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The flow stress (in $MPa$) of a material is given by

                                                                             $\sigma =500\varepsilon ^{0.1}$,

where $ε$ is true strain. The Young’s modulus of elasticity of the material is $200$ $GPa$. A block of thickness $100$ $mm$ made of this material is compressed to $95$ $mm$ thickness and then the load is removed. The final dimension of the block (in $mm$) is _________
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