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E and B in the Wave for JEE: 52 solved questions

Real JEE paper questions on e and b in the wave, part of electromagnetic waves. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2012 to 2026. No sign-in needed to read them.

What this topic asks

• Writing B from E, and E from B — 32 questions
• E0 = cB0 and E/B = c — 10 questions
• Direction from E cross B, and oblique propagation — 10 questions

All 52 questions with solutions

• A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a p… JEE Main 9th Jan 1st Shift 2019
• If the magnetic field of a plane electromagnetic wave is given by (The speed of light = 3 × 10⁸ m/s) B = 100… JEE Main 10th Jan 1st Shift 2019
• The magnetic field in a travelling electromagnetic wave has a peak value of 20 nT. The peak value of electric… JEE Main 2013
• A plane electromagnetic wave with frequency of 30 MHz travels in free space. At particular point in space and… JEE Main 27th Aug 2nd Shift 2021
• A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x direction. At a particula… JEE Main 23rd Jan 2nd Shift 2025
• The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is 6.0 × 10⁻⁷ T. The maxi… JEE Main 10th April 2nd Shift 2023
• The electric field and magnetic field components of an electromagnetic wave going through vacuum is described… JEE Main 24th Jan 2nd Shift 2023
• Light wave traveling in air along x-direction is given by E_y = 540 sin π × 10⁴ (x - ct) V m⁻¹. Then, the pea… JEE Main 25th July 2nd Shift 2022
• The oscillating magnetic field in a plane electromagnetic wave is given by B_y = 5 × 10⁻⁶ sin 1000 π (5x - 4… JEE Main 26th July 2nd Shift 2022
• An expression for oscillating electric field in a plane electromagnetic wave is given as E_z = 300 sin (5π ×… JEE Main 30th June 1st shift 2022
• Consider an electromagnetic wave propagating in vacuum. Choose the correct statement. JEE Main Online 2016
• For plane electromagnetic wave propagating in the z direction, which one of the following combination gives t… JEE Main Online 2015
• A plane electromagnetic wave propagates along the +x direction in free space. The components of the electric… JEE Main 29th Jan 2nd Shift 2025
• In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negat… JEE Main 13th April 2nd Shift 2023
• An electromagnetic wave is transporting energy in the negative z direction. At a certain point and certain ti… JEE Main 25th Jan 1st Shift 2023
• Identify the correct statements from the following descriptions of various properties of electromagnetic wave… JEE Main 27th July 2nd Shift 2022
• In an electromagnetic wave the electric field vector and magnetic field vector are given as E = E₀ı̂ and B =… JEE Main 20th July 2nd Shift 2021
• A plane electromagnetic wave propagating along y-direction can have the following pair of electric field (E)… JEE Main 18th March 2nd Shift 2021
• In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by k̂ an… JEE Main 2nd Sept 2nd Shift 2020
• A plane electromagnetic wave having a frequency u = 23.9 GHz propagates along the positive z-direction in fre… JEE Main 12th April 2nd Shift 2019
• The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by an expre… JEE Main 10th Jan 2nd Shift 2019
• A monochromatic beam of light has a frequency u = 3/(2π) × 10¹² Hz and is propagating along the direction (ı̂… JEE Main Online 2018
• Magnetic field in a plane electromagnetic wave is given by B⃗ = B₀ sin(kx + ω t) ȷ̂ T. Expression for corresp… JEE Main Online 2017
• A plane electromagnetic wave is moving in free space with velocity c = 3 × 10⁸ m/s and its electric field is… JEE Main 28th Jan 2nd Shift 2026
• An electromagnetic wave with frequency ω and wavelength λ travels in the +y direction. Its magnetic field is… JEE Main Online 2012
• The electric field of an electromagnetic wave in free space is E⃗ = 57 cos[7.5 × 10⁶ t - 5 × 10⁻³ (3x + 4y)](… JEE Main 23rd Jan 1st Shift 2025
• An electromagnetic wave travels in free space along the x-direction. At a particular point in space and time,… JEE Main 2nd April 2nd Shift 2026
• The magnetic field of an E.M. wave is given by B⃗ = (√3/4 ı̂ + 1/2 ȷ̂) 30 sin[ω(t - z/c)] (S.I. Units). The c… JEE Main 28th Jan 2nd Shift 2025
• The electric field in an electromagnetic wave is given by E⃗ = ı̂ 40 cos(ω(t - z/c)) NC⁻¹. The magnetic field… JEE Main 4th April 1st Shift 2024
• A plane EM wave is propagating along x direction. It has a wavelength of 4 mm. If electric field is in y dire… JEE Main 9th April 1st Shift 2024
• A magnetic field vector in an electromagnetic wave is represented by B = B₀ sin(2π u t - 2π x/λ) ȷ̂. Its asso… JEE Main 4th April 2nd Shift 2026
• The magnetic field in a plane electromagnetic wave is B_y = (3.5 × 10⁻⁷) sin (1.5 × 10³ x + 0.5 × 10¹¹ t) T.… JEE Main 9th April 2nd Shift 2024
• A plane electromagnetic wave of frequency 35 MHz travels in free space along the X-direction. At a particular… JEE Main 29th Jan 2nd Shift 2024
• The electric field of an electromagnetic wave in free space is represented as E⃗ = E₀ cos(ω t - kz) ı̂. The c… JEE Main 30th Jan 1st Shift 2024
• A plane electromagnetic wave of frequency 20 MHz propagates in free space along x-direction. At a particular… JEE Main 11th April 2nd Shift 2023
• If E⃗ and K⃗ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field… JEE Main 24th Jan 1st Shift 2023
• The magnetic field of a plane electromagnetic wave is given by B⃗ = 2 × 10⁻⁸ sin(0.5 × 10³ x + 1.5 × 10¹¹ t)… JEE Main 26th July 1st Shift 2022
• For an electromagnetic wave propagating through vacuum, k, E and ω represent propagation vector, electric fie… JEE Main 6th April 2nd Shift 2026
• The electric field in a plane electromagnetic wave is given by : E_y = 69 sin[0.6 × 10³ x - 1.8 × 10¹¹ t] V/m… JEE Main 21st Jan 1st Shift 2026
• An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating in y-direction h… JEE Main 28th June 2nd Shift 2022
• A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular… JEE Main 16th March 1st Shift 2021
• A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x-direction. At a perpend… JEE Main 18th March 1st Shift 2021
• The magnetic field of a plane electromagnetic wave is B⃗ = 3 × 10⁻⁸ sin[200π (y + ct)] ı̂ T, where c = 3 × 10… JEE Main 3rd Sept 1st Shift 2020
• The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is E⃗ = E₀ ȷ̂… JEE Main 3rd Sept 2nd Shift 2020
• The electric field of a plane electromagnetic wave is given by E⃗ = E₀ (x̂ + ŷ) sin(kz - ω t). Its magnetic… JEE Main 4th Sept 2nd Shift 2020
• For a plane electromagnetic wave, the magnetic field at a point x and time t is B⃗(x,t) = [1.2 × 10⁻⁷ sin(0.5… JEE Main 6th Sept 2nd Shift 2020
• If the magnetic field in a plane electromagnetic wave is given by B⃗ = 3 × 10⁻⁸ sin(1.6 × 10³ x + 48 × 10¹⁰ t… JEE Main 7th Jan 1st Shift 2020
• A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the z-direction. At a particu… JEE Main 8th Jan 2nd Shift 2020
• A plane electromagnetic wave is propagating along the direction (ı̂ + ȷ̂)/(√2), with its polarization along t… JEE Main 9th Jan 2nd Shift 2020
• A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the… JEE Main 8th April 1st Shift 2019
• The magnetic field of an electromagnetic wave is given by B⃗ = 1.6 × 10⁻⁶ cos(2 × 10⁷ z + 6 × 10¹⁵ t)(2ı̂ + ȷ… JEE Main 8th April 2nd Shift 2019
• An electromagnetic wave is represented by the electric field E⃗ = E₀ n̂ sin[ω t + (6y - 8z)]. Taking unit vec… JEE Main 12th April 1st Shift 2019