question_answer

A particle having mass m and charge q moves along a line under the action of electric field \[E=\alpha -\beta x,\] where \[\alpha \] and \[\beta \] are positive constants and x is the distance from a point where the particle initially is at rest. Therefore for an observer moving with an acceleration \[\frac{q\alpha }{m},\]

(i) The motion of particle is oscillatory

(ii) The amplitude of particle is \[\frac{\alpha }{\beta }\]

(iii) The mean position of particle is \[x=\frac{\alpha }{\beta }\]

(iv) Maximum acceleration of particle is \[\frac{q}{\beta }\alpha \]

A) Only (i) is correct                                       

B) Only (i) and (iv) are correct

C) Only (i), (ii) and (iii) are correct                        

D) (i), (ii), (iii) and (iv) are correct