1.

The amplitude of a damped oscillator becomes `(1)/(27)^(th)` of its initial value after `6` minutes. Its amplitude after `2` minutes isA. `(A_(0))/(3)`B. `(A_(0))/(9)`C. `(A_(0))/(54)`D. `(A_(0))/(81)`

Answer» Correct Answer - A
For damped oscillator `A = A_(0)^(-bt)`
Here `(A_(0))/(27) = A_(0)e^(-6b), A_(2) = A_(0)e^(-2b) = A_(0) [e^(-6b)]^((1)/(3))`


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