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Two polaroids are oriented with their transmission axes making an angle of 30^(@) with each other. What fraction of incident un polarized light is transmitted? |
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Answer» Solution :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 polarized `P_2` (Analyser) WHOSE axis is inclined at an ANGLE of `30^(@)` to the axis of `P_1` and hence vibrations of `I_1`. So in accordance with Malus law, the intensity of light emerging from `P_2` will be `I_(2)= I_(1) cos^(2) 30^(@)= ((1)/(2)I_(0))((SQRT(3))/(2))^(2)= (3)/(8)I_(0)` So the fractional transmitted light `(I_2)/(I_0)=(3)/(8)=37.5%`. |
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