A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force $\mathrm{Fsin\omega t}$. If the amplitude of the particle is maximum for $\mathrm{\omega }={\mathrm{\omega }}_1$ and the energy of the particle is maximum for $\mathrm{\omega }={\mathrm{\omega }}_2$, then (where ${\omega }_0$ natural frequency of oscillation of particle)

• A

  ${\mathrm{\omega }}_1={\mathrm{\omega }}_0$ and ${\mathrm{\omega }}_2\ne {\mathrm{\omega }}_{\mathrm{o}}$

• B

  ${\mathrm{\omega }}_1={\mathrm{\omega }}_0$  and  ${\mathrm{\omega }}_2={\mathrm{\omega }}_{\mathrm{o}}$

• C

  ${\mathrm{\omega }}_1\ne {\mathrm{\omega }}_0$ and ${\mathrm{\omega }}_2={\mathrm{\omega }}_{\mathrm{o}}$

• D

  ${\mathrm{\omega }}_1\ne {\mathrm{\omega }}_0$ and ${\mathrm{\omega }}_2\ne {\mathrm{\omega }}_{\mathrm{o}}$