Question

A beam of polarized light is sent into a system of two
polarizing sheets. The polarizing direction of the first sheet is
at an angle *?* relative to the polarization direction of
the incident light, and the second is at a right angle to the
incident light. In terms of *?*, what fraction of the
incident intensity is transmitted by the two sheets?

Answer #1

let the intensity of incident polarized light be
''I_{incident}''

first sheet makes angle relative to incident light

so intensity emerging out from first

**I _{first} = I_{incident}
Cos^{2}**

second polariser make angle 90 with the incident light, hence
the angle made relative to first polariser and hence the light
coming from first polariser would be (90-**)**

**intensity of light coming from second
polariser**

I_{second} = I_{first} Cos^{2}
(90-**)**

**I _{first} = (I_{incident}
Cos^{2})
Sin^{2}**

fraction = I_{second}/I_{incident} =
**Cos ^{2}
Sin^{2}**

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