A wire of density p is stretched between two clamps a distance L apart, while being subjected to an extension I.Y is the Young's modulus of the material of the wire. The lowest frequency of transverse vibration of the wire is given by wire is given by

• A

  $\mathrm{n}=\frac{1}{2\mathrm{L}}\sqrt{\left(\frac{\mathrm{YL}}{\mathrm{lρ}}\right)}$

• B

  $\mathrm{n}=\frac{1}{2\mathrm{L}}\sqrt{\left(\frac{\mathrm{Lρ}}{\mathrm{Yl}}\right)}$

• C

  $\mathrm{n}=\frac{1}{2\mathrm{L}}\sqrt{\left(\frac{\mathrm{Yl}}{\mathrm{Lρ}}\right)}$

• D

  $\mathrm{n}=\frac{1}{2\mathrm{L}}\sqrt{\left(\frac{\mathrm{YρL}}{\mathrm{l}}\right)}$