A thin rod of negligible mass and area of cross-section 2∗10^−5 m^2 , suspended vertically from one end, has a length of 0.5 m at 200^∘ C. The rod is cooled to 0^∘C, but length is kept same by attaching a mass at the lower end. The value of this mass is (Young’s modulus = 10^11 N/m^2 , Coefficient of linear expansion 10^−5 K^−1 ).