The adjacent graph shows the extension \[(\Delta l)\] of a wire of length 1m suspended from the top of a roof at one end with a load W connected to the other end. If the cross sectional area of the wire is \[{{10}^{-6}}{{m}^{2}},\] calculate the young?s modulus of the material of the wire [IIT-JEE (Screening) 2003]

• A.             \[2\times {{10}^{11\,}}N/{{m}^{2}}\]    
• B.             \[2\times {{10}^{-11}}N/{{m}^{2}}\]
• C.             \[3\times {{10}^{-12}}N/{{m}^{2}}\]
• D.               \[2\times {{10}^{-13}}N/{{m}^{2}}\]