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Oscillations
Question
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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

  • ω1 > ω2

  • ω1 < ω2 when damping is small and ω1 > ω2 when damping is large

  • ω1 < ω2

Answer

A.

ω1 = ω2

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 ω1 = ω2

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