Question

The Unit of Coefficient of Linear Expansion is _______

Answer 1

Coefficient of Linear Expansion

1. The rate of change of unit length per unit degree change in temperature is known as the Coefficient of Linear Expansion.

Explanation

The coefficient of linear expansion at temperature T is the limit of average as

$∆T\to 0$, i.e.

$$\begin{gathered} \alpha =\underset{∆T\to 0}{\lim }\frac{1}{L}\frac{∆L}{∆T}=\frac{1}{L}\frac{dL}{dT} \\ \alpha =\frac{1}{L}\frac{dL}{dT} \end{gathered}$$

The SI unit of L is meter (m) and the SI unit of T is Kelvin (K).

$$\begin{gathered} \alpha =\frac{1}{m}\frac{m}{K} \\ \alpha =\frac{1}{K} \\ \alpha =°K^{-1} \end{gathered}$$

The Unit of Coefficient of Linear Expansion is $°K^{-1}$