A conical glass tube of length 0.1 m has diameters 10–3 and at the ends. When it is just immersed in a liquid at 0oC with larger diameter in contact with it, the liquid rises to in the tube. If another cylindrical glass capillary tube B is immersed in the same liquid at 0oC, the liquid rises to height. The rise of liquid in the tube B is only when the liquid is at 50oC. Find the rate at which the surface tension changes with temperature considering the change to be linear. The density of the liquid is and angle of contact is zero. Effect of temperature on density of liquid and glass is negligible.
None of these
If r is the radius of the meniscus in the conical tube, as shown in figure,
Now as capillarity is independent of the shape of tube so at same temp, ,
Now as from for cylindrical tube.
Now as for a given tube and liquid
So rate of change of surface tension with temperature assuming linearity,
Negative sign shows that with rise in temperature surface tension decreases.
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