Question

# During the phenomenon of resonance:The amplitude of oscillations becomes largeThe frequency of oscillations becomes largeThe time period of oscillation becomes largeAll of the above

Solution

## The correct option is A The amplitude of oscillations becomes largeAngular frequency of free damped oscillations is given by ω′=√ω20−γ2 When γ<<ω0 (i.e weak damping), then ω′≈ω0. The maximum amplitude of forced oscillations is given by Amax=F02mγ(√ω20−γ2) .....(1) At resonance, Amax=F02mγω0. Clearly this is the largest value , as for ω′<ω0 or ω′>ω0, the denominator value of (1) increases, thus the value of Amax decreases. Thus, during the phenomenon of resonance, the amplitude of oscillation becomes large, because applied frequency is equal to natural frequency.

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