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Deg Crossing

Find the transmitted intensity for each of these solutions?

Optically active molecules have a property of rotating the direction of polarization of linearly polarized light. Many biologically important molecules have this property, some causing a counterclockwise rotation (negative rotation angle), others causing a clockwise rotation (positive rotation angle). For example, a 5.00 gram per 100 mL solution of l-leucine causes a rotation of -0.550°; the same concentration of d-glutamic acid causes a rotation of 0.620°.

Find the transmitted intensity for each of these solutions when placed between crossed polarizers. The incident beam is unpolarized and has an intensity of 24.6 W/m2.

l-leucine _______ mW/m2

d-glutamic acid _______ mW/m2

Either rotation direction reduces the 90 deg cross-polarized angle by the magnitude of the rotation.
l-leucine: I = I0*0.5*cos(90-0.55 d)^2 = 1.13337 mW/m^2
d-glutamic acid: I = I0*0.5*cos(90-0.62 d)^2 = 1.44021 mW/m^2

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