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A particle of mass \( m \) is attached to a spring of spring constant \( k \) and has a natural angular frequency \( \omega_{0} \)-An external force \( F(t) \) proportional to \( \cos \omega t\left(\left(\omega \neq \omega_{0}\right)\right. \) is
\( \mathrm{P} \) applied to the oscillator. The time displacement of the W oscillator will be proportional to
[AIEEE 2004]
(a) \( \frac{m}{\omega_{0}^{2}-\omega^{2}} \)
(b) \( \frac{1}{m\left(\omega_{0}^{2}-\omega^{2}\right)} \)
(c) \( \frac{1}{m\left(\omega_{0}^{2}+\omega^{2}\right)} \)
(d) \( \frac{m}{\omega_{0}^{2}+\omega^{2}} \)
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