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Find the limiting values of amplitude of a force damped oscillator, when (i)  ωd<<ω0 and (ii)  ωd>>ω0

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a
Fmω02,Fmωdωd2+bm2
b
2Fmω02,F2mωdωd2+bm2
c
F2mω02,Fmωd2ωd2+bm2
d
F2mω02,F2mωdωd2+bm2

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detailed solution

Correct option is A

A=F0/mω02−ωd22+bωdm2 When ωd<<ω0A=F0/mω022=F0mω02When ωd>>ω0A=F0/mωd4+bm2ωd2=Fmωdωd2+bm2


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