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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

Rate of work done by the electric field at `P` is `3/4((mv^(3))/a)`

C

Rate of work done by the electric field at `P` is zero.

D

Rate of work done by both fields at `Q` is zero.

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The correct Answer is:
A, B, D
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