Linearlly polarized light has a vertical axis of polarization as shown. This lig

Question

Linearlly polarized light has a vertical axis of polarization as shown. This light is incident on a series of 8 polarizing filters. The first filter has its transmission axis at an angle of (pi/2)(1/ 8 ) radians to the polarization axis of the incident light. The second filter has its axis at an angle of (pi/2) (1/ 8 ) radians to the first axis, and so on. The final filter has its axis at a right angle to the polarization axis of the incident light. What percentage of the incident intensity is transmitted through the final filter?

Explanation / Answer

At each filter the intensity is decreased by a factor of cos2=cos(/16)2=0.96

This is repeated 8 times so we are left with .968=0.733=73.3%

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