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γ = F/2L

PHY028 · Fluids · Classes 11–12

Surface tension

Objective: To measure the surface tension of a liquid from the force needed to pull a film on a wire frame.

🧰 Apparatus

  • U-shaped wire frame with a sliding wire
  • Sensitive spring balance or torsion balance
  • Dish of liquid (water, soap solution, alcohol)
  • Vernier callipers

📐 Formulas and SI units

γ = F / (2L) (N/m)
excess pressure in a drop: 2γ/r

💡 Theory

The surface of a liquid behaves like a stretched skin. Surface tension γ is the force per unit length along a line in the surface. A film on a wire frame has two surfaces, so the pull on a wire of length L is F = 2γL. Soap lowers the surface tension of water.

🪜 Procedure

  1. Clean the frame and dip it into the liquid.
  2. Lift it slowly so a film forms.
  3. Read the force just before the film breaks.
  4. Subtract the weight of the frame.
  5. Calculate γ = F/(2L).
  6. Repeat with soap solution and compare.

📋 Observations Simulated values

✅ Result and conclusion

Water (γ = 0.073 N/m) on a 0.1 m frame pulls with 0.0146 N; soapy water needs only a third as much force.

🔬 In a real lab

Tiny amounts of grease change γ a lot, and readings are small (millinewtons), so a torsion balance gives better results.

⚠️ Safety

Mercury is shown as data only: never handle it in school labs. Wipe up soap solution spills.

❓ Quick check

1. Why does a film pull with 2γL, not γL?

2. Adding soap to water makes γ…

3. Unit of surface tension?

🏋️ Practice

EasyF = 0.005 N, L = 0.1 m (film). γ?

Answer: 0.025 N/m

MediumWhy are raindrops round?

Answer: Surface tension makes the smallest surface

ChallengeName an insect that walks on water.

Answer: Pond skater (water strider)