A 2.3-m-long metal bar is heated so that its temperature increases by 56ºC. The bar increases in length by 1.67 mm. The coefficient of linear expansion of the bar is

Question

Quizplus · Accepted Answer

The coefficient of linear expansion ($\alpha$) can be calculated using the formula $\Delta L = L_0 \alpha \Delta T$, where $\Delta L$ is the change in length, $L_0$ is the original length, $\alpha$ is the coefficient of linear expansion, and $\Delta T$ is the change in temperature. Rearranging the formula to solve for $\alpha$, we get $\alpha = \frac{\Delta L}{L_0 \Delta T}$. Substituting the given values, $\alpha = \frac{1.67 \times 10^{-3} \, \text{m}}{2.3 \, \text{m} \times 56 \, \text{ºC}} = 13 \times 10^{-6} \, \text{1/ºC}$.

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