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Q.

A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force Fsinωt. 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)

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a

ω1=ω0 and ω2≠ωo

b

ω1=ω0 and ω2=ωo

c

ω1≠ω0 and ω2=ωo

d

ω1≠ω0 and ω2≠ωo

answer is C.

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Detailed Solution

Energy of particle is maximum at resonant frequency i.e., ω2=ωo. For amplitude resonance (amplitude maximum) frequency of driver force ω=ωo2−b22m2 ⇒ω1≠ωo

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