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Question

A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force F sinω. If the amplitude of the particle is maximum for ω=ω1 and the energy of the particle is maximum for ω=ω2 then (where ω0 natural frequency of oscillation of particle)

A
ω1=ω0 and ω2ω0
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B
ω1=ω0 and ω2=ω0
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C
ω1ω0 and ω2=ω0
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D
ω1ω0 and ω2ω0
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Solution

The correct option is C ω1ω0 and ω2=ω0

As we know the energy of the particle is maximum at natural frequency. Since, the restoring force is proportional to displacement and resisting force is proportional to velocity. So the correct option is ω0=ω2&ω1ω0


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