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JEE Mains · Physics · STD 12 - Electromagnetic waves
  • JEE Mains 2019
  • Medium
  • MCQ

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 \(E =6\; Vm^{-1}\) along \(y -\) direction. Its corresponding magnetic filed component, \(B\) would be

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Answer & Solution

Correct Answer

(A) \(2 \times {10^{ - 8}}\,T\) along \(z -\) direction

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Detailed explanation

The direction of propagation of an \(EM\) wave is direction of \(\overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}}\) \(\hat{\mathrm{i}}=\hat{\mathrm{j}} \times \hat{\mathrm{B}}\)

\(\Rightarrow \hat{\mathrm{B}}=\hat{\mathrm{k}}\)

\(C=\frac{E}{B} \Rightarrow B=\frac{E}{C}=\frac{6}{3 \times 10^{8}}\)

\(\mathrm{B}=2 \times 10^{-8}\, \mathrm{T}\) along \(\mathrm{z}\) direction.

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