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At maximum energy of the particle, velocity resonance takes place, which occurs when frequency of external periodic force is equal to natural frequency of undamped vibrations, i.e., ω₀ = ω₀₀.

1. ω₀ = ω₀₀
2. ω₀ ≠ ω₀₀
3. ω₀ > ω₀₀
4. ω₀ < ω₀₀

Correct answer: ω₀ = ω₀₀

Solution

Resonance occurs when the frequency of the external periodic force matches the natural frequency of the system, leading to maximum energy transfer. Hence, ω₀ = ω₀₀.

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