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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
- ω1 < ω2 when damping is small and ω1 > ω2 when damping is large
- ω1 = ω2
- ω1 = ω2
- ω1 < ω2
Correct answer: ω1 < ω2
Solution
In forced oscillation, the amplitude is maximized at the resonance frequency, which is lower than the frequency at which energy is maximized due to damping effects. When damping is small, the system can respond more effectively at a lower frequency, leading to the condition where ω1 is less than ω2.
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