Question

Q define thermal expansion what are its main type? Briefly explain it. what is its relation with α β and γ.

Answer 1

$$\begin{gathered} Thermalexpansionisthebehaviorofmattertochangeindiemnsioninresponsetoachangeintemperature. \\ therearethreetypesofthermalexpansioncalled \\ 1.Linearexpansion \\ 2.AreaExpansion \\ 3.Volumeexpansion \\ Linearexpansion:- \\ thechangeinlengthmeasurementsofanobjectduetothermalexpansioniscalledalinearexpansionandthecoefficientisdefinedas \\ \alpha =\frac{1}{L}\frac{dL}{dT} \\ wheredListhechangeinlengthandListheinitiallength. \\ AreaExpansion:- \\ thechangeinareaestimationofanobjectduetothermalexpansioniscalledaareaexpansionandthecoefficientisdefinedas \\ \beta =\frac{1}{S}\frac{dS}{dT} \\ wheredSisthechangeinareaandSistheinitialsurfacearea. \\ volumeexpansion:- \\ thechangeinvolumemeasurementsofanobjectduetothermalexpansioniscalledavolumeexpansionandthecoefficientisdefinedas \\ \gamma =\frac{1}{V}\frac{dV}{dT} \\ wheredVisthechangeinvolumeandVistheinitialvolume. \\ hencewecanprove\beta =2\alpha and\gamma =3\alpha \end{gathered}$$