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JEE Mains · Physics · STD 12 - Electromagnetic waves
  • JEE Mains 2020
  • Easy
  • MCQ

A plane electromagnetic wave of frequency \(25\; \mathrm{GHz}\) is propagating in vacuum along the \(z-\)direction. At a particular point in space and time, the magnetic field is given by \(\overrightarrow{\mathrm{B}}=5 \times 10^{-8} \hat{\mathrm{j}}\; \mathrm{T}\). The corresponding electric field \(\overrightarrow{\mathrm{E}}\) is (speed of light  \(\mathrm{c}=3 \times 10^{8}\; \mathrm{ms}^{-1})\)

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Answer & Solution

Correct Answer

(B) \(15 \hat{\mathrm{i}}\; \mathrm{V} / \mathrm{m}\)

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Detailed explanation

\(\mathrm{E}=\overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{V}}\)

\(=\left(5 \times 10^{-8} \hat{j}\right) \times\left(3 \times 10^{8} \hat{\mathrm{k}}\right)\)

\(=15 \hat{\mathrm{i}}\; \mathrm{V} / \mathrm{m}\)

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