Home Physics Surface Tension Mix Water which wets the walls of a vertical cap…
Physics Surface Tension Mix MCQ (Single Correct)

Water which wets the walls of a vertical capillary tube rises to a height H within it. Three 'gallows',

A
,
B
and
C
, are made from the same tubing, and one end of each is placed into a large dish filled with water, as shown in the figure. Does the water flow out at the other ends of the capillary tubes?

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Sol. In case , it is clear that the water cannot flow out of the tube. If it could, a perpetuum mobile (perpetual motion machine) could be established using a paddle rotated ad infinitum by the outflowing water.

Cases and are not so simple. The ends of both tubes are lower than the water level and the water pressures there are consequently lower than the atmospheric pressure. In each case, the water wells to such an extent that the pressure corresponding to its radius of curvature equals the pressure difference between it and the air. The water surfaces corresponding to cases , and are shown in the figure.

The greatest curvature (smallest radius of curvature) occurs for the hemispherical shape and corresponds to the pressure of a column of water of height H, since this is the height reached by the water in a vertical tube. If the air–water pressure difference is greater than ρ gH, then surface tension cannot hold the water in the tube and it flows out. This is what happens in tube (assuming that the figure is to scale and H' > H); on the other hand, water does not flow out of tube

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