A brass wire $$1.8$$ m long at $$27$$°C is held taut with little tension between the two rigid supports. If the wire is cooled to a temperature of $$-39$$°C , the tension developed in the wire, if its diameter is $$2.0$$ mm, Coefficient of linear expansion of brass $$=$$ $$2.0$$×$$10-5K-1$$ ; Young’s modulus of brass $$=$$ $$0.91$$×$$1011Pa$$

Question

Infinity Learn · Accepted Answer

Decrease in length due to tensionΔ$$l=FlAY$$   ...(1)Increase$$ in length due to rise in temperatureΔ$$=la$$Δt   ...$$(2) from (1) and (2) $$FlAY=l$$αΔt⇒$$F=YA$$αΔT

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