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

Text Solution
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(a, b, d)
Kinetic energy of the particle at point 

K.E. of the particle at point 
Increase in K.E. 
It comes from the work done by the electric force qE on the particle as it covers a distance 2a along the x-axis. Thus
. The rate of work done by the electric field at P 
At
is along x-axis while velocity is along negative y-axis. Hence rate of work done by electric field
Similarly, according to equation 
Force
is also perpendicular to velocity vector
.
Hence the rate of work done by the magnetic field = 0
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