In forced oscillation of a particle the amplitude is maximum for a frequency $\omega_{1}$ of the force, while the energy is maximum for a frequency $\omega_{2}$ of the force, then
AIEEE 2004, Medium
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$\omega ^2=\pi ^2\Rightarrow \omega =\pi \Rightarrow f=\frac {\omega }{2\pi }=\frac {\pi }{2\pi }=\frac {1}{2}Hz$
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