Electromagnetic wave questions with solutions

Showing 1–10 of 155 questions

• Multi-correctmediumElectromagnetic wave

  In a dielectric medium, E⃗=30(2î+ĵ) sin{2π[5×10¹⁴t-(10⁷/3)z]} V m⁻¹. Take c=3×10⁸ m s⁻¹. Which statements are correct?

  Select all that apply

  • Option A

    Bₓ=-2×10⁻⁷ sin{2π[5×10¹⁴t-(10⁷/3)z]} Wb m⁻²

  • Option B

    Bᵧ=2×10⁻⁷ sin{2π[5×10¹⁴t-(10⁷/3)z]} Wb m⁻²

  • Option C

    The wave is polarized in the xy-plane at 30° to the x-axis.

  • Option D

    The refractive index of the medium is 2.

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  JEE Advanced 2023

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• MCQmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  The electric field in an electromagnetic wave is given by $\vec{E}$ = 40 cos[ω(t - z/c)] î N C⁻¹. The magnetic field induction of this wave is (in SI unit):

  Options

  • Option A

    $\vec{B}$ = (40/c) cos[ω(t - z/c)] î

  • Option B

    $\vec{B}$ = 40 cos[ω(t - z/c)] ĵ

  • Option C

    $\vec{B}$= (40/c) cos[ω(t - z/c)] k̂

  • Option D

    $\vec{B}$ = (40/c) cos[ω(t - z/c)] ĵ

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  JEE Mains 2024 04 Apr Morning Shift

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• MCQeasyElectromagnetic wavedisplacement current and properties of electromagnetic wave

  A parallel plate capacitor has capacitance C = 200 pF. It is connected to a 230 V AC supply with angular frequency 300 rad s⁻¹. The rms values of conduction current in the circuit and displacement current in the capacitor respectively are:

  Options

  • Option A

    1.38 μA and 1.38 μA

  • Option B

    14.3 μA and 143 μA

  • Option C

    13.8 μA and 138 μA

  • Option D

    13.8 μA and 13.8 μA

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  JEE Mains 2024 01 Feb Morning Shift

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• NumericdifficultElectromagnetic wavedisplacement current and properties of electromagnetic wave

  A cube of unit volume contains 35 × 10⁷ photons of frequency 10¹⁵ Hz. Treating their total energy as the average electromagnetic-wave energy in the same volume, the magnetic-field amplitude is α × 10⁻⁹ T. Given μ₀ = 4π × 10⁻⁷ T m A⁻¹, h = 6 × 10⁻³⁴ J s and π = 22/7, find α.

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  JEE Advanced 2025 Paper 1

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• MCQmediumElectromagnetic wave

  The source figure shows two cases (a) and (b) with an electric-field vector and the direction of an induced magnetic-field line. In each case, decide whether the magnitude of E is increasing or decreasing.

  

  Options

  • Option A

    E increases in (a) and decreases in (b).

  • Option B

    E increases in both (a) and (b).

  • Option C

    E decreases in both (a) and (b).

  • Option D

    E decreases in (a) and increases in (b).

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  JEE Mains

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• MCQmediumElectromagnetic wave

  The ratio of average electric energy density and total average energy density of electromagnetic wave is: 1

  Options

  • Option A

    2

  • Option B

    1

  • Option C

    3

  • Option D

    1/2

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  JEE Mains 2023

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• NumericmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  A capacitor of capacitance 2 μF has voltage V = 10 sin(2000t) V across it. If the maximum displacement current is N mA, find N.

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  JEE MainsNEETJEE Advanced

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• Multi-correctmediumElectromagnetic wave

  Define S⃗=(E⃗×B⃗)/μ₀. Which listed quantities have the same dimensions as S?

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  • Option A

    Energy/(charge×current)

  • Option B

    Force/(length×time)

  • Option C

    Energy/volume

  • Option D

    Power/area

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  JEE Advanced 2021

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• MCQmediumElectromagnetic wave

  A plane electromagnetic wave E⃗=E⃗ₘ cos(ωt-k⃗·r⃗) propagates in vacuum. If E⃗ₘ and k⃗ are known, which expression gives H⃗ at r⃗=0?

  Options

  • Option A

    √(ε₀/μ₀) (k⃗×E⃗ₘ/|k⃗|) cosωt

  • Option B

    √(μ₀/ε₀) (k⃗×E⃗ₘ/|k⃗|) cosωt

  • Option C

    √(ε₀/μ₀) (E⃗ₘ×k⃗/|k⃗|) sinωt

  • Option D

    √(ε₀/μ₀) E⃗ₘ cosωt

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  JEE MainsAdvanced

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• MCQmediumElectromagnetic wavedisplacement current and properties of electromagnetic wave

  Given below are two statements:

  Statement I: Electromagnetic waves are not deflected by electric and magnetic field.

  Statement II: The amplitudes of electric field and magnetic field in electromagnetic waves are related as E₀ = √(μ₀/ε₀) B₀.

  In the light of the above statements, choose the correct answer from the options given below:

  Options

  • Option A

    Statement I is true but Statement II is false

  • Option B

    Both Statement I and Statement II are true

  • Option C

    Statement I is false but Statement II is true

  • Option D

    Both Statement I and Statement II are false

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  JEE Mains29 January 2023Shift 2Evening Shift

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