Determine the absolute configurations of the chiral centres in the following compound.

  • A
    $a = R; b = S$
  • B
    $a = R; b = R$
  • C
    $a = S; b = S$
  • D
    $a = S; b = R$

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Solutions of optically active isomers rotate the plane of polarized light in a polarimeter. Match the following columns $(I)$ with $(II), (III)$,and $(IV)$ correctly:
$(I)$ Optical Activity$(II)$ Form$(III)$ Sign$(IV)$ Rotation
$(A)$ Dextrorotatory$d$$(+)$Right
$(B)$ Laevorotatory$l$$(-)$Left
$(C)$ Optically Inactive (Racemic)$dl$$(\pm)$Zero rotation

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