The amplitude of vibration of a particle is given by ${a_m} = ({a_0})/(a{\omega ^2} - b\omega + c);$ where ${a_0},a,b$ and $c$ are positive. The condition for a single resonant frequency is
A${b^2} = 4ac$
B${b^2} > 4ac$
C${b^2} = 5ac$
D${b^2} = 7ac$
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A${b^2} = 4ac$
a (a) For resonance amplitude must be maximum which is possible only when the denominator of expression is zero i.e. $a{\omega ^2} - b\omega + c = 0$
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