Exam Question

### (a) Explanation of TPC variation with water density
TPC (Tonnes Per Centimetre immersion) is defined as the mass required to change the mean draught of a ship by one centimetre. For a given draught, the TPC will vary directly with the density of the water in which the ship floats due to the fundamental principle of displacement and the definition of mass.
Here's a detailed explanation:
* **Archimedes' Principle**: A floating body displaces a mass of fluid equal to its own mass. When a ship's draught increases by 1 centimetre, it displaces an additional volume of water.