Wave optics: oscillation of particle, Physics

In forced oscillation of a particle, the amplitude is maximum for a frequency  ω1 of the force while  the energy is maximum for a frequency  ω2 of the force, then what is relationship b/w w1 and w2 ?

Solution) For amplitude of oscillation and energy to be maximum, frequency of force must be equal to the initial frequency and this is only possible in case of resonance.In resonance state w1=w2

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