A particle of diameter 0.2 μmand density 1 g cm-3is beingcarried by an airstream at 1 atm and 298 K in they direction with avelocity of 100 cm s-1. The particle enters a charging device andacquires a charge of two electrons (the charge of a single electronis 1.6 x 10-19C) and moves into an electric filed of constantpotential gradient Ex= 1000 V cm-1perpendicular to the direction offlow. (Hint: The effect of gravity and drag force can be ignored.)(a)Determine the characteristic relaxation time of the particle.(b) Plot the particle trajectory assuming that it starts at theorigin at time zero. (Please show detailed steps and equations usedto plot the trajectory as marks will be given for that.)
