Racemate is 1-opticaly active 2-opticaly dexttrorotatary 3-opticaly laevorotataory 4-optica
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Racemic mixture is one that has equal amounts of left- and right-handed enantiomers of a chiral molecule. So rotation of one isomer cancels that of other.
Therefore, racemic mixture is optically inactive and its rotation is always zero.
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