A particle of mass \( m \) and charge \( q \) moves with a constant velocity \( v \) along the p...

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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 \( xb \), is
(A) \( q b B / m \)
(B) \( q(b-a) B / m \)
(C) \( q a B / m \)
(D) \( q(b+a) B / 2 m \)
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