Question

The SI unit for the coefficient of linear expansion is

• A. ${}^{\circ }C$
• B. $pe{r}^{\circ }C$
• C. $c{m}^2{/}^{\circ }C$
• D. none of these

Answer 1

The correct option is D none of these

The coefficient of linear expansion at temperature T is limit of average as $△T\to 0$,i.e.

$\alpha =\underset{△T\to 0}{lim}\frac{1}{L}\frac{△L}{△T}=\frac{1}{L}\frac{dL}{dT}$

For units, $\alpha =\frac{1}{m}\frac{m}{K}\alpha =\frac{1}{K}$

S.I. unit of $\alpha$ is $perKelvin$.