How Does a Charged Particle Behave in a Non-Uniform Electric Field?

[prabhat rao]

A particle having mass m and charge q moves along a line under the action of an electric field E = alpha – beta *x where alpha and beta are positive constants and x is the distance from a point where the particle was initially at rest. Then, for an observer moving with acceleration q*alpha/m

1.) The motion of the particle is simple oscillatory
2.) The amplitude of the particle is alpha/beta
3.) The mean position of the particle is at x = alpha/beta
4.) The maximum acceleration of the particle is q*alpha/m

Please answer the question

 

[christianjb]

Please show your attempt at a solution.

 

[prabhat rao]

well on working out the problem i got the answers 1) , but there is a multiple answer to the question