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# 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. The particle will penetrate in this region in the x−direction up to a distance d equal toZeromvqBInfinity2mvqB

A
Zero
B
2mvqB
C
mvqB
D
Infinity
Solution
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#### Lorentz force F=q(→v×→B)=q(v^i×B^k)=−qvB^jThe 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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