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

• A

  $\frac{\mathrm{m}}{{\mathrm{\omega }}_0^2-{\mathrm{\omega }}^2}$

• B

  $\frac{1}{\mathrm{m}\left({\mathrm{\omega }}_0^2-{\mathrm{\omega }}^2\right)}$

• C

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

• D

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