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The amplitude of vibration of a particle is given by $a_{m} = \frac{a_{o}}{a ω^{2} - b ω + c}$ , where $a_{o}$ , a, b & c are positive. The condition for a single resonant frequency.

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b2 = 4ac

b2 > 4ac

b2 = 5ac

b2 < 4ac

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detailed solution

Correct option is A

for single resonant frequency aw2-bw+c=0 w = +b±b2-4ac2a for single value of resonant frequency the condition is discriminant =0, b2-4ac=0 ⇒b2=4ac

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The amplitude of vibration of a particle is given by am=aoaω2−bω+c, where ao, a, b & c are positive. The condition for a single resonant frequency.

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The amplitude of vibration of a particle is given by $a_{m} = \frac{a_{o}}{a ω^{2} - b ω + c}$ , where $a_{o}$ , a, b & c are positive. The condition for a single resonant frequency.