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  • The Electric field in a plane EM wave is given by <img alt="\vec{E}=200 \cos \left[\left(0.5 \times 10^3\right) x-\left(1.5 \times 10^1 t\right ) \mathrm{v} / \mathrm{m}\right." src="https://e

The Electric field in a plane EM wave is given by \vec{E}=200 \cos \left[\left(0.5 \times 10^3\right) x-\left(1.5 \times 10^1 t\right ) \mathrm{v} / \mathrm{m}\right.
- If this wave falls normally on a perfectly reflecting surface having an area of 100 \mathrm{~cm}^2. The radiation pressure exerted by the EM wave on the surface during 10 minutes is

Option: 1

177 \times 10^{-9}


Option: 2

354 \times 10^{-9}


Option: 3

533 \times 10^{-9}


Option: 4

708 \times 10^{-9}


Answers (1)

best_answer

\begin{aligned} & E_0=200 \\ & I=\frac{1}{2} \epsilon_0 E_0^2 C \end{aligned}
Radiation pressure is P=\frac{2 I}{C}

\begin{aligned} & P=\frac{2}{C} \left(\frac{1}{2} \epsilon_0 E_0^2 C\right)=\epsilon_0 E_0^2=8.85 \times 10^{-12} \times 200^2 \\ & P=8.85 \times 10^{-8} \times \varphi=354 \times 10^{-9} \mathrm{~N} / \mathrm{m}^2 \end{aligned}

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jitender.kumar

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