A 0.1kg mass is suspended from a wire of negligible mass. The length of the wire is 1m  and its cross sectional area is $4.9\times {10}^{-7}{\text{\hspace{0.17em}m}}^2$ . If the mass is pulled  slightly in the vertically downward direction and then released, it performs simple harmonic motion of angular frequency  $140\text{\hspace{0.17em}rad}/\text{s}$. Then the Young’s modulus of material of the wire is(Assume that the Hooke’s law is valid throughout the motion )

• A

  $4\times {10}^9\text{\hspace{0.17em}N}/{\text{m}}^{\text{2}}$

• B

  $14\times {10}^9\text{\hspace{0.17em}N}/{\text{m}}^{\text{2}}$

• C

  $4\times {10}^8\text{\hspace{0.17em}N}/{\text{m}}^{\text{2}}$

• D

  $5\times {10}^8\text{\hspace{0.17em}N}/{\text{m}}^{\text{2}}$