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Q.

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

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answer is B.

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Detailed Solution

In forced vibration, amplitude of oscillation is given byA=F0mω02-ωe2+ωe2bm2Amplitude when ω02-ωe2 =0 ω0=ωeHere ω0= Natural frequency of oscillationωe= Frequency of external periodic force.Again, energy of oscillation ∞A2

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