Polarizers: Three polarizers with different axes of transmission will be placed in the path of an unpolarized laser beam with an intensity of 1000 W/m². The transmission axis of polarizer A is vertical (0°), that of B is rotated 29.3° clockwise with respect to vertical, and that of C is rotated 71.7° clockwise with respect to vertical. The polarizers can be placed in any order, but the second polarizer must be 429 mm from the first, and the third must be 138 mm from the second. (a) Find the arrangement of polarizers that maximizes the transmitted intensity and compute the maximum intensity. (b) Find the arrangement of polarizers that minimizes the transmitted intensity and compute the minimum intensity.

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Chapter1: Units, Trigonometry. And Vectors
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**Polarizers:** Three polarizers with different axes of transmission will be placed in the path of an unpolarized laser beam with an intensity of \(1000 \, W/m^2\). The transmission axis of polarizer \(A\) is vertical (\(0^\circ\)), that of \(B\) is rotated \(29.3^\circ\) clockwise with respect to vertical, and that of \(C\) is rotated \(71.7^\circ\) clockwise with respect to vertical. The polarizers can be placed in any order, but the second polarizer must be \(429 \, mm\) from the first, and the third must be \(138 \, mm\) from the second.

(a) Find the arrangement of polarizers that maximizes the transmitted intensity and compute the maximum intensity.

(b) Find the arrangement of polarizers that minimizes the transmitted intensity and compute the minimum intensity.
Transcribed Image Text:**Polarizers:** Three polarizers with different axes of transmission will be placed in the path of an unpolarized laser beam with an intensity of \(1000 \, W/m^2\). The transmission axis of polarizer \(A\) is vertical (\(0^\circ\)), that of \(B\) is rotated \(29.3^\circ\) clockwise with respect to vertical, and that of \(C\) is rotated \(71.7^\circ\) clockwise with respect to vertical. The polarizers can be placed in any order, but the second polarizer must be \(429 \, mm\) from the first, and the third must be \(138 \, mm\) from the second. (a) Find the arrangement of polarizers that maximizes the transmitted intensity and compute the maximum intensity. (b) Find the arrangement of polarizers that minimizes the transmitted intensity and compute the minimum intensity.
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