a particle of mass m and charge q is placed in an electric field e which varies with time t as e=e0sinwt. it will undergo shm of amplitude?

F=qe0sinwt. a= (qesinwt)/m dv=((qesinwt)/m) dt Integrating: V= - (qecoswt)/wm dx/dt= - (qecoswt)/wm Integrating the same way: X= - (qesinwt)/w2m Comparing with x=Asinwt; A=(qe0)/w2m We can ignore the minus as it only signifies initial direction and nothing more than that.