Capillary Rise (h = 2S cosθ/(ρga))

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h = 2S cosθ/(ρga)

What each symbol means

SymbolWhat it stands for
SSurface tension of the liquid (N/m)
aInner radius of the capillary tube (m)
gAcceleration due to gravity (m/s²)
hHeight of liquid rise (or depression) in the capillary (m)
θAngle of contact between liquid and tube wall (rad or deg)
ρDensity of the liquid (kg/m³)

When to use this

For θ < 90° (e.g., water-glass), liquid rises. For θ > 90° (e.g., mercury-glass), liquid depresses (h is negative because cos θ < 0). Derived from balancing pressure difference across curved meniscus with hydrostatic pressure. h ∝ 1/a — narrower tube, greater rise.