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8090 [49]
3 years ago
10

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.)
Business
1 answer:
FrozenT [24]3 years ago
4 0

Answer:

\frac{I_{3} }{I_{0} } = 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 I_{0} then the intensity of polarized light coming out of the first polarizing sheet would be \frac{I_{0} }{2} ( I_{1} )

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

hence the intensity of polarized light coming out of second plane ( I_{2} ) polarized sheet will be = I_{1} cos^{2} ∅ = \frac{I_{0} }{2} 0.67101 = 0.3355 I_{0}

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

hence the intensity of polarized light coming out of the third plane ( I_{3} ) polarized sheet will be = I_{2} cos^{2} 55⁰c  = 0.3355 I_{0} 0.32898 = 0.1104I_{0}

The fraction of incident unpolarized light intensity transmitted by the three-sheet combination = \frac{I_{3} }{I_{0} } = 0.1104

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