Home Physics Moving Charge and Magnetism Mix A particle of charge +q and mass m moving un…
Physics Moving Charge and Magnetism Mix MCQ (Single Correct)

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

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

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The correct answer is:
CHECK THE SOLUTION.

(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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