A long cylindrical metal vessel, having a linear coefficient `(alpha)`, is filled with a liquid upto a certain level. On heating it, it is found that the height of liquid column in the cylinder remains the same. What is the volume coefficient of expansion of the liquid?
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Volume of liquid V = Al Increase in volume `DeltaV=(DeltaA)l` (`because` is constant) `rArrBgamma_(1)DeltaT=(2alpha)A.l.DeltaT` `rArrVgamma_(1)DeltaT=2alphaV.DeltaT" "(becauseV=AL)` `rArrgamma_(1)=2alpha` `rArr` Volume coefficient of expansion of liquid = `2alpha`
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