$A$ particle with a restoring force proportional to displacement and a resisting force proportional to velocity is subjected to a driving force $F \sin \omega t$. If the amplitude of the particle is maximum for $\omega = \omega_1$ and the energy of the particle is maximum for $\omega = \omega_2$,then (where $\omega_0$ is the natural frequency of oscillation of the particle):

  • A
    $\omega_1 = \omega_0$ and $\omega_2 \neq \omega_0$
  • B
    $\omega_1 \neq \omega_0$ and $\omega_2 = \omega_0$
  • C
    $\omega_1 = \omega_0$ and $\omega_2 = \omega_0$
  • D
    $\omega_1 \neq \omega_0$ and $\omega_2 \neq \omega_0$

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