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JEE Main 2019 (8 Apr, Shift 1) · Nature of EM Waves & Wave Equation

Nature of EM Waves & Wave Equation question from JEE Main 2019 (8 Apr, Shift 1)

Q62JEE Main 2019 · 8 APR · SHIFT 1Easy

Nature of EM Waves & Wave Equation

A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is E = 6 V m–1 along y-direction. Its corresponding magnetic field component, B would be:

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Answer: (c)

x: k (wave)y: Ez: B
  1. In an EM wave B=EcB = \dfrac{E}{c} and E⃗×B⃗\vec E \times \vec B points along the direction of travel.
  2. B=63×108=2×10−8 TB = \dfrac{6}{3\times10^{8}} = 2\times10^{-8}\text{ T}
  3. Travel along +x+x with E⃗\vec E along yy: y^×z^=x^\hat y \times \hat z = \hat x, so B⃗\vec B is along zz.
  4. So the answer is (c) 2×10−82\times10^{-8} T along z-direction.
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