Explanation:

Introduction:
The scenario described in the question involves person A throwing water on person B, resulting in a drop of water falling on B. We are required to determine the legal offense committed by person A.

Analysis:
To understand the nature of the offense committed by person A, we need to consider the legal definitions of various offenses.

Battery:
Battery refers to the intentional and unlawful physical contact with another person without their consent. It involves harmful or offensive touching, which may include throwing objects at someone. In this case, person A intentionally threw water on person B, resulting in physical contact. Although the act may seem harmless, it still constitutes battery as it involves offensive touching without consent.

Assault:
Assault, on the other hand, refers to the intentional act of causing apprehension of harmful or offensive contact in another person. It does not necessarily involve physical contact but rather the creation of fear or apprehension of immediate physical harm. In this case, person A's action of throwing water on person B may not have created a reasonable apprehension of immediate harm, making it unlikely to be considered assault.

No Offense:
The option 'c' states that no offense was committed. However, this is not accurate as person A's actions meet the criteria for battery.

Conclusion:
Based on the analysis, it can be concluded that person A committed the offense of battery by intentionally throwing water on person B, resulting in physical contact. Therefore, the correct answer to the question is option 'A'.