Charged Particle Fields Trajectory

A charged particle of mass 'm' and charge 'q' moving under the influence of uniform electric field E

→

i

and a uniform magnetic field B

→

k

follows a trajectory from point P to Q as shown in figure. The velocities at P and Q are respectively, v

→

i

and −2v

→

j

. Then which of the following statements (A, B, C, D) are the correct ? (Trajectory shown is schematic and not to scale) : (A) E=

3

4

(

mv2

qa

)
(B) Rate of work done by the electric field at P is

3

4

(

mv2

a

)
(C) Rate of work done by both the fields at Q is zero
(D) The difference between the magnitude of angular momentum of the particle at P and Q is 2 mav.