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The amplitude of a forced oscillator as a function of angular frequency of the driving force as shown in figure. The amplitude is greatest if

$\large \omega$ = natural angular frequency of body

$\large {\omega _d}\,$ = angular frequency of driving force

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$\large {\omega _d}\, > \,\omega$

$\large {\omega _d}\, < \,\omega$

Question Image

$\large {\omega _d}\, = \,\omega$

answer is D.

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Detailed Solution

Amplitude is maximum at resonance and $\large {\omega _d}\, = \,\omega$

For forced oscillation with damper, amplitude is given by

Question Image

Clearly 'A' becomes maximum at $\large \omega \, = \,{\omega _d}$

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