Steel wire of length ′L′ at 40∘C is suspended from the ceiling and then a mass ′m′ is hung from its free end. The wire is cooled down from 40∘C to 30∘C to regain its original length ′L′. The coefficient of linear thermal expansion of the steel is 10−5/∘C, Young's modulus of steel is 1011 N/m2 and radius of the wire is 1 mm. Assume that L>> diameter of the wire. Then the value of ′m′ in kg is nearly.

Steel wire of length ′L′ at 40∘C is suspended from the ceiling a

1.	Steel wire of length ′L′ at 40∘C is suspended from the ceiling and then a mass ′m′ is hung from its free end. The wire is cooled down from 40∘C to 30∘C to regain its original length ′L′. The coefficient of linear thermal expansion of the steel is 10−5/∘C, Young's modulus of steel is 1011 N/m2 and radius of the wire is 1 mm. Assume that L>> diameter of the wire. Then the value of ′m′ in kg is nearly.
Answer» Steel wire of length $^{'} L^{'} a t 40^{\circ} C$ is suspended from the ceiling and then a mass $^{'} m^{'}$ is hung from its free end. The wire is cooled down from $40^{\circ} C t o 30^{\circ} C$ to regain its original length $^{'} L^{'}$ . The coefficient of linear thermal expansion of the steel is $10^{- 5 / \circ} C$ , Young's modulus of steel is $10^{11} N / m^{2}$ and radius of the wire is $1 m m$ . Assume that $L >>$ diameter of the wire. Then the value of $^{'} m^{'}$ in kg is nearly.

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