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JEE Mains · Physics · STD 12 - Electromagnetic waves
  • JEE Mains 2022
  • Medium
  • MCQ

The magnetic field of a plane electromagnetic wave is given by \(\overrightarrow{ B }=2 \times 10^{-8} \sin \left(0.5 \times 10^{3} x +1.5 \times 10^{11} t \right) \hat{ j } T\) The amplitude of the electric field would be.

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Answer & Solution

Correct Answer

(C) \(6 Vm ^{-1}\) along \(z\)-axis

Step-by-step Solution

Detailed explanation

\(c =\frac{ E _{0}}{ B _{0}} \Rightarrow E _{0}= cB _{0}\)

\(E _{0}=\left(3 \times 10^{8}\right)\left(2 \times 10^{-8}\right)\)

\(E _{0}=6 Vm ^{-1}\)

As, \(\overrightarrow{ B }=\) along \(y\)-axis

\(\overrightarrow{ v }\) =along negative \(x\)-axis

hence \(\quad \overrightarrow{ E }_{0}=\) along \(z\)-axis

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