Q.
The amplitude of vibration of a particle is given by am=(a0)/(aω2−bω+c); where a0,a,b and c are positive. The condition for a single resonant frequency is
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a
b2=4ac
b
b2>4ac
c
b2=5ac
d
b2=7ac
answer is A.
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Detailed Solution
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±b2−4ac2aFor a single resonant frequency, b2 = 4ac.
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