In a zero gravity region, a drop of a liquid of surface tension $σ$ assumes a cylindrical shape of diameter D between two parallel glass plates that are a distance d apart. If curved surface of the drop is at right angles to the plates as shown in the figure. The force exerted by the drop on a plate is given $\frac{σ π D}{k}$ find k.

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Detailed Solution

Force by liquid on plate is difference of force due to excess pressure inside the drop and surface tension.

$F = σ π D - \frac{2 σ}{D} \frac{π D^{2}}{4} = \frac{σ π D}{2}$

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