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PhysicsMediumMCQ2014 · 12 Apr Online

Q20.A positive charge ' q ' of mass ' m ' is moving along the +x axis. We wish to apply a uniform magnetic field B for time Δt so that the charge reverses its direction crossing the y axis at a distance d. Then: (1) B = mvqd and Δt = πdv (2) B = 2qdmv and Δt = πd2v (3) B = 2mvqd and Δt = πd2v (4) B = 2mvqd and Δt = πdv

What This Question Tests

This question requires analyzing the circular motion of a charged particle in a uniform magnetic field to determine the magnetic field strength and the time needed to reverse its direction, involving radius and time period calculations.

Concepts Tested

Lorentz forceCircular motionRadius of trajectoryTime period

Formulas Used

F = qvB

mv²/r = qvB

r = mv / (qB)

T = 2πm / (qB)

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