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A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a 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 ${\omega _0}$ natural frequency of oscillation of particle)
  • A${\omega _1} = {\omega _0}$ and ${\omega _2} \ne {\omega _o}$
  • B${\omega _1} \ne {\omega _0}$ and ${\omega _2} = {\omega _o}$
  • C${\omega _1} = {\omega _0}$ and ${\omega _2} = {\omega _o}$
  • D${\omega _1} \ne {\omega _0}$ and ${\omega _2} \ne {\omega _o}$
AIPMT 1998, Medium
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