A parallel plate capacitor made of circular plates is being charged such that the surface charge density on its plates is increasing at a constant rate with time. The magnetic field arising due to displacement current is:
1. non-zero everywhere with maximum at the imaginary cylindrical surface connecting peripheries of the plates
2. zero between the plates and non-zero outside
3. zero at all places
4. constant between the plates and zero outside the plates
Subtopic:  Displacement Current |
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The electric field in a plane electromagnetic wave is given by \(E_z=60\cos(5x+1.5\times10^9t)~\text{V/m}.\) Then expression for the corresponding magnetic field is (here subscripts denote the direction of the field):
1. \(B_z=60\cos(5x+1.5\times10^9t)~\text T\)
2. \(B_y=60\sin(5x+1.5\times10^9t)~\text T\)
3. \(B_y=2\times10^{-7}\cos(5x+1.5\times10^9t)~\text T\)
4. \(B_x=2\times10^{-7}\cos(5x+1.5\times10^9t)~\text T\)
Subtopic:  Properties of EM Waves |
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A parallel plate capacitor is charged by connecting it to a battery through a resistor. If \(i\) is the current in the circuit, then in the gap between the plates:

1. A displacement current of magnitude equal to \(i\) flows in the same direction as \(i.\)
2. A displacement current of magnitude equal to \(i\) flows in the opposite direction to \(i.\)
3. A displacement current of magnitude greater than \(i\) flows but it can be in any direction.
4. There is no current.
Subtopic:  Displacement Current |
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The property which is not of an electromagnetic wave travelling in free space is that:
1. the energy density in electric field is equal to energy density in magnetic field.
2. they travel with a speed equal to \(\dfrac{1}{\sqrt{\mu_0~ \varepsilon_0}} .\)
3. they originate from charges moving with uniform speed.
4. they are transverse in nature.
Subtopic:  Properties of EM Waves |
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If \(\vec{E}\) and \(\vec{B}\) represent the electric field vector and magnetic field vector, respectively, in an electromagnetic wave then the direction of EM wave is along:
1. \(\vec{E}\) 2. \(\vec{B}\)
3. \(\vec{E}\times\vec{B}\) 4. \(\vec{B}\times\vec{E}\)
Subtopic:  Properties of EM Waves |
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Match List-I with List-II (the symbols carry their usual meaning).
List-I List-II
A. \( \oint \vec{E} \cdot d \vec{A}=\dfrac{Q}{\varepsilon_0}\) I. Ampere-Maxwell's law
B. \( \oint \vec{B} \cdot d \vec{A}=0 \) II. Faraday's law
C. \( \oint \vec{E} \cdot d\vec{ l}=\dfrac{-d(\phi)}{d t} \) III. Gauss's law of electrostatics
D. \( \oint \vec{B} \cdot d\vec{l}=\mu_0 i_c+ \mu_0 \varepsilon_0 \dfrac{d\left(\phi_E\right)}{d t}\) IV. Gauss's law of magnetism
Choose the correct answer from the options given below:
1. A-III, B-IV, C-II, D-I 2. A-IV, B-III, C-II, D-I
3. A-III, B-II, C-IV, D-I 4. A-IV, B-I, C-III, D-II
Subtopic:  Maxwell's Equations |
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Among the various types of electromagnetic radiation, the one with the smallest wavelength is:
1. \(\mathrm{X}\)-rays 2. Gamma rays
3. Ultraviolet rays 4. Microwaves
Subtopic:  Electromagnetic Spectrum |
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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:  Properties of EM Waves |
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In a plane electromagnetic wave travelling in free space, the electric field component oscillates sinusoidally at a frequency of \(2.0\times 10^{10}~ \text{Hz}\) and amplitude \(48~\text{Vm}^{-1}\). Then the amplitude of the oscillating magnetic field is: (Speed of light in free space \(3\times 10^{8}~ \text{ms}^{-1}\))
1. \(1.6 \times 10^{-6} ~\text{T}\)
2. \(1.6 \times 10^{-9} ~\text{T}\)
3. \(1.6 \times 10^{-8} ~\text{T}\)
4. \(1.6 \times 10^{-7} ~\text{T}\)
Subtopic:  Properties of EM Waves |
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\(\varepsilon_0\) and \(\mu_0\) are the electric permittivity and magnetic permeability of free space respectively. If the corresponding quantities of a medium are \(2\varepsilon_0\) and \(1.5\mu_0\) respectively, the refractive index of the medium will nearly be:
1. \(\sqrt2\)
2. \(\sqrt3\)
3. \(3\)
4. \(2\)
Subtopic:  Properties of EM Waves |
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