If a capillary tube has a radius of 0.5 mm and the surface tension of the liquid

₹0.0

📥 Instant PDF Download
♾ Lifetime Access
🛡 Secure & Original Content

What’s inside this PDF?

Question: 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)

Options:

0.0144 m
0.072 m
0.0288 m
0.036 m

Correct Answer: 0.0144 m

Solution:

Height = (2 × Surface Tension) / (Density × g × Radius) = (2 × 0.072 N/m) / (1000 kg/m³ × 9.81 m/s² × 0.0005 m) = 0.0144 m.

If a capillary tube has a radius of 0.5 mm and the surface tension of the liquid

Practice Questions

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.
Step 6: Calculate the numerator: 2 × 0.072 N/m = 0.144.
Step 7: Divide the numerator by the denominator: Height = 0.144 / 0.4905 = 0.0144 m.
Step 8: Convert the height to centimeters if needed: 0.0144 m = 1.44 cm.

Capillary Action – The phenomenon where liquid rises or falls in a narrow tube due to surface tension and adhesive forces.
Hydrostatic Pressure – The pressure exerted by a fluid at equilibrium due to the force of gravity.
Surface Tension – The elastic tendency of a fluid surface that makes it acquire the least surface area possible.

If a capillary tube has a radius of 0.5 mm and the surface tension of the liquid

What’s inside this PDF?

If a capillary tube has a radius of 0.5 mm and the surface tension of the liquid

Practice Questions

Questions & Step-by-Step Solutions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?