Final answer:
The question deals with the Physics subject, specifically capillary rise, which requires applying principles of fluid dynamics to calculate the height of water in a capillary tube at 25 degrees Celsius. The viscosity of water as it relates to temperature is also discussed.
Step-by-step explanation:
The question asks about the height to which water will rise in a capillary tube due to capillary action, at a temperature of 25 degrees Celsius. This is a concept from Physics, specifically fluid dynamics and surface tension. To calculate the height, we use the formula for capillary rise, which relates the height (h) of the liquid rise to its surface tension (T), the density of the liquid (p), gravitational acceleration (g), and the inner radius of the tube (r).
However, the formula itself isn't provided in the question, which suggests a student would need to refer to supplementary material such as a textbook or lecture notes (referred to as 'Example 10.4' in the question). The answer would require applying the principles of capillary action and considering factors such as surface tension and the diameter of the capillary tube.
Additionally, part b of the question touches upon the relationship between the viscosity of water and temperature, which is an aspect of the study of matter at the microscopic level, discussing molecular interactions and how they are influenced by temperature.