A solid copper cyinder of length \(50 \text{ cm}\) is placed b a horizontal surface and subjected to a vertical compressive force of \(1200 \text{ N}\) directed downwards and distributed uniformly over the end face. If the resulting change of the volume of th cylinder is \(1.5 \times 10^{-3} \text{ mm}^3\). Find the Poisson's ratio of copper.

**Details and assumption**

Young's modulus of copper is \(120 \times 10^{9} \text{ N/m}^2\)

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