Why optically active molecules rotate light?

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Trave11er
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Say, we have a solution of pure form of R-alanine. Say, the molecule has it's COOH group directed along positive y-axis and rotates the z-polarized light clockwise - the question is why the same molecule with it's COOH group in negative y direction won't do the opposite.
 
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Fascinating :). Thank you for the reply, DrDu.