Step 1: Understanding the situation.
This case involves the use of a hatchet, where A did not act with reckless disregard but still caused the death of a person due to the head of the hatchet coming off. This is an example of culpable homicide, where the death was caused by A's act without the intent to murder.
Step 2: Explanation of the options.
- (a) An offence of murder: Murder requires intent or knowledge that the act will cause death, which is not the case here.
- (b) An offence of Culpable homicide: This is correct, as the act did not have intent to kill but caused death.
- (c) Not an offence: This is incorrect because the act caused death and falls under culpable homicide.
- (d) An offence of causing grievous hurt: This is not applicable as the act resulted in death, not just grievous hurt.
Step 3: Conclusion.
Thus, the correct answer is (b) An offence of Culpable homicide.