Calculate the time taken for particele energy to drop to half its initial value in the case of a damped oscillator.

Calculate the time taken for particele energy to drop to half its init

1.	Calculate the time taken for particele energy to drop to half its initial value in the case of a damped oscillator.
Answer» SOLUTION :We know that `E(t)=E(0)e^(-BT//m)` where`""E(0)=(1)/(2)KA^(2)` `"Given,"E(t)=(1)/(2)(E(0)),""therefore ""(1)/(2)=e^(-bt//m)=e^((1)/(bt//m))` `"i.e."e^(bt//m)=2""(bt)/(m)=2.303log 2=0.693` `t=(0.693m)/(B)`