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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

Rate of work done by electric field at `P` is `(3)/(2)(mv^(3))/(a)`

C

Rate of work done by electric field at `P` is not zero

D

Rate of work done by both field at `Q` is not zero

Text Solution

Verified by Experts

Use work energy theorem, magnetic force being perpendicular to velocity can not do any work.
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