2.4\times 10^{-7}~\text{T}\)
3. \(3.8\times 10^{-8}~\text{T}\)
4. \(1.6\times 10^{-7}~\text{T}\)

Subtopic:  Properties of EM Waves |
 75%
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The electric field part of an electromagnetic wave in vacuum is,
\(\vec{E}=(3.1 \mathrm{~N} / \mathrm{C}) \cos \left[(1.8~ \mathrm{rad} / \mathrm{m}) y+\left(5.4 \times 10^8 ~\mathrm{rad} / \mathrm{s}\right) \mathrm{t}\right] \hat{i}\).
What is the frequency of the wave?
1. \(5.7\times 10^{7}~\text{Hz}\)
2. \(9.3\times 10^{7}~\text{Hz}\)
3. \(8.6\times 10^{7}~\text{Hz}\)
4. \(7.5\times 10^{7}~\text{Hz}\)
 

Subtopic:  Properties of EM Waves |
 72%
From NCERT
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A parallel plate capacitor made of circular plates each of radius \(R=6.0\) cm has a capacitance \(C=100\) pF. The capacitor is connected to a \(230\) V AC supply with an (angular) frequency of \(300\) rad/s. The amplitude of \(\vec{B}\) at the point \(3\) cm from the axis between the plate is:

       
1. \(1.12\times 10^{-11}\) T
2. \(2.01\times 10^{-12}\) T
3. \(1.63\times 10^{-11}\) T
4. \(1.01\times 10^{-12}\) T

Subtopic:  Displacement Current |
From NCERT
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A capacitor is made of two circular plates each of radius \(12~\text{cm}\) and separated by \(5.0~\text{cm}\). The capacitor is being charged by an external source. The charging current is constant and equal to \(0.15~\text{A}\). The displacement current across the plates is:
1. \(0\)
2. \(0.14~\text{A}\)
3. \(0.16~\text{A}\)
4. \(0.15~\text{A}\)

Subtopic:  Displacement Current |
 71%
From NCERT
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