A particle of mass m is attached to a spring (of spring constant k) and has a natural angular frequency ${\mathrm{ω}}_0\text{. }$. An external force F(f) proportional to cos $\mathrm{ωt}\left(\mathrm{ω}≠{\mathrm{ω}}_0\right)$is applied to the oscillator. The time displacement of the oscillator will be proportional to

• A

  $\frac{\mathrm{m}}{{\mathrm{ω}}_0^2−{\mathrm{ω}}^2}$

• B

  $\frac{1}{\mathrm{m}\left({\mathrm{ω}}_0^2−{\mathrm{ω}}^2\right)}$

• C

  $\frac{1}{\mathrm{m}\left({\mathrm{ω}}_0^2+{\mathrm{ω}}^2\right)}$

• D

  $\frac{\mathrm{m}}{{\mathrm{ω}}_0^2+{\mathrm{ω}}^2}$