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An thin rod of negligible mass and area of cross - section `4xx10^(-6)m^(2)`, suspended vertically from one end, has a length of 0.5 m at `100^(@)C`. The rod is cooled to `0^(@)C` but prevented from contracting by attaching a mass at the lower end. The value of this mass is ( in Kg )
(Given, coefficient of linear expansion is `10^(-5^(@))C^(-1)`, Young's modulus is `Y=10^(11)Nm^(-2) and g=10ms^(-2))`

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