There is some change in length when $$33000N$$ tensile force is applied on a steel rod of area of cross section $$10$$–$$3m2$$. The change in temperature required to produce the same elongation if the steel rod is heated is (The$$ modulus of elasticity is $$3$$ × $$1011N/m2$$ and the coefficient of linear expansion of steel is $$1.1$$ × $$10$$–$$5/0C)

Question

There is some change in length when $$33000N$$ tensile force is applied on a steel rod of area of cross section $$10$$–$$3m2$$. The change in temperature required to produce the same elongation if the steel rod is heated is (The$$ modulus of elasticity is $$3$$ × $$1011N/m2$$  and the coefficient of linear expansion of steel is $$1.1$$ × $$10$$–$$5/0C)

Infinity Learn · Accepted Answer

Free Thermal expansion Δl $$=$$ l.α.ΔtBy Hookes Law, Δl $$=$$ $$Fl/AYl$$α∆$$t=FlAYand$$ we have F $$=$$ YAαΔ$$t33000$$ $$=$$ $$3$$ x $$1011$$ x $$10-3$$ x $$1.1$$ x $$10-5$$ ΔtΔt $$=$$ $$100C$$

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