First slide
Surface tension
Question

A long capillary tube of mass 'π' gm, radius 2 mm and negligible thickness, is partially immersed in a liquid of surface tension 0.1 N/m. Take angle of contact zero and neglect buoyant force of liquid. The force required to hold the tube vertically, will be (g = 10 m/s2)

Moderate
Solution

The free body diagram of the capillary tube is as shown in the figure. Net force F required to hold tube is
F = force due to surface tension at cross-section

(S1+S2)+weight of tube.

 = (2πRT+2πRT)+mg = 4πRT+ mg

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