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 l. Choose the correct choice(s).

A

The particle enters Region III only if its velocity $$V > \frac{q l B}{m}$$

B

The particle enters Region III only if its velocity $$V < \frac{q l B}{m}$$

C

Path length of the particle in Region IJ is maximum when velocity $$V = \frac{q l B}{m}$$

D

Time spent in Region II is same for any velocity V as long as the particle returns to Region I