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A particle, with restoring force proportional to displacement and resistve force proportional to velocity is subjected to a force F sin ω0. If the amplitude of the particle is maximum for ω = ω1 and the energy of the particle is maximum for ω = ω2, then
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- ω1 = ω0 and ω2 ≠ ω0
- ω1 = ω0 and ω2 = ω0
- ω1 ≠ ω0 and ω2 = ω0
- ω1 ≠ ω0 and ω2 ≠ ω0
Correct Option: C
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. ω2 = ω0.
Further, amplitude resonance takes place at a frequency of external force which is less than the frequency of undamped natural vibrations, i.e. . ω1 ≠ ω0 .
