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A flood light is covered with a filter that transmits red light the electric field of the emerging beam is represented by a sinusoidal plane wave $E_{x} = 36 \sin (1.20 \times 10^{7} Z - 3.6 \times 10^{15} t) \frac{v}{m}$ The average intensity o f the beam will be

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$0.86 \frac{w}{m^{2}}$

$1.72 \frac{w}{m^{2}}$

$3.44 \frac{w}{m^{2}}$

$6.88 \frac{w}{m^{2}}$

answer is B.

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Detailed Solution

$\begin{aligned} I = \frac{P}{A} = \frac{P}{4 π r^{2}} = \frac{1}{2} ε_{0} E^{2} \\ = 1.72 w / m^{2} \end{aligned}$

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