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A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a
\( \mathrm{P} \) 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
W \( \omega=\omega_{2} \), then (where \( \omega_{0} \) is the natural frequency of oscillation of particle)
[CBSE PMT 1998]
(a) \( \omega_{1}=\omega_{0} \) and \( \omega_{2} \neq \omega_{0} \)
(b) \( \omega_{1}=\omega_{0} \) and \( \omega_{2}=\omega_{0} \)
(c) \( \omega_{1} \neq \omega_{0} \) and \( \omega_{2}=\omega_{0} \)
(d) \( \omega_{1} \neq \omega_{0} \) and \( \omega_{2} \neq \omega_{0} \)
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