Fraction Of The Intensity Incident

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SUMMARY

The discussion focuses on calculating the fraction of intensity that passes through a polarizer when two Polaroid filters are crossed and the analyzer is rotated. The user applied the formula I2 = (1/2) Io cos²(θ) with θ set to 227.5 degrees, resulting in I2 = 0.393 Io. However, the correct angle for the calculation should be 55 degrees, leading to a different outcome. The correct application of the formula is crucial for accurate results in polarimetry.

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Two Polaroid filters are initially crossed. The analyzer is rotated through an angle of 55.0 degrees. Find the fraction of the intensity incident on the polarizer which passes the analyzer.

I used
I1=1/2 Io
I2= I1cos
I2= 1/2 Io cos^2(theta)
= 1/2 Io cos227.5°
= .393 Io

Is this correct or should the angle be 55 degrees??
 
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Just want to know if anyone has an idea if this is correct?
 

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