Steel wire of length 'L' at $$40^\circ C$$ is suspended from the ceiling and then a mass 'm' is hung from its free end. The wire is cooled down from $$40^\circ C$$ to $$30^\circ C$$ to region 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 mm. Assume that L >> diameter of the wire. Then the value of 'm' in kg is nearly.