The displacement of a damped oscillator is x(t)= (-0.2 t ) (3.2 t + ) where t is time in second. The time required for the amplitude of the oscillator to become 1 e^ 1.2 times its initial amplitude is

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Correct answer: B. 6s

For damped oscillator, x= e ^ -0.2 t (3.2 t + ) aligned & Amplitude, A = e ^ -0.2 t & For A =1 1 e ^ 1.2 & 1 e ^ 1.2 = e ^ -0.2 t 0.2 t =1.2 & t =6 ~s aligned

The displacement of a damped oscillator is x(t)= (-0.2 t ) (3.2 t + ) where t is time in second. The time required for the amplitude of the oscillator to become 1 e^ 1.2 times its initial amplitude is

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