High School

What is the relationship between the height of water rise in two capillary tubes with different radii?

Answer :

The height of water rise due to capillary action in capillary tubes is inversely proportional to the radius of the tube; smaller radii result in taller water columns.

The relationship between the height of water rise in two capillary tubes with different radii is that the height of the water is inversely proportional to the radius of the tube. The smaller the tube's radius, the higher the water will rise due to capillary action. This is because the upward force caused by capillarity is more effective compared to the downward force of gravity in a smaller tube. Capillary rise is also affected by other factors such as fluid density and surface tension, but the tube radius plays a significant role. For example, a tube with a radius of 0.900 cm will have a specific height of water rise, and a smaller tube will raise the water to a greater height. Conversely, if the fluid is denser, the height to which it rises will be smaller, given the same tube radius.