Question

What should be the temperature rise of a brass rod $(\alpha =2\times {10}^{-5}{C}^{-1})$ so as to increase its length by 1%?

Answer 1

Coefficient of linear expansion is defined as the change in length. per unit length per unit change in temperature

$\alpha =\frac{△L}{L}\times \frac{1}{△T}△T=\frac{△L}{L}\times \frac{1}{\alpha }=\frac{1}{100}\times \frac{1}{2\times {10}^{-5}}=\frac{1000}{2}△T=500℃$