A particle executes SHM. Its velocities are v₁ and v₂ at displacements x₁ and x₂ from mean position respectively. The frequency of oscillation will be:

• A

  $\frac{1}{2\mathrm{\pi }}{\left[\frac{{\mathrm{v}}_1^2-{\mathrm{v}}_2^2}{{\mathrm{x}}_1^2-{\mathrm{x}}_2^2}\right]}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$

• B

  $\frac{1}{2\mathrm{\pi }}{\left[\frac{{\mathrm{v}}_1^2+{\mathrm{v}}_2^2}{{\mathrm{x}}_2^2+{\mathrm{x}}_1^2}\right]}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$

• C

  $\frac{1}{2\mathrm{\pi }}{\left[\frac{{\mathrm{x}}_1^2+{\mathrm{x}}_2^2}{{\mathrm{v}}_1^2+{\mathrm{v}}_2^2}\right]}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$

• D

  $\frac{1}{2\mathrm{\pi }}{\left[\frac{{\mathrm{x}}_1^2-{\mathrm{x}}_2^2}{{\mathrm{v}}_1^2-{\mathrm{v}}_2^2}\right]}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$