Q.

A particle of mass m and charge q moves with a velocity v along the positive x direction. It enters a region containing a uniform magnetic field B directed along the negative z direction, extending form x=a  to  x=b. The minimum value of  v required so that the particle can just enter the region  x>b is 

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a

q(ba)Bm

b

qbBm

c

q(b+a)B2m

d

qaBm

answer is B.

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Detailed Solution

Width of the magnetic field region  (ba)R; Where ‘R’ is its radius of curvature inside magnetic field

 R=mvqB=(ba)vmin=(ba)qBm

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