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(D) In forced oscillations,the amplitude of vibration at resonance is given by $A = \frac{F_0}{\sqrt{m^2(\omega^2 - \omega_0^2)^2 + b^2\omega^2}}$,whe

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Damping force is small

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(D) In forced oscillations,the amplitude of vibration at resonance is given by $A = \frac{F_0}{\sqrt{m^2(\omega^2 - \omega_0^2)^2 + b^2\omega^2}}$,where $b$ is the damping constant.When the damping force is small (i.e.,$b$ is small),the denominator becomes very small at resonance (where $\omega \approx \omega_0$),leading to a very large amplitude.Furthermore,the sharpness of the resonance curve is inversely proportional to the damping. $A$ smaller damping force results in a narrower and taller resonance peak,making the resonance curve sharper.

In the case of a forced vibration,the resonance curve becomes very sharp when the

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