Elasticity

A wire of length 0.5 m and area of cross-section 4×10−6m2 at a temperature of 100∘C is suspended vertically by fixing its upper end to the ceiling. The wire is then cooled to 0∘C, but is prevented from contracting, by attaching a mass at the lower end. If the mass of the wire is negligible, then the value of the mass attached to the wire is
[Young's modulus of material of the wire =1011Nm−2; coefficient of linear expansion of the material of the wire =10−5K−1 and acceleration due to gravity =10m s−2 ]