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Q.

A flood light is covered with a filter that transmits red light. The electric field of the emerging beam is represented by asinusoidal plane wave Ex = 36 sin(1.20×107 z – 3.6×1015 t)V/m. The average intensity of the beam will be

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a

0.86 W/m2

b

1.72 W/m2

c

3.44 W/m2

d

6.88 W/m2

answer is B.

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Detailed Solution

Ex=36sin1.2 x 107Z-3.6 x 1015tVm-1Intensity of the beamI=uavg x C=12ε0E02 x C =12 x 8.8 x 10-12 x (36)2 x 3 x 108I = 1.71 Wm–2
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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 asinusoidal plane wave Ex = 36 sin(1.20×107 z – 3.6×1015 t)V/m. The average intensity of the beam will be