You use a sequence of ideal polarizing filters, each with its axis making the sa

Question

You use a sequence of ideal polarizing filters, each with its axis making the same angle with the axis of the previous filter, to rotate the plane of polarization of a polarized light beam by a total of44.0

You use a sequence of ideal polarizing filters, each with its axis making the same angle with the axis of the previous filter, to rotate the plane of polarization of a polarized light beam by a total of 44.0 degree. You wish to have an intensity reduction no larger than 6.4%. How many polarizers do you need to achieve your goal? What is the angle between adjacent polarizers? degree

Explanation / Answer

0.936=[cos(44/n)]^2n

solving the above equation by hit and trial

n=9

and angle 44/9=4.8888 degrees

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