Magnetic field due to currentHard

Question

A particle of charge +q and mass m moving under the influence of uniform electric field and uniform magnetic field follows a trajectory from P to Q as shown in figure. The velocities at P and Q are and respectively. Choose the CORRECT statement(s).
           

Options

A.E =
B.Rate of work done by electric field at P =
C.Rate of work done by electric field at P is zero
D.Rate of work done by both fields at Q is zero

Solution

W = ᐃK.E.
qE(2a) = m [(2v)2 - v2]
E =
Rate of workdone at P = = qE vcos0o =
Rate of workdone at Q = = qE 2vcos 90o = 0

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