The amount of elastic potential energy per unit volume (in SI unit) of a steel wire of length \(100~\text{cm}\) to stretch it by \(1~\text{mm}\) is:
(given: Young's modulus of the wire = \(Y=2.0\times 10^{11}~\text{N/m}^2\))
1. \(10^{11}~\text{J/m}^3\)
2. \(10^{17}~\text{J/m}^3\)
3. \(10^{7}~\text{J/m}^3\)
4. \(10^{5}~\text{J/m}^3\)