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Explain capillarity phenomenon

Short answer

Capillarity is the rise or fall of liquid in a narrow tube due to surface tension and contact angle. For wetting liquid (θ < 90°), rise h = 4σ cosθ/(ρ g d); for non-wetting, depression. Smaller diameter gives larger rise. Examples: soil moisture, wicking.

Explain capillarity phenomenon.

Capillarity is the rise or fall of a liquid in a narrow tube relative to the surrounding free surface, caused by surface tension and the contact angle between the liquid and the tube wall.

  • If cohesion is weaker than adhesion (water-glass, θ<90∘\theta<90^\circ), the liquid wets the wall and rises.
  • If cohesion is stronger (mercury-glass, θ>90∘\theta>90^\circ), the liquid is depressed.

Balancing the vertical pull of surface tension against the weight of the column in a tube of diameter dd:

h=4σcos⁡θρgdh=\frac{4\sigma\cos\theta}{\rho g d}

The rise is larger for smaller tubes. Examples: rise of water in soil pores and plant stems, wick action, and errors in piezometer and manometer readings when the tube is very narrow.

✓ Answer checked by Claude Opus 5.5 (high effort)

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