A charged particle of mass 'm' and charge 'q'
moving under the influence of uniform electric
field $E\overrightarrow i
and a uniform magnetic field B\overrightarrow k
follows a trajectory from point P to Q as shown
in figure. The velocities at P and Q are
respectively, v\overrightarrow i and - 2v\overrightarrow j
. Then which of the
following statements (A, B, C, D) are the
correct ? (Trajectory shown is schematic and
not to scale) :
(A) E = {3 \over 4}\left( {{{m{v^2}} \over {qa}}} \right)
(B) Rate of work done by the electric field at P is {3 \over 4}\left( {{{m{v^3}} \over a}} \right)$
(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 2mav.