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The amplitude of vibration of a particle is given by where is 0 a b and c are positive the condition for single resonant frequency?
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The amplitude of vibration of a particle is given by where is 0 a b an...
For resonance, amplitude must be maximum which is possible only when the denominator of expression is zero i.e.
aω²−bω+c=0


⇒ω =+b+_√b²-4ac/2a


For a single resonant frequency, b=4ac
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