In dampled oscillation , the amplitude of oscillation is reduced to half of its initial value
Channel: Doubtnut
Date: 2020-03-29

In dampled oscillation , the amplitude of oscillation is reduced to half of its initial value of 5 cm at the end of 25 osciallations. What will be its amplitude when the oscillator completes 50 oscillations ? Hint `: A= A_(0) e^((-bt)/(2m))` , let T be the time period of oxcillation Case -I `: (A_(0))/(2) = A_(0)e^(-bx(25T)/(2m))` or `(1)/(2)= e^(-25(bT)/(2m))` ......(i) Case -II` A=A_(0)e^(-bxx50(T)/(2m))` `A _(0)(e^(-25(bT)/(2m)))^(2)` Use euation (i) to find a .