A material has a coefficient of volume expansion of 60 x 10^-6/ $\degree$C.What is its area coefficient of expansion? A)120 x 10^-6/ $\degree$C B)40 x 10^-6/ $\degree$C C)20 x 10^-6/ $\degree$C D)180 x 10^-6/ $\degree$C

Question

Quizplus · Accepted Answer

The relationship between the coefficient of volume expansion and the coefficient of area expansion is given by:
β = 3α
where β is the coefficient of volume expansion and α is the coefficient of area expansion.
Therefore, 
α = β/3 = 60 x 10^-6 / 3 = 20 x 10^-6 /°C
We can see that option B is the only one that matches this value.

A Material Has a Coefficient of Volume Expansion of 60 °\degree°

A Material Has a Coefficient of Volume Expansion of 60 $\degree$