Question types

Electromagnetic Waves question types

30 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

30
Questions
5
Question groups
5
Question types
Sample Questions

Electromagnetic Waves questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Dimensions of $\frac{1}{(\mu_0\epsilon_0)}$ is:
  1. $\frac{\text{L}}{\text{T}}$
  2. $\frac{\text{T}}{\text{L}}$
  3. $\frac{\text{L}^2}{\text{T}^2}$
  4. $\frac{\text{T}^2}{\text{L}^2}$
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An electromagnetic wave going through vacuum is described by $\text{E}=\text{E}_0\sin(\text{kx}-\omega\text{t})$ which of the following is/are independent of the wavelength?
  1. $\text{k}$
  2. $\omega$
  3. $\frac{\text{k}}{\omega}$
  4. $\text{k}\omega$
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An electromagnetic wave going through vacuum is described by $\text{E}=\text{E}_0\sin(\text{kx}-\omega\text{t}),\text{ B}=\text{B}_0\sin(\text{kx}-\omega\text{t})$ Then$:$
  • $\text{E}_0\text{k}=\text{B}_0\omega$
  • B
    $\text{E}_0\text{B}_0=\omega\text{k}$
  • C
    $\text{E}_0\omega=\text{B}_0\text{k}$
  • D
    None of these.

Answer: A.

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A compass needle is placed in the gap of a parallel plate capacitor. The capacitor is connected to a battery through a resistance. The compass needle:
  1. Does not deflect.
  2. Deflects for a very short time and then comes back to the original position.
  3. Deflects and remains deflected as long as the battery is connected.
  4. Deflects and gradually comes to the original position in a time that is large compared to the time constant.
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A parallel-plate capacitor of plate-area A and plate separation d is joined to a battery of emf $\epsilon$ and internal resistance R at t = 0. Consider a plane surface of area $\frac{\text{A}}{2}$ parallel to the plates and situated symmetrically between them. Find the displacement current through this surface as a function of time.
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Q 103 Marks Question3 Marks
Consider the situation of the previous problem. Define displacement resistance $\text{R}_\text{d}=\frac{\text{V}}{\text{i}_\text{d}}$ of the space between the plates, where $V$ is the potential difference between the plates and $i_d$ is the displacement current. Show that $R_d$ varies with time as $\text{R}_\text{d}=\text{R}\big(\text{e}^{\text{t}/\tau}-1\big)$
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Q 113 Marks Question3 Marks
A point charge is moving along a straight line with a constant velocity u. Consider a small area A perpendicular to the direction of motion of the charge (El). Calculate the displacement current through the area when its distance from the charge is x. The value of x is not large so that the electric field at any instant is essentially given by Coulomb's law.
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A metal rod is placed along the axis of a solenoid carrying a high-freqμency alternating current. It is found that the rod gets heated. Explain why the rod gets heated.
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In a microwave oven, the food is kept in a plastic container and the microwave is directed towards the food. The food is cooked without melting or igniting the plastic container. Explain.
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The intensity of the sunlight reaching Earth is $1380\ Wm^{-2}.$ Assume this light to be a plane, monochromatic wave. Find the amplitudes of electric and magnetic fields in this wave.
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A plane electromagnetic wave is passing through a region. Consider (a) electric field (b) magnetic field (c) electrical energy in a small volume and (d) magnetic energy in a small volume. Construct the pairs of the quantities that oscillate with equal frequencies.
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