If a capillary tube has a radius of 0.5 mm and the surface tension of the liquid
Practice Questions
Q1
If a capillary tube has a radius of 0.5 mm and the surface tension of the liquid is 0.072 N/m, what is the height of the liquid column in the tube? (Assume density = 1000 kg/m³)
0.0144 m
0.072 m
0.0288 m
0.036 m
Questions & Step-by-Step Solutions
If a capillary tube has a radius of 0.5 mm and the surface tension of the liquid is 0.072 N/m, what is the height of the liquid column in the tube? (Assume density = 1000 kg/m³)
Step 1: Identify the given values: radius of the capillary tube = 0.5 mm, surface tension = 0.072 N/m, density = 1000 kg/m³, and acceleration due to gravity (g) = 9.81 m/s².
Step 2: Convert the radius from millimeters to meters: 0.5 mm = 0.0005 m.
Step 3: Use the formula for the height of the liquid column in a capillary tube: Height = (2 × Surface Tension) / (Density × g × Radius).
Step 4: Substitute the values into the formula: Height = (2 × 0.072 N/m) / (1000 kg/m³ × 9.81 m/s² × 0.0005 m).
Step 5: Calculate the denominator: 1000 kg/m³ × 9.81 m/s² × 0.0005 m = 0.4905.
