A particle of mass m is attached to a spring (of spring constant k) and has a natural angular frequency ${\mathrm{\omega }}_0$ -An external force F (t) proportional to $\mathrm{cos\omega }\mathrm{t}\left(\right(\mathrm{\omega }\ne {\mathrm{\omega }}_0)$ 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

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

• C

  $\frac{1}{\mathrm{m}({\mathrm{\omega }}_1^2+{\mathrm{\omega }}^2)}$

• D

  $\frac{\mathrm{m}}{{\mathrm{\omega }}_1^2+{\mathrm{\omega }}^2}$