An object of mass \(15 \mathrm{~kg}\) is attached to the end of a metal wire of unstretched length \(1.0 \mathrm{~m}\). The object is then whirled in a vertical circle with an angular velocity of 4 \(\mathrm{rad} / \mathrm{s}\) at the bottom of the circle. If the cross sectional area of the wire is \(0.05 \mathrm{~cm}^2\) and Young's modulus of metal is \(2 \times 10^{11} \mathrm{~N} / \mathrm{m}^2\), then the elongation of the wire when the mass is at the lowest point of its path (Take \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\) )

1. A \(0.27 \mathrm{~mm}\)
2. B \(0.39 \mathrm{~mm}\)
3. C \(0.55 \mathrm{~mm}\)
4. D \(0.25 \mathrm{~mm}\)