A steel bridge is 1000 m long at $- 20 ^ { \circ } \mathrm { C }$ in winter. What is the change in length when the temperature rises to $40 ^ { \circ } \mathrm { C }$ in summer? The average coefficient of linear expansion of this steel is $11$ $\times 10 ^ { - 6 } K - 1$
A) 0.33 m
B) 0.44 m
C) 0.66 m
D) 0.55 m

Question

A steel bridge is  1000 m  long at $- 20 ^ { \circ } \mathrm { C }$ in winter. What is the change in length when the temperature rises to $40 ^ { \circ } \mathrm { C }$ in summer? The average coefficient of linear expansion of this steel is $11$  $\times 10 ^ { - 6 } K - 1$
A)  0.33 m
B)  0.44 m
C)  0.66 m
D)  0.55 m

Quizplus · Accepted Answer

The change in length $\Delta L$ can be calculated using the formula $\Delta L = L_0 \alpha \Delta T$, where $L_0 = 1000$ m is the original length, $\alpha = 11 \times 10^{-6} K^{-1}$ is the coefficient of linear expansion, and $\Delta T = 40^\circ C - (-20^\circ C) = 60^\circ C$ is the change in temperature. Thus, $\Delta L = 1000 \times 11 \times 10^{-6} \times 60 = 0.66$ m.

A Steel Bridge Is 1000 M Long At -