Step 1: Understanding the Concept:
Barbiturates are central nervous system depressants classified into different categories based on their lipid solubility and duration of action.
Detailed Explanation:
Let us analyze the duration of action of the listed barbiturates:
- (B) Thiopentone: An ultra-short-acting barbiturate. Because of its extremely high lipid solubility, it crosses the blood-brain barrier rapidly and is then redistributed into fat and muscle, terminating its action within $5$-$15$ minutes. This is the shortest duration.
- (C) Pentobarbitone: A short-to-intermediate-acting barbiturate. It is used as a general anesthetic or euthanasia agent in veterinary practice, with a duration of action of $1$-$2$ hours.
- (A) Amobarbitone: An intermediate-acting barbiturate, with a duration of action ranging from $3$-$6$ hours.
- (D) Phenobarbitone: A long-acting barbiturate. It has low lipid solubility and is slowly metabolized, with an active duration exceeding $8$-$12$ hours. It is primarily used as an anticonvulsant.
Arranging these from shortest (lower) to longest (higher) duration of action:
\[ \text{Thiopentone (B)} \rightarrow \text{Pentobarbitone (C)} \rightarrow \text{Amobarbitone (A)} \rightarrow \text{Phenobarbitone (D)} \]
This corresponds to the sequence: (B), (C), (A), (D).
Step 2: Final Answer:
The correct sequential arrangement corresponds to Option (B).