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. displacement current of magnitude equal to \(i\) flows in the same direction as \(i\).
2. displacement current of magnitude equal to \(i\) flows in a direction opposite to that of \(i\).
3. displacement current of magnitude greater than \(i\) flows but 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 \(\frac{1}{\sqrt{\mu_0~ \epsilon_0}} .\)
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 \(\overrightarrow{E}\) and \(\overrightarrow{B}\) represent the electric field vector and magnetic field vector, respectively, in an electromagnetic wave then the direction of EM wave is along:
1. \(\overrightarrow{E}\)
2. \(\overrightarrow{B}\)
3. \(\overrightarrow{E}\times\overrightarrow{B}\)
4. \(\overrightarrow{B}\times\overrightarrow{E}\)
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 \( \oint \vec{E} \cdot d \vec{A}=\frac{Q}{\varepsilon_0}\) I Ampere-Maxwell's Law
B \( \oint \vec{B} \cdot d \vec{A}=0 \) II Faraday's Law
C \( \oint \vec{E} \cdot \overrightarrow{d I}=\frac{-d(\phi)}{d t} \) III Gauss Law of electrostatics
D \( \oint \vec{B} \cdot \overrightarrow{d l}=\mu_0 i_c+ \mu_0 \varepsilon_0 \frac{d\left(\phi_E\right)}{d t}\) IV Gauss 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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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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To produce an instantaneous displacement current of \(2~\text{mA}\) in the space between the parallel plates of a capacitor of capacitance \(4~\mu\text{F}\), the rate of change of applied variable potential difference \(\left(\frac{dV}{dt}\right)\) must be:
1. \( 800~ \text{V} / \text{s} \)
2. \( 500~ \text{V} / \text{s} \)
3. \( 200~ \text{V} / \text{s} \)
4. \( 400 ~\text{V} / \text{s}\)
Subtopic:  Displacement Current |
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Match List - I with List - II.
List -I (Electromagnetic waves) List - II (Wavelength)
(a) AM radio waves (i) \(10^{-10}~\text{m}\)
(b) Microwaves (ii) \(10^{2} ~\text{m}\)
(c) Infrared radiation (iii) \(10^{-2} ~\text{m}\)
(d) \(X\)-rays (iv) \(10^{-4} ~\text{m}\)

Choose the correct answer from the options given below:
(a) (b) (c) (d)
1. (ii) (iii) (iv) (i)
2. (iv) (iii) (ii) (i)
3. (iii) (ii) (i) (iv)
4. (iii) (iv) (ii) (i)
Subtopic:  Electromagnetic Spectrum |
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When light propagates through a material medium of relative permittivity, \(\epsilon_{r}\) and relative permeability, \(\mu_{r}\) the velocity of light, \(v\) is given by:
(\(c\) = velocity of light in vacuum)
1. \(v=\frac{{c}}{\sqrt{\epsilon_{r} \mu_{{r}}}}\)
2. \(v={c}\)
3. \(v=\sqrt{\frac{\mu_{{r}}}{\epsilon_{{r}}}}\)
4. \(v=\sqrt{\frac{\epsilon_{{r}}}{\mu_{{r}}}}\)
Subtopic:  Properties of EM Waves |
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If \(\lambda_X,\lambda_I,\lambda_M\) and \(\lambda_\gamma\) are the wavelengths of \(X\)-rays, infrared rays, microwaves and \(\gamma\)-rays respectively, then:

1. \(\lambda_\gamma<\lambda_X<\lambda_I<\lambda_M\)
2. \(\lambda_M<\lambda_I<\lambda_X<\lambda_\gamma\)
3. \(\lambda_X<\lambda_\gamma<\lambda_M<\lambda_I\)
4. \(\lambda_X<\lambda_I<\lambda_\gamma<\lambda_M\)
Subtopic:  Electromagnetic Spectrum |
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