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JEE Main 2023 (11 Apr, Shift 2) · Nature of EM Waves & Wave Equation

Nature of EM Waves & Wave Equation question from JEE Main 2023 (11 Apr, Shift 2)

Q25JEE Main 2023 · 11 APR · SHIFT 2Easy

Nature of EM Waves & Wave Equation

A plane electromagnetic wave of frequency 20 MHz20\text{ MHz} propagates in free space along xx-direction. At a particular space and time, E⃗=6.6j^ V/m\vec{E} = 6.6\hat{j}\text{ V/m}. What is B⃗\vec{B} at this point?

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Answer: (c)

  1. Magnitude: B=Ec=6.63×108=2.2×10−8 TB = \frac{E}{c} = \frac{6.6}{3\times 10^{8}} = 2.2\times 10^{-8}\ \text{T}.
  2. Direction: j^×B^=i^\hat{j}\times\hat{B} = \hat{i} needs B^=k^\hat{B} = \hat{k}.
  3. So the answer is (c) 2.2×10−8k^2.2\times 10^{-8}\hat{k} T.
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