The problem asks us to evaluate four statements about the properties of naturally occurring amino acids and identify the one that is correct.
To solve this problem, we need a fundamental understanding of amino acid structure and properties, including:
We will analyze each statement individually to determine its validity.
Step 1: Analyze the statement "All naturally occurring amino acids except glycine contain one chiral centre."
This statement claims that apart from glycine, all other amino acids have exactly one chiral center. Let's examine this.
Since Threonine and Isoleucine have two chiral centers, this statement is incorrect.
Step 2: Analyze the statement "All naturally occurring amino acids are optically active."
Optical activity requires a molecule to be chiral. As established in Step 1, the amino acid Glycine has the structure H\( _2 \)N–CH\( _2 \)–COOH. Its \(\alpha\)-carbon is bonded to two hydrogen atoms, so it is not a chiral center. Because Glycine is achiral, it cannot rotate the plane of polarized light and is therefore optically inactive. Since Glycine is a naturally occurring amino acid, this statement is incorrect.
Step 3: Analyze the statement "Glutamic acid is the only amino acid that contains a –COOH group at the side chain."
This statement claims that only Glutamic acid is an acidic amino acid. Let's review the acidic amino acids.
Since both Aspartic acid and Glutamic acid are naturally occurring amino acids with a –COOH group in their side chains, this statement is incorrect.
Step 4: Analyze the statement "Amino acid, cysteine easily undergoes dimerization due to the presence of free SH group."
The side chain of Cysteine (Cys) is –CH\( _2 \)SH. This –SH group is a sulfhydryl or thiol group.
\[ 2 \times \text{(Cysteine)} \xrightarrow{[\text{Oxidation}]} \text{Cystine} + 2\text{H}^+ + 2\text{e}^- \]
This dimerization is a very important biochemical reaction, as disulfide bridges are crucial for stabilizing the three-dimensional structures of many proteins. Therefore, this statement is correct.
The only correct statement among the options is: Amino acid, cysteine easily undergoes dimerization due to the presence of free SH group.
A dipeptide, “x”, on complete hydrolysis gives “y” and “z”; “y” on treatment with aqueous HNO$_2$, produces lactic acid. On the other hand, “z” on heating gives the following cyclic molecule. 
Based on the information given, the dipeptide X is: