Consider a narrow capillary tube dipped vertically into a large container of liquid with density and surface tension S . The liquid rises in the tube to a height h above the flat surface of the liquid in the container

Question

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Correct answer: B. R = (2S)/( g h)

The pressure difference across a spherical meniscus of radius of curvature

R

is given by

\Delta P = \dfrac{2S}{R}

.

This pressure difference is balanced by the hydrostatic pressure of the liquid column of height

h

, which is

\Delta P = \rho g h

.

Equating the two expressions for the pressure difference:

\dfrac{2S}{R} = \rho g h

Solving for

R

:

R = \dfrac{2S}{\rho g h}

Answer:

R = \dfrac{2S}{\rho g h}

Consider a narrow capillary tube dipped vertically into a large...

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