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Question

A particle of charge q and mass m moving with a velocity v along xaxis enters the region x>0 with uniform magnetic field B along the ^k direction. The particle will penetrate in this region in the xdirection up to a distance d equal to
  1. Zero
  2. mvqB
  3. Infinity
  4. 2mvqB

A
Zero
B
mvqB
C
2mvqB
D
Infinity
Solution
Verified by Toppr

Lorentz force F=q(v×B)=q(v^i×B^k)=qvB^j
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.
qvB=mv2r
r=mvqB

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