$ \Rightarrow $ $\frac{i}{{100 \times {{10}^{ - 3}}}} = 1 + \frac{{1000}}{S}$
$ \Rightarrow $ $S = \frac{{1000}}{9} = 111\,\Omega $



Figure: $Image$
$(A)$ The particle enters Region $III$ only if its velocity $V>\frac{q / B}{m}$
$(B)$ The particle enters Region $III$ only if its velocity $\mathrm{V}<\frac{\mathrm{q} / \mathrm{B}}{\mathrm{m}}$
$(C)$ Path length of the particle in Region $II$ is maximum when velocity $V=\frac{q / B}{m}$
$(D)$ Time spent in Region $II$ is same for any velocity $V$ as long as the particle returns to Region $I$
