An electron moves a distance of 8cm when accelerated from rest by an electric field of strength `3 xx 10^(4) NC^(-1).` Calculate the tme of travel.

Explanation

Data supplied,
`S=8 xx 10^(-2), u=0, E=3 xx 10^(4) NC^(-1), q=e =1.6 xx 10^(-19)C`
`m=9 xx 10^(-31)kg`
`S=ut+1/2 at^(2)`
`F=qE =ma therefore a=(q E)/(m)`
`a=(1.6 xx 10^(-19) xx 3 xx 10^(8))/(9 xx 10^(-31))=0.533 xx 10^(16) m//s^(2) therefore S=1/2 at^(2) therefore t=sqrt((2S)/(a)`
`t=sqrt((2 xx 8 xx 10^(-2))/(0.533 xx 10^(16)))=5.48 xx 10^(-9)sec`