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The optically inactive amino acids
A.Lysine
B.Glycine
C.Arginine
D.Alanine

Answer
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Hint: Amino acids are organic compounds , which combine to form proteins. Amino acids contain amine and carboxyl functional groups along with a side chain ( ${\text{R}}$ group ) which is specific to each amino acid .Most of the amino acids are stereoisomers and are chiral molecules. Stereoisomerism is a type of isomerism in which molecules have the same molecular formula but differ in their spatial arrangement of atoms. Optical isomerism comes under stereoisomerism.

Complete step by step solution:
A general structure of amino acid can written as
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where ${\text{R}}$ is different for different amino acids.
Now we learn about optical isomerism . Simply we can say that optical isomerism is a type of stereoisomerism in which the two isomers of the compound are said to be mirror images of each other that are non superimposable.Let us look at the example of optical isomers amino acid alanine.
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Optical isomers have the same physical properties, but they rotate planes of polarised light in the opposite direction. Most optical isomers are organic compounds , and a chiral centre is necessary for a compound to show optical isomerism, when there are four different groups attached to a carbon atom then it is called chiral carbon. So such compounds which are capable of rotating planes of polarised light are said to be optically active.
The compounds which don’t have a chiral centre that is incapable of optical rotation is said to be optically inactive. All pure achiral compounds are optically inactive.
Let us consider the general structure of amino acids
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When we look at the structure of amino acid , amino group and that of carboxyl group attached to the $\alpha -$ carbon atom ( carbon atom next to carboxyl group) . The Carbon atom also bonded to the hydrogen atom and ${\text{R}}$ group , hence here the carbon atom is chiral because it is attached to four different groups, making them optically active.
We can look at the examples of Lysine, Arginine, Alanine
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In above given amino acids the $\alpha -$ carbon atom is chiral , hence it all are optically active
Whereas in case of Glycine when we look at the structure
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Here the carbon atom is not chiral, because two hydrogen atoms attached to $\alpha -$ carbon make it achiral so glycine is found to be optically inactive.
So here the answer of optically inactive amino acids is glycine.

So, Option B is correct.

Note: A compound is said to have a chiral centre when it has an asymmetric centre , carbon atom bonded to four different groups, and isomers are non superimposable mirror images. Whereas an achiral compound is superimposable on its mirror image.
All amino acids except Glycine have a chiral centre , making them optical active.