A copper bar having a coefficient of linear expansion of $17 \times 10 ^ { - 6 }$ 1/ºC is heated so that its temperature increases by 430ºC. If the original length of the bar was 10.05 m, the new length of the bar is

Question

Quizplus · Accepted Answer

The new length of the bar can be calculated using the formula for linear expansion: $\Delta L = L_0 \alpha \Delta T$, 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. Plugging in the given values: $\Delta L = 10.05 m \times 17 \times 10^{-6} / ^\circ C \times 430 ^\circ C = 0.073365 m$. Adding this change to the original length gives the new length: $10.05 m + 0.073365 m = 10.123365 m$, which rounds to $10.12 m$, making option A correct.

A Copper Bar Having a Coefficient of Linear Expansion Of 17