The length of a wire is 1.0 m and the area of cross-section is  $1.0\times {10}^{-2}{\mathrm{cm}}^2$. If the work done for increase in length by 0.2 cm is 0.4 joule, then Young's modulus of the material of the wire is 

• A

  $2.0\times {10}^{10}\mathrm{N}/{\mathrm{m}}^2$

• B

  $4\times {10}^{10}\mathrm{N}/{\mathrm{m}}^2$

• C

  $2.0\times {10}^{11}\mathrm{N}/{\mathrm{m}}^2$

• D

  $2\times {10}^{10}\mathrm{N}/{\mathrm{m}}^2$