A light beam approaches the pair of polarizers shown below from the left. the be

Question

A light beam approaches the pair of polarizers shown below from the left. the beam is initially polarized in the vertical direction and has an average intensity of 100 W/m^2. Find the average intensity of the transmitted beam.

Answer is 18.8 W/m^2 but i dont know how to get that. Please explain each step!

A light beam approaches the pair of polarizers shown below from the left. the beam is initially polarized in the vertical direction and has an average intensity of 100 W/m^2. Find the average intensity of the transmitted beam. Answer is 18.8 W/m^2 but i dont know how to get that. Please explain each step!

Explanation / Answer

Given that,

Io = 100 W/m2

Let I(f) be the final intensity of the transmitted wave.

As the beam is initially polarized, So

I1 = Io Cos2 (theta) = 100 Cos2 (30) = 100 x (0.866)2 = 75 W/m2   (As theta 1 = 30 degrees)

I(f) = I1 Cos2 (theta) = 74.99 Cos2 (60) = 75 x (0.5)2 = 18.8 W/m2

As theta2 = 60 degrees, you yourself have to be calculative here after seeing the geomerty that theta 2= 60 degrees

Hence the final intensity of the wave will be I(f) = 18.8 W/m2

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