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Q. The flood light is covered with a filter that transmits red light. The electric field of the increasing beam is represented by a sinusoidal plane wave $E_{x}=36\, \sin \left(1.20 \times 10\, z-3.6 \times 10^{15} t\right)\, V / m .$ The average intensity of beam in $W / m ^{2}$ will be

Electromagnetic Waves

Solution:

Average intensity, $I_{ av}=\frac{1}{2} \varepsilon_{0} E_{0}^{2} \times C$
$=\frac{8.85 \times 10^{-12} \times(36)^{2} \times 3 \times 10^{8}}{2}$
$=1.72\, Wm ^{-2}$