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What ismeantby coefficient oflinearexpansionsuperficial&cubicalexpansion ? |
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Answer» Solution :Linear : When a solidrod of initiallengthl isheatedthrougha temperature`Delta T` , itsfinallength(increased ) is GIVENBY `L = L_(0) + Delta L = L_(0)(1+ alpha DeltaT)` Where `alpha` is coefficientoflinearexpansion. It isgivenby `alpha= (Delta L)/(L_(0))XX (1)/( Delta T)` `alpha ` is definedas the increase inlengthperunitlengthperdegreerisein temperature . Supeerficial expansion : Whenasolidsheetof initialsurfacearea A isheatedthrogh a temperature`Delta T`itsfinalarea(INCREASES ) isgiven by `A' = A_(0)+DELTAA= A_(0)(1+ beta DeltaT)` `beta -` coefficient of superficialexpansion. It isgivenby,`beta = (Delta A)/(A_(0)) xx (1)/(DeltaT)` It isdefinedastheincrease in surfacearea perunitareaperdegreerise in temperature Cubicalexpansion : When asolidof initialvolumeVisheatedthroughatemperature`DeltaT`itsfinal volumeisgivenby `V' = V_(0) + DeltaV= V_(0) (1 + gammaDeltaT)` `gamma-`coefficient ofcubicalexpansionand itisdefinedastheincreasein volumeperunitvolumeperdegreerisein temperature `gamma = (DeltaV)/(V_(0))xx (1)/(Delta T)` |
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