1.

The amplitude of a damped oscillator becomes 1/(27) 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`


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