The graph shown below gives the extension ($\Delta$L) of a wire of length 1 m 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 m², calculate the Young's modulus of the material of the wire.

• A

  $2\times {10}^{11}{\mathrm{Nm}}^{-2}$

• B

  $2\times {10}^{-11}{\mathrm{Nm}}^{-2}$

• C

  $3\times {10}^{-12}{\mathrm{Nm}}^{-2}$

• D

  $2\times {10}^{-13}{\mathrm{Nm}}^{-2}$