Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202226 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
26 June
Shift
Morning Shift
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main 2022 · 26 June · Morning Shift · Physics · Electromagnetic Waves

If Electric field intensity of a uniform plane electro magnetic...

If Electric field intensity of a uniform plane electro magnetic wave is given as E = - 301 . 6\sin \left(kz - \omegat\right)\overset{^}{a}x + 452 . 4\sin \left(kz - \omegat\right)\overset{^}{a}yV{m}^{- 1} . Then, magnetic intensity HH of this wave in Am−1A{m}^{- 1} will be [Given : Speed of light in vacuum c=3×108ms−1c = 3 \times {10}^{8}{ms}^{- 1}, Permeability of vacuum μ0=4π×10−7NA−2{\mu}_{0} = 4\pi \times {10}^{- 7}N{A}^{- 2}]

Options

  1. A+ 0 . 8\sin \left(kz - \omegat\right)\overset{^}{a}y + 0 . 8\sin \left(kz - \omegat\right)\overset{^}{a}x
  2. B+ 1 . 0 \times {10}^{- 6}\sin \left(kz - \omegat\right)\overset{^}{a}y + 1 . 5 \times {10}^{- 6}\left(kz - \omegat\right)\overset{^}{a}x
  3. C- 0 . 8\sin \left(kz - \omegat\right)\overset{^}{a}y - 1 . 2\sin \left(kz - \omegat\right)\overset{^}{a}x
  4. D- 1 . 0 \times {10}^{- 6}\sin \left(kz - \omegat\right)\overset{^}{a}y - 1 . 5 \times {10}^{- 6}\sin \left(kz - \omegat\right)\overset{^}{a}x

Correct answer

C. - 0 . 8\sin \left(kz - \omegat\right)\overset{^}{a}y - 1 . 2\sin \left(kz - \omegat\right)\overset{^}{a}x

Step-by-step solution

The relation between magnetic field and electric field is given by,

c=E0B0⇒B0=E0cc = \dfrac{{E}_{0}}{{B}_{0}} ⇒ {B}_{0} = \dfrac{{E}_{0}}{c}

And magnetic intensity is given by,

H0=B0μ0⇒H0=E0cμ0{H}_{0} = \dfrac{{B}_{0}}{{\mu}_{0}} ⇒ {H}_{0} = \dfrac{{E}_{0}}{c{\mu}_{0}}

Also, E→and\overset{\to}{E} and\overset{\to}{B}areperpendiculartoeachother.</p><p>Therefore,</p><p>∣Hy0∣=301.63×108×4π×10−7=0.8Am−1∣Hx0∣=452.43×108×4π×10−7=1.2Am−1are perpendicular to each other.</p><p>Therefore,</p><p>\left|{H}_{y0}\right| = \dfrac{301 . 6}{3 \times {10}^{8} \times 4\pi \times {10}^{- 7}} = 0 . 8A{m}^{- 1}\left|{H}_{x0}\right| = \dfrac{452 . 4}{3 \times {10}^{8} \times 4\pi \times {10}^{- 7}} = 1 . 2A{m}^{- 1}

Hence, C is the answer.

Practice Electromagnetic Waves on Quantrex Academy →

More from Electromagnetic Waves

The electric field associated with an electromagnetic wave travelling in vacuum is given… JEE Advanced 2026A monochromatic source of light operating at 15 kW emits 2.5× 10^ 22 photons/s. The… JEE Main 2026For an electromagnetic wave propagating through vacuum, k , E and ω represent propagation… JEE Main 2026A point light source emits E.M. waves in free space. A detector, placed at a distance of… JEE Main 2026A displacement current of 4.0 A can be set up in the space between two parallel plates of… JEE Main 2026A magnetic field vector in an electromagnetic wave is represented by B =B_0 (2π vt-(2π… JEE Main 2026An electromagnetic wave travels in free space along the x -direction. At a particular… JEE Main 2026An electromagnetic wave travelling in x -direction is described by field equation E_y =… JEE Main 2026 Full Electromagnetic Waves list All JEE Main PYQs