A steel wire of length L at 40^∘C is suspended from the ceiling and a mass m is hung from its free end. The wire is cooled from 40^∘C to 30^∘C to regain its original length L. The coefficient of linear expansion of steel is 10⁻5/^∘C. Young’s modulus of steel is 10¹1N/m² and radius of the wire is 1mm. Assume diameter of the wire. Then the value of m in kg is nearly
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If a wire is prevented from changing length during temperature change:
stress = Y α Δ T