A particle of charge q and mass m moving with a velocity v along x−axis enters the region x>0 with uniform magnetic field B along the k direction. What is the penetration of the particle in this region in the x−direction up to a distance d?
Answer & explanation
Correct answer: option 4
The particle move in a circle, the plane of the circle is perpendicular to the direction of magnetic field.
Centripetal force is provided by the Lorentz force.
so, qvB = mv2/r
and r= mv/qB
Penetration is the diameter, i.e. 2r.