A conical glass capillary tube A of length 0.1 m has diameters 10 –3 m and 5 × 10 –4 m at the ends. When it is just immersed in a liquid at 0ºC with larger diameter in contact with it, the liquid rises to 8 × 10 –2 m in the tube. In another cylindrical glass capillary tube B, when immersed in the same liquid at 0ºC, the liquid rises to 6 × 10 –2 m height. The rise of liquid in the tube B is only 5.5 × 10 –2 m 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 liquids is (1/14) × 10 4 kg/m 3 and the angle of contact is zero. (Effect of temperature on the density of liquid and glass is negligible). (g = 9.8 N/kg.)