A plane electromagnetic wave propagating in $x$ -direction is described by
${E}_{y} =$ \left(200V{m}^{- 1}\right)sin $\left[1 . 5 \times {10}^{7}t - 0 . 05x\right];$ The intensity of the wave is :
(Use ${ϵ}_{0} = 8 . 85 \times {10}^{- 12}{C}^{2}{N}^{- 1}{m}^{- 2}$ )

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Quantrex Academy · Accepted Answer

Correct answer: B. 53 . 1W m ^ - 2

The magnitude of the electric field component of the electromagnetic wave is given by

${E}_{0} = 200V{m}^{- 1}$

The formula to calculate the intensity of the electromagnetic wave is given by

$I = \dfrac{1}{2}{ε}_{0}c{E}_{0}^{2} . . . \left(1\right)$

From equation (1), it follows that

$\begin{cases}I & = & \dfrac{1}{2} \times 8 . 85 \times {10}^{- 12} \times 3 \times {10}^{8} \times {\left(200\right)}^{2}W{m}^{- 2} \\ & = & 53 . 1W{m}^{- 2}\end{cases}$

A plane electromagnetic wave propagating in x -direction is...

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