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If the volume of a block of metal change...

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,

Text Solution

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% 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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