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

The amplitude of a damped oscillator becomes 1/27 th of its iniital va

1.	The amplitude of a damped oscillator becomes 1/27 th of its iniital 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`