Uniform electrlc and magnetic fields with strength E and B are directed along of y-axis. A particle with specific charge `q/m` leves the origin in the direction of x-axis with an initial velocity `v_0`. Find
a. the y-coordinate of the particle when it crosses the y-axis for nth time.
b. the angle `alpha` between the particle's velocity vector and the y-axis for nth time

Answer

[(a) `(2n^(2)mEpi^(2))/(qB^(2))` (b) `tan^(-1)((Bv_(0))/(2pinE))`]