The amplitude of a damped oscillator (1)/( 27) becomes th of its initial value after 6 minutes. What the amplitude after 2 minutes?

The amplitude of a damped oscillator (1)/( 27) becomes th of its initi

1.	The amplitude of a damped oscillator (1)/( 27) becomes th of its initial value after 6 minutes. What the amplitude after 2 minutes?
Answer» Solution :For damped oscillator `A= A_(0)e^(-BT)` here `(A_(0))/(27) = A_(0)e^(-6b)` that is `e^(-6b)= 1//27` `A_(2)= A_(0)e^(-2B)= A_(0)[e^(-6b)]^(1//3)= A_(0)((1)/(27))^((1)/(3))= A_(0)//3`