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

Moderate

A

$\large {\omega _1}\, = \,{\omega _0}$ and $\large {\omega _2}\, \ne \,{\omega _0}$
B

$\large {\omega _1}\, = \,{\omega _o}$ $\large {\omega _2}\, = \,{\omega _o}$
C

$\large {\omega _1}\, \ne \,{\omega _o}\,and\,\,\,{\omega _2}\, = \,{\omega _o}\,\,$
D

$\large {\omega _1}\, \ne \,{\omega _o}\,and\,\,\,{\omega _2}\, \ne \,{\omega _o}\,\,$