There is some change in length when a $$33000$$ N tensile force is applied on a steel rod of area of $$cross-$$ section $$10-3m-2$$. The change of temperature required to produce the same elongation, if the steel rod is heated is (Take$$, modulus of elasticity is $$3$$ x $$1011$$ $$Nm-2$$ and coefficient of linear expansion of steel is $$11$$ X $$10-5$$ $$/0C)

Question

There is some change in length when a $$33000$$ N tensile force is applied on a steel rod of area of $$cross-$$ section $$10-3m-2$$. The change of temperature required to produce the same elongation, if the steel rod is heated is (Take$$, modulus of elasticity is $$3$$ x $$1011$$ $$Nm-2$$ and coefficient of linear expansion of steel is  $$11$$ X $$10-5$$ $$/0C)

Infinity Learn · Accepted Answer

Modulus of elasticity  $$=$$ Force  Area ×lΔ$$l3$$×$$1011=3300010$$−$$3$$×lΔlΔ$$ll=3300010$$−$$3$$×$$13$$×$$1011=11$$×$$10$$−$$5Change$$ in length,  Δ$$ll=$$αΔ$$T11$$×$$10$$−$$5=1.1$$×$$10$$−$$5$$×ΔT⇒ Δ$$T=100C$$

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