Step 1: Analysis of Each Statement
A: Arginine and tryptophan are classified as essential amino acids.
(Arginine is conditionally essential, especially for growing children.)
(True)
B: Glycine (\(NH_2–CH_2–COOH\)) has two hydrogen atoms attached to the α-carbon, hence it does not have a chiral centre and is achiral.
(True)
C: Proline contains a pyrrolidine ring, which is a five-membered nitrogen-containing ring.
Hence the statement is correct.
(True)
D: Histidine contains an imidazole ring, which is a heterocyclic aromatic ring.
Hence the statement is correct.
(True)
E: The side chain \(CH_3–S–CH_2–CH_2–\) belongs to methionine, whereas cysteine has the side chain \(HS–CH_2–\).
Hence the statement is incorrect.
(False)
Step 2: Identification of Incorrect Statements
From the above analysis:
• Statements A, B, C, and D are correct.
• Statement E is incorrect.
Therefore, the only incorrect statement is E.
Final Answer:
The incorrect statement is E.