Question

There exists a uniform magnetic and electric field of magnitude 1 t and 1 v/m respectively along positive y-axis. A charged particle of mass 1kg and charge 1c is having velocity 1 m/s along x-axis and is at origin at t=0. Then the coordinates of particle at time pi seconds will be

Answer 1

Answer:

The particle will move in a non-uniform helical path with increasing pitch as shown below.

Its time period will be : T=2πmqB=2π seconds

Changing the view, the particle is seemed to move in a circular path in (X−Z) plane as shown below

After π-seconds the particle will be at point 'P' (after completing half circule), hence X coordinate of P will be 0.

y(π)=0(π)+12Eqm(π)2=π22

z=2r=2mv/qB=2m

Hence the coordinate (0,π22,2)