A Particle, With Restoring Force Proportional To Displacement And Damping Force Proportional To Velocity Is Subjected To A Force F sin ωt. If The Amplitude Of The Particle Is Maximum At ω = ω1 and Its Energy Is Maximum At ω = ω2, Then (ω0 is The Angular Frequency Of Natural Oscillations Of The Particle)

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A particle, with restoring force proportional to displacement and damping force proportional to velocity is subjected to a force F sin ωt. If the amplitude of the particle is maximum at ω = ω1 and its energy is maximum at ω = ω2, then (ω0 is the angular frequency of natural oscillations of the particle)


Correct option is


ω1 = ω0, ω2 = ω

In resonant oscillations, the amplitude and velocity (and hence energy) maxima occur when the angular frequency ω of the externally applied force equals the angular frequency ω0 of the natural oscillations.




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