Two polarizing sheets are placed together with their transmission axes crossed so that no light is transmitted. A third sheet is inserted between them with its transmission axis at an angle of 35.0° with respect to the axis of the first sheet. Find the fraction of incident unpolarized light intensity transmitted by the three-sheet combination. (Assume each polarizing sheet is ideal.)

= 0.1104  ( 11 percent of the initial intensity will come out )

Explanation:

The fraction of incident unpolarized light intensity transmitted by the three-sheet combination

assuming the intensity of unpolarized light is then the intensity of polarized light coming out of the first polarizing sheet would be ( )

note the angle between the first and second sheet = 35⁰ c

hence the intensity of polarized light coming out of second plane ( ) polarized sheet will be = ∅ = 0.67101 = 0.3355

Angle between the second and third sheet = 90 - 35 = 55⁰c

hence the intensity of polarized light coming out of the third plane ( ) polarized sheet will be = 55⁰c  = 0.3355 0.32898 = 0.1104

The fraction of incident unpolarized light intensity transmitted by the three-sheet combination = = 0.1104

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