Two polaroid's are oriented with their p...

Two polaroid's are oriented with their planes perpendicular to incident light and transmission axis making an angle of `30^(@)` with each other. What fraction of incident unpolarized light transmitted?

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If unpolarized light is passed through a polaroid `P_1` . its intensity will become half.
`So I_1 = 1/2 I_0` , with vibrations parallel to the axis of `P_1` . Now this light will pass through the second polaroid `P_2` (Analyser) whose axis is inclined at an angle of `30^@` to the axis of `P_1` and hence to the vibrations of `I_1`

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