Final answer:
The ratio of the total surface energy before and after two small drops of mercury coalesce to form a single large drop is 1:3.
Step-by-step explanation:
When two small drops of mercury each with a radius r coalesce to form a single large drop, the ratio of the total surface energy before and after the change is 1:3.
In physics, "mercury" typically refers to the chemical element with the symbol Hg and atomic number 80. It is a heavy, silvery-white metal that is unique in being liquid at room temperature.