Question

The coefficient of cubical expansion of copper is $5.1\times {10}^{-5}$ per $C$. Coefficient of linear expansion is $K\times {10}^{-5}$ per $C$. Find value of K.

Answer 1

Here by using relation between coefficient of linear expansion and coefficient of cubical expansion, we get

$r=3\alpha$

$\alpha$ (linear coefficient of expansion)

$=\frac{1}{3}r$ (coefficient of cubical expansion)

$=\frac{1}{3}\times 5.1\times {10}^{-5}$

$=1.7\times {10}^{-5}per$ $C$