A particle of mass m and charge q moves with | vedclass

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Question

(b) In the figure, the $z$-axis points out of the paper, and the magnetic field is directed into the paper, existing in the region between $PQ$ and $R

Vedclass · Accepted Answer

$q(b - a)B/m$

Vedclass · Answer

(b) In the figure, the $z$-axis points out of the paper, and the magnetic field is directed into the paper, existing in the region between $PQ$ and $RS$. The particle moves in a circular path of radius $r$ in the magnetic field. It can just enter the region $x > b$ for $r \ge (b - a)$
Now, $r = \frac{{mv}}{{qB}} \ge (b - a)$
or $v \ge \frac{{q(b - a)B}}{m}$ $==>$ ${
u _{\min }} = \frac{{q(b - a)B}}{m}$

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