Give the expressions for linear, area and volume thermal expansions.

Explanation

Linear Expansion : In solids, for a small change is temperature `DeltaT`, the fractional change in length `((DeltaL)/(L_(0)))` is directly proportional to `DeltaT`.
`(DeltaL)/(L_(0))=alpha_(L)DeltaT`
`"Therefore, "alpha_(L)=(DeltaL)/(L_(0)DeltaT)`
Area Expansion : For a small change in temperature `DetlaT` the fractional change in area `((DeltaA)/(A_(0)))` of a substance is directly proportional to `DeltaT` and it can be written as
`(DeltaA)/(A_(0))=alpha_(A)DeltaT`
`"Therefore, "alpha_(A)=(DeltaA)/(A_(0)DeltaT)`
Volume Expansion : For a small change in temperature `DeltaT` the fractional change in volume `((DeltaV)/(V_(0)))` of a substance is directly proportional to `DeltaT`.
`((DeltaV)/(V_(0)))=alpha_(0)DeltaT`
`"Therefore, "alpha_(V)=(DeltaV)/(V_(0)DeltaT)`