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A thin rod having a length of 1m and are...

A thin rod having a length of `1m` and area of cross-section `3times10^(-6)m^(2)` is suspended vertically from one end.The rod is cooled from `210^(@)C` to `160^(@)C`.After cooling,a mass `M` is attached at the lower end of the rod such that the length of rod again becomes `1m`.Young's modulus and coefficient of linear expansion of the rod are `2times10^(11)Nm^(2)` and `2times10^(-5)K-1` respectively.The value of `M` is ____` kg`.(Take `g=10ms^(2)` )

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