Final answer:
The speed of water leaving the larger hole with twice the radius is lower than that leaving the smaller hole, based on the equation of continuity in fluid dynamics.
Step-by-step explanation:
The student's question relates to fluid dynamics, specifically the equation of continuity and Bernoulli's principle in Physics. In this scenario, they are inquiring about the speed of water leaving two holes in a tank, where one hole has twice the radius of the other. According to the equation of continuity, the mass of water entering must be equal to the mass of water leaving, which implies that the speed at which water flows out of a hole is inversely related to the cross-sectional area of the hole. Therefore, the speed of water leaving the larger hole with twice the radius should be lower than that leaving the smaller hole, because the larger hole has a greater cross-sectional area.