A conical glass capillary tube of length 0.1 m has diameter 10^(-3) and 5xx10^(-4)m respectively at its ends. When it is just immersed in a liquid at 0^(@)C with larger diameter in contact with liquid the liquid rises to 8xx10^(-2) m in the tube. if another cylindrical glass capillary tube B is immersed in the same liquid at 0^(@)C the liquid rises to 6xx10^(-2) m height. The rise of liquid the tube B is only 5.5xx10^(-2)m when the liquid is at 50^(@)C. density of the liquid is ((1)/(14))xx10^(4)(kg)/(m^(3)) and angle of contact is zero. Effect of temperature on the density of the liquid and glass is negligible. The rate at which the surface tension changes with temperatrure considering the change to be linear is given by -1.4xx10^(-n)(N)/(m^(@)C. what is the value of n?

A conical glass capillary tube of length 0.1 m has diameter 10^(-3) an

1.	A conical glass capillary tube of length 0.1 m has diameter 10^(-3) and 5xx10^(-4)m respectively at its ends. When it is just immersed in a liquid at 0^(@)C with larger diameter in contact with liquid the liquid rises to 8xx10^(-2) m in the tube. if another cylindrical glass capillary tube B is immersed in the same liquid at 0^(@)C the liquid rises to 6xx10^(-2) m height. The rise of liquid the tube B is only 5.5xx10^(-2)m when the liquid is at 50^(@)C. density of the liquid is ((1)/(14))xx10^(4)(kg)/(m^(3)) and angle of contact is zero. Effect of temperature on the density of the liquid and glass is negligible. The rate at which the surface tension changes with temperatrure considering the change to be linear is given by -1.4xx10^(-n)(N)/(m^(@)C. what is the value of n?
Answer» Solution :In tube A, the radius of capillary tube `r=r_(2)-((r_(2)-r_(1))/(l))XXH,T_(0)=(hrrhog)/(2)` `(DeltaT)/(DELTATHETA)=(T_(50)-T_(0))/(Deltatheta)=(7.7xx10^(-2)-8.4xx10^(-2))/(50)` `=-1.4xx10^(-4)(N)/(m^(@)C)` `=-1.4xx10^(-n)(N)/(m^(@)C)` (given) HENCE `n=4`