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What is the correct Fischer projection of (R) 2-hydroxy propanoic acid?
(A)
(B)
(C)
(D)

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Answer
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Hint: The right hand and left-hand nomenclature are used to name the enantiomers of a chiral compound. The stereo centres are labelled as R or S. the D-L system corresponds to the configuration of the molecule with spatial arrangements of its atoms around the chiral centre.

Complete step by step solution:
 The structure of 2- hydroxy propanoic acid which is IUPAC name of the given structure,

Based on R and S rotation, a curved arrow is shown in a clockwise direction, then denotes S configuration, similarly, it shows anti-clockwise direction, it denotes R configuration. In a Fischer projection molecule, a curve arrow is drawn based on the priority of the functional groups around the chiral centre. In the given 2-hydroxy propanoic acid, the priority order as follows,
$-OH>-COOH>-C{{H}_{3}}>-H$
Let us take options given fischer projection formula and find out which is (R) 2-hydroxy propanoic acid?
(A)
The above diagram indicates that curved arrow shows clockwise direction, it should be R-configuration, but 4th priority group on the horizontal line, then the above fischer projection is (S) 2-hydroxy propanoic acid.

(B)
The above diagram indicates that curved arrow shows anti clockwise direction, the configuration should be S. but the 4th priority group on the horizontal line, then the above fischer projection is (R) 2-hydroxy propanoic acid.

(C)
The above diagram indicates that curved arrow shows clockwise direction, the configuration should be R. but the 4th priority group on horizontal line then the above fischer projection is (S) 2-hydroxy propanoic acid.
(D)
The above diagram indicates that curved arrow shows anti clockwise direction, the configuration should be S. but the 4th priority group on the horizontal line, then the above fischer projection is (R) 2-hydroxy propanoic acid.

Hence, option B and D are R-configuration for 2-hydroxy propanoic acid.

Note: A dextrorotatory compound is often prefixed with (+)- or d-, similarly, a levorotatory compound is often prefixed with (-)- or l-. These lowercase are different from D and L prefixes, which are used to distinguish chiral configuration with organic compounds.