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A particle of mass $m$ and charge $q$ , moving with velocity v enters region II normal to the boundary as shown in the figure. Region II has a uniform magnetic field $B$ perpendicular to the plane of the paper. The length of the region II is $A .$ Choose the correct choice(s)

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the particle enters region III only if its velocity $v > \frac{q l B}{m}$

the particle enters the region III only if its velocity $v < \frac{q l B}{m}$

path length of the particle in region II is maximum when velocity $v < \frac{q l B}{m}$

time spent in region II is same for any velocity v as long as the particle returns to region I.

answer is A, C.

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Detailed Solution

If r is the radius of path, the

$r = l = \frac{m v}{q B}$

$v = \frac{q l B}{m}$

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