A particle of charge ` +q` and mass `m` moving under the influence of a uniform electric field ` E hat(i)` and uniform magnetic field ` B hat(k)` follows a trajectory from ` P to Q` as shown in fig. The velocities at `P and Q` are ` v hat(i)` and ` - 2v hat(j)` . which of the following statement(s) is/are correct ?
A. `E=3/4((mv^(2))/(qa))`
B. The rate of work done by the electric field at `P` is `3/4((mv^(3))/a)`
C. The rate of work done by the electric field at `P` is 0.
D. The rate of work done by both the fields at `Q` is 0
