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An unpolarizing beam of light is incident on a group of four palarizing sheets, which are arranaged in such a way that the characteristic direction of each polarizing sheet makes an angle of `30^(@)` with that of the preceding sheet. What fraction of incident unpolarized light is transmitted ?A. 27/54B. 27/81C. 27/128D. 27/112 |
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Answer» Correct Answer - C Intensity of light transmitted by first polariser `= I_(1) = (I_(0))/(2)` `:. I_(2) = (I_(0))/(2) cos^(2) theta = (I_(0))/(2) cos^(2) 30 = (3I_(0))/(8)` `:. I_(3) = (3I_(0))/(8) cos^(2) theta = (3I_(0))/(8) xx (3)/(4) = (9I_(0))/(32)` `:. I_(4) = (9I_(0))/(32) cos^(2) theta = (9I_(0))/(32) xx (3)/(4)` `(I_(4))/(I_(0)) = (27)/(128)` |
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