IP Optically active molecules have the property of rotating the direction of pol

Question

IP Optically active molecules have the 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 degrees; the same concentration of d-glutamic acid causes a rotation of 0.620 degrees .

Find the transmitted intensity for each of these solutions when placed between crossed polarizers. The incident beam is unpolarized and has an intensity of 11.5W/m2 .

Explanation / Answer

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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