Electromagnetic Waves MCQs for NEET — Physics Questions with Answers

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The relationship between the magnitude of the electric field ($E_0$) and the magnetic field ($B_0$) in an electromagnetic wave in vacuum is given by:

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Explanation

From Maxwell's equations, it is seen that the magnitude of the electric and the magnetic fields in an electromagnetic wave are related as $B_0 = (E_0/c)$, which rearranges to $E_0 = B_0c$. (Context: 'It is also seen from Maxwell’s equations that the magnitude of the electric and the magnetic fields in an electromagnetic wave are related as $B_0 = (E_0/c)$ (8.10)')

The speed of electromagnetic waves in a material medium of permittivity $\epsilon$ and magnetic permeability $\mu$ is given by:

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Explanation

In a material medium of permittivity $\epsilon$ and magnetic permeability $\mu$, the velocity of light becomes $v = 1/\sqrt{\mu\epsilon}$. (Context: '...the velocity of light becomes, $1/v = \mu\epsilon$ (8.11)')

Which of the following is NOT one of Maxwell's Equations in vacuum?

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Explanation

Maxwell's equations in vacuum include Gauss's Law for electricity, Gauss's Law for magnetism, Faraday's Law, and Ampere-Maxwell Law. Kirchhoff's Current Law is a fundamental principle in circuit analysis, but not one of Maxwell's fundamental equations for electromagnetic fields. (Context: 'MAXWELL’S EQUATIONS IN VACUUM: 1. “E.dA = Q/ε0 (Gauss’s Law for electricity) 2. “B.dA = 0 (Gauss’s Law for magnetism) 3. “E.dl = – d/dt ΦB (Faraday’s Law) 4. “B.dl == µ0i + µ0ε0 d/dt ΦE (Ampere – Maxwell Law)')

The displacement current ($I_d$) introduced by Maxwell is given by:

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Explanation

Maxwell suggested the existence of an additional current, called displacement current, due to time-varying electric field and is given by $I_d = \epsilon_0 d\Phi_E/dt$. (Context: 'This displacement current is due to time-varying electric field and is given by $\epsilon_0 d\Phi_E/dt$')

In an electromagnetic wave propagating along the z-direction, if the electric field oscillates along the y-direction, what can be inferred about the magnetic field's oscillation direction?

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Explanation

In an electromagnetic wave, the oscillating electric and magnetic fields are perpendicular to each other, and both are perpendicular to the direction of propagation. If propagation is along z-direction and electric field is along y-direction, then the magnetic field must be along the x-direction. (Context: 'The oscillating electric and magnetic fields, E and B are perpendicular to each other, and to the direction of propagation of the electromagnetic wave.')

What is the speed of light in vacuum based on Maxwell's equations?

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Explanation

The speed 'c' of electromagnetic wave in vacuum is related to $\mu_0$ and $\epsilon_0$ (the free space permeability and permittivity constants) as $c = 1/\sqrt{\mu_0\epsilon_0}$. (Context: 'The speed c of electromagnetic wave in vacuum is related to \mu_0 and \epsilon_0 (the free space permeability and permittivity constants) as follows: $c = 1/\sqrt{\mu_0\epsilon_0}$.')

What fundamental concept did Maxwell introduce to unify electricity and magnetism and predict electromagnetic waves?

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Explanation

Maxwell introduced the concept of displacement current to remove an inconsistency in Ampere's circuital law when dealing with time-varying fields, which led to the prediction of electromagnetic waves. (Context: 'He suggested the existence of an additional current, called by him, the displacement current to remove this inconsistency.')

An oscillating charge produces an oscillating electric field, which in turn produces an oscillating magnetic field. This continuous regeneration of fields is characteristic of:

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Explanation

When an oscillating charge (an accelerating charge) produces an oscillating electric field, it further produces an oscillating magnetic field, which in turn creates a source for an oscillating electric field, and so on. This self-sustaining oscillation is how electromagnetic waves propagate. (Context: 'The oscillating electric and magnetic fields thus regenerate each other, so to speak, as the wave propagates through the space.')

The relation connecting angular frequency ($\omega$), wave vector magnitude (k), and the speed of light (c) in vacuum for an electromagnetic wave is:

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Explanation

Using Maxwell's equations for $E_x$ and $B_y$, one finds that $\omega = ck$. This is the standard relation for waves. (Context: 'Using Eqs. [8.7(a) and (b)] for $E_x$ and $B_y$ and Maxwell’s equations, one finds that $\omega = ck$, where, $c = 1/\sqrt{\mu_0\epsilon_0}$ [8.9(a)]')

Maxwell's equations, along with the Lorentz force formula, mathematically express all the basic laws of:

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Explanation

Maxwell formulated a set of equations involving electric and magnetic fields, and their sources, the charge and current densities. These equations are known as Maxwell’s equations. Together with the Lorentz force formula (Chapter 4), they mathematically express all the basic laws of electromagnetism. (Context: 'Maxwell formulated a set of equations involving electric and magnetic fields, and their sources, the charge and current densities... Together with the Lorentz force formula (Chapter 4), they mathematically express all the basic laws of electromagnetism.')

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