$A$ steel wire of length $L$ and area of cross-section $A$ is suspended from a rigid support. If $Y$ is the Young's modulus of the material of the wire and $\alpha$ is the coefficient of linear expansion,then the increase in tension when the temperature falls by $t^{\circ} C$ is:
- A$\frac{YA}{\alpha t}$
- B$YA \alpha t$
- C$Y \alpha t$
- D$\frac{L \alpha t}{Y}$
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