A particle of mass m is attached to a spring of spring constant ‘k’ and has a natural frequency ${\mathrm{\omega }}_{\mathrm{o}}$. An external force F(t) proportional to $\cos \mathrm{\omega t}\left(\mathrm{\omega }\ne {\mathrm{\omega }}_{\mathrm{o}}\right)$ is applied to the oscillator. The maximum displacement of the oscillator will be proportional to

• A

  $\frac{\mathrm{m}}{{\mathrm{\omega }}_{\mathrm{o}}^2+{\mathrm{\omega }}^2}$

• B

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

• C

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

• D

  $\frac{\mathrm{m}}{\left({\mathrm{\omega }}_{\mathrm{o}}^2-{\mathrm{\omega }}^2\right)}$