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In figure (a) below, unpolarized light is sent into a system ofthree polarizing

ID: 1726499 • Letter: I

Question

In figure (a) below, unpolarized light is sent into a system ofthree polarizing sheets.The angles 1,2, and 3 of thepolarizing directions are measured counterclockwise from thepositive direction of the y axis (they are not drawn toscale). Angles 1 and3 are fixed, but angle2 can be varied. Figure (b) below givesthe intensity of the light emerging from sheet 3 as a function of2. (The scale of the intensity axis isnot indicated.) What percentage of the light's initial intensity istransmitted by the three-sheet system when2 = 97o?

Explanation / Answer

    in the given problem we note the points at whichthe curve is zero that is     2 = 60o and140o     we can observe that sheet 2 is perpendicular toone of the other sheets at 2 = 60o     and that it is perpendicular to the other of theother sheets when 2 = 140o     without loss of generality we choose that     1 = 150o     3 =50o    now when 2 =90o it will be     || = 60o relative tosheet 1 and |'| = 40o     relative to sheet 3   so we getthat     (If / Ii) = (1 / 2)(cos())2(cos('))2              = .........%