A particle of mass m and charge q moves ...

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

`qb B//m`

`q(b-a)B//m`

`qa B//m`

`a(b+a)B//2m`

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