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Question 63 of 66

Q.Explain Resonance. Give an example.

Tamil Nadu DgeTamil Nadu HSC First Year (DGE) Board 2025Subjective· 2mImportance★★★★★
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Resonance is the dramatic rise in oscillation amplitude that occurs when a periodic driving force's frequency matches the system's natural frequency -- illustrated by pushing a swing in rhythm with its own natural period.

Every oscillating system (a pendulum, a spring-mass system, a swing, a stretched string) has its own natural frequency f0, the frequency at which it oscillates if displaced and left alone (a free oscillation).

If an external periodic force of frequency f is applied to the system (a forced oscillation), the amplitude of the resulting steady-state oscillation depends strongly on how close f is to f0. As f approaches f0, the amplitude increases sharply, reaching a maximum exactly when f = f0 -- this condition is called resonance.

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