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A particle of charge +q and mass m movi...

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

Ratc 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 Pis zero

D

Rate of work done by both the fields at Q is zero

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