A steel wire 1.5 m long and of radius 1 mm is attached with a load 3 kg at one end the other end of the wire is fixed. It is whirled in a vertical circle with a frequency 2 Hz. Find the elongation of the wire when the weight is at the lowest position. [\[Y=2\times {{10}^{11}}N/{{m}^{2}}\,\,\,\,\,\,g=10m{{s}^{-2}}\]]

• A. \[1.77\times {{10}^{-3}}m\]
• B. \[7.17\times {{10}^{-3}}m\]
• C. \[3.17\times {{10}^{-7}}m\]
• D. \[1.37\times {{10}^{-7}}m\]