$A$ metallic rod having area of cross-section $A$,Young's modulus $Y$,coefficient of linear expansion $\alpha$,and length $L$ is tied between two strong pillars. If the rod is heated through a temperature $t \, ^\circ C$,then how much force is produced in the rod?
- A$Y A \alpha t$
- B$Y A \alpha t / L$
- C$Y A L \alpha t$
- D$Y A \alpha / t$
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