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Question

The amplitude of vibration of a particle is given by am=a0aw2bw+c Where a0,a,b and c are positive. The condition for a single resultant frequency is

A
b2=4ac
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B
b2>4ac
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C
b2=5ac
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D
b2=7ac
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Solution

The correct option is A b2=4ac
For resonance, amplitude must be maximum which is possible only when the denominator of expression is zero i.e.
aω2bω+c=0

ω =+b±b24ac2a
For a single resonant frequency, b=4ac

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