A capillary tube is dipped into water. How high will the water rise in the tube if the radius is 1 mm?
Practice Questions
1 question
Q1
A capillary tube is dipped into water. How high will the water rise in the tube if the radius is 1 mm?
2.5 cm
5 cm
10 cm
15 cm
Using the capillary rise formula, h = (2γcosθ)/(ρgr), where γ is surface tension, θ is contact angle, ρ is density, g is acceleration due to gravity, and r is radius.
Questions & Step-by-step Solutions
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Q
Q: A capillary tube is dipped into water. How high will the water rise in the tube if the radius is 1 mm?
Solution: Using the capillary rise formula, h = (2γcosθ)/(ρgr), where γ is surface tension, θ is contact angle, ρ is density, g is acceleration due to gravity, and r is radius.
Steps: 5
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.
