High School

A capillary tube of length 10 cm is dipped 3 cm inside water. The water rises up to 5 cm in the capillary. If the same tube is dipped 6 cm inside water, the water will rise in the capillary up to what height?

Answer :

If a capillary tube is dipped to different depths but other conditions remain constant, the height of the water rise inside the capillary remains the same. Thus, if the same tube is dipped 6 cm into the water, the water will still rise to the same height of 5 cm.

The phenomenon of capillary rise occurs when a capillary tube is dipped into a liquid, and due to surface tension and the interaction of adhesive and cohesive forces, the liquid rises in the tube. The height to which the liquid rises is dependent on various factors, including the surface tension of the liquid, the angle of contact, the density of the liquid, and the radius of the capillary tube. However, provided all other conditions remain constant (including the diameter of the capillary, the temperature, and the surface tension of water), the height to which water will rise does not depend on how deep the capillary tube is dipped into the water.

In the given problem, when the capillary is dipped 3 cm into the water, and the water rises 5 cm, we can deduce that if the same tube is dipped 6 cm, the water will still rise to the same height of 5 cm, given that the conditions are unchanged. This is because the height of the water column is determined by the balance of the upward force due to surface tension and the weight of the water column, not by the depth to which the tube is submerged.