Question

Linear Expansion!
Definition and Derivation

Answer 1

Hey here is the answer ........


Linear Expansion: Linear expansion is defined as the increase in the length of the solid. Example: If we will consider one rod where the length of the rod is l, and we will increase the temperature of a rod by a small amount. ... The Coefficient of linear expansion of the given solid is denoted as a.


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Answer 2

Definition:

Linear expansion is defined as when a solid is heated then it will increase in it's length due to heat

L1=Lenght of rod

T1= initial temperature

T2= final temperature

L2= final length of rod when it is heated

ΔL=L2-L1

ΔT=T2-T1

Change in Length

ΔL∝L1 ===>a

Change in Temperature

ΔT∝ΔL    ===> b)

comparing eq  a and b

ΔL∝L1*ΔT

above eq can be written as,

alpha=ΔL/L1*ΔT

alpha is a coefficient of linear expansion.

alpha can be expressed in degree kelvin inverse oor degree centigrade inverse.

alpha*L1*ΔT=ΔL

ΔL=L2-L1

L2-L1= alpha*ΔT*L1

L2=L1*(alpha*ΔT+1)