Water, which wets glass, is stuck between two parallel glass plates. The distance between the plates is d, and the diameter of the trapped water 'disc' is D >> d.

What is the force acting between the plates?
Text Solution
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Sol. The cross-sectional edge of the disc of water is a semicircle of radius r =
d (see figure). Thus, the curvature of the surface of the water is 2/d, which corresponds to a pressure of curvature of
p = 2 γ /d, where γ is the surface tension. (The other component of the curvature is negligible because D >> d.)

The pressure inside the disc is therefore p 0 – 2 γ /d when the atmospheric pressure is p 0 . This pressure difference acts over a surface area between the water and each of the glass surfaces of π D 2 /4. This implies that a force,
F =

‘pulls' the glass plates together.
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