$A$ small mass $m$ is suspended at the end of a wire having negligible mass,length $L$,and cross-sectional area $A$. The frequency of oscillation for the $S.H.M.$ along the vertical line is ($Y =$ Young's modulus of the wire).

• A
  $\frac{1}{2 \pi}\left(\frac{YA}{mL}\right)^{\frac{1}{2}}$
• B
  $\frac{2 \pi YA}{mL}$
• C
  $\frac{YA}{2 \pi m L}$
• D
  $2 \pi\left(\frac{YA}{mL}\right)^{\frac{1}{2}}$