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(B) When a system is subjected to an external periodic force,it undergoes forced oscillations. The amplitude of these forced oscillations depends on t

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$\omega_d = \omega$

Vedclass · Answer

(B) When a system is subjected to an external periodic force,it undergoes forced oscillations. The amplitude of these forced oscillations depends on the driving frequency $\omega_d$ and the natural frequency $\omega$ of the system. As the driving frequency $\omega_d$ approaches the natural frequency $\omega$,the amplitude of the oscillations increases. When $\omega_d = \omega$,the system reaches a state known as resonance,where the amplitude of oscillations becomes maximum. Therefore,the condition for maximum amplitude is $\omega_d = \omega$.

When an external force with angular frequency $\omega_d$ acts on a system of natural angular frequency $\omega$,the system oscillates with angular frequency $\omega_d$. The condition for the amplitude of oscillations to be maximum is

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