A capillary tube is dipped into water. How high will the water rise in the tube

A capillary tube is dipped into water. How high will the water rise in the tube if the radius is 1 mm?

A capillary tube is dipped into water. How high will the water rise in the tube if the radius is 1 mm?

Correct Answer: Height of water rise will depend on the values of surface tension, contact angle, density, and gravity.

Step 1: Identify the formula for capillary rise, which is h = (2γcosθ)/(ρgr).
Step 2: Determine the values needed for the formula: surface tension (γ), contact angle (θ), density of water (ρ), acceleration due to gravity (g), and radius (r).
Step 3: For water, typical values are: γ = 0.0728 N/m, θ = 0° (cosθ = 1), ρ = 1000 kg/m³, g = 9.81 m/s², and r = 1 mm = 0.001 m.
Step 4: Plug the values into the formula: h = (2 * 0.0728 * 1) / (1000 * 9.81 * 0.001).
Step 5: Calculate the value of h to find out how high the water will rise in the tube.

Capillary Action – The ability of a liquid to flow in narrow spaces without the assistance of external forces, influenced by surface tension and adhesive forces.
Surface Tension – The cohesive force at the surface of a liquid that causes it to behave as an elastic sheet.
Contact Angle – The angle formed between the tangent to the liquid surface and the solid surface at the contact line.
Fluid Density – The mass per unit volume of a fluid, which affects the height to which a liquid can rise in a capillary tube.
Gravity – The force that attracts a body toward the center of the earth, affecting the weight of the liquid column in the tube.