Question

A particle of diameter 0.2 μmand density 1 g cm-3is being carried by an airstream at 1 atm and 298 K in they direction with a velocity of 100 cm s-1. The particle enters a charging device and acquires a charge of two electrons (the charge of a single electron is 1.6 x 10-19C) and moves into an electric filed of constant potential gradient Ex= 1000 V cm-1perpendicular to the direction of flow. (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 the origin at time zero. (Please show detailed steps and equations used to plot the trajectory as marks will be given for that.)

Answer 1