A tapering 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 0∘C with larger radius in contact with liquid surface, the liquid rises 8 × 10^−2 m in the tube. In another experiment, in a cylindrical glass capillary tube B, when immersed in the same liquid at 0∘C, the liquid rises to 6 × 10^−2 m height. The rise of liquid in tube B is only 5.5 × 10^−2 m when the liquid is at 50∘C. Find the rate at which the surface tension changes with temperature considering the change to be linear. The density of liquid 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.