The amplitude of vibration of a particle is given by `a_m=(a_0)//(aomega^2-bomega+c)`, where `a_0`, a, b and c are positive. The condition for a single resonant frequency is

The amplitude of vibration of a particle is given by a_(m)=(a_(0))/(aw^(2)-bw+c) where a_(0) , a , b and c are positive. The condition for a simple resonant frequency

The amplitude of velocity of a particle is given by, V_(m)=V_(0)//(a omega^(2)-b omega+c) where V_(0) , a, b and c are positive : The condition for a single resonant frequency is

The amplitude of a particle in damped oscillation is given by A=A_0e^(-kt) where symbols have usual meanings if at time t=4s,the amplitude is half of initial amplitude then the amplitude is 1/8 of initial value t=