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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? |
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Answer» Correct Answer - 4 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` |
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