1.

If the volume of a block of metal changes by 12% when it is heated by 30^(@)C.What is the coefficient of linear expansion,

Answer»

SOLUTION :% change in VOLUME `=(DELTAV)/(V)=12%=(12)/(100)`
`DeltaT=30^(@)`
`alpha_(v)=(DeltaV)/(V DeltaA)=(12)/(100xx30)=(4)/(100xx10)=4xx10^(-5)""^(@)C`
`alpha_(V)=4xx10^(-5)""^(@)C`
AS we know that `alpha=(alpha_(v))/(3) or alpha =(4xx10^(-5))/(3)`
`alpha=1.33xx10^(-5)` per `""^(@)C`
`:. beta=2 alpha`
`:. beta=2xx1.33x10^(-5)=2.66xx10^(-5)` per `""^(@)C`


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