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JEE Main 2023 (25 Jan, Shift 1) · Nature of EM Waves & Wave Equation

Nature of EM Waves & Wave Equation question from JEE Main 2023 (25 Jan, Shift 1)

Q22JEE Main 2023 · 25 JAN · SHIFT 1Easy

Nature of EM Waves & Wave Equation

An electromagnetic wave is transporting energy in the negative zz direction. At a certain point and certain time the direction of electric field of the wave is along positive yy direction. What will be the direction of the magnetic field of the wave at that point and instant?

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Answer: (c)

  1. Propagation is along E⃗×B⃗\vec{E}\times\vec{B}, which must be −k^-\hat{k}.
  2. With E^=j^\hat{E} = \hat{j}: j^×i^=−k^\hat{j}\times\hat{i} = -\hat{k}, so B^=+i^\hat{B} = +\hat{i}.
  3. So the answer is (c) positive x direction.
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