Please help Asap with grade 12 student knowledge and show step-by-step. Thank you.
6. Q#6. A detection screen is set up 'downstream' from an incoming 1.652 km/s East-travelling beam of electrons. These electrons pass through two consecutive regions where either one or the other region has a uniform magnetic field 'switched on' with the other one 'switched off. Magnetic field vectors in a 'switched on region are all oriented from a large magnetic-north-pole (MNP) electromagnet face toward a large same-shape-and-size magnetic-south-pole (MSP) electromagnet face. The gaps between magnetic poles are assumed wide enough that the beam passes through without hitting either magnet face in either region. The first region's magnetic field vectors (MFV's) are top-down (MNP face is above and MSP face is directly below the gap where the electron beam is travelling (electron 'flight path' region). The second region's set of MFV's are front-to-back (MNP face is directly in front of the MSP face with a 'flight path' gap in between the two magnetic pole faces). The two regions have MFV's that are perpendicular to each other (but never both 'on' at the same time), and they are also each perpendicular to the initial incoming electron beam flight path (i.e. before its path starts to curve from entering a region with a magnetic field). Each magnetic field region has an x-axis length of 25.00 cm. The detection screen is 50.00 cm downstream from the end of the second electromagnet region. This screen is perpendicular to the x-axis which passes through the center of the screen (can be thought of as having yz-coordinates: 'y' in the front[S]-to-back[N] orientation, and, 'z' being bottom[D]-to-top[U]). The x-axis points in a West[W]-to-East[E] direction. Electrons are being 'steered' by magnetic force, in either the Ist or the 2nd electromagnet 'flight path' gap region (only ONE region has its electromagnet 'switched on' at any given point in time). Electrons hit different points on the detection screen as their flight path gets deflected away from the x-axis. The external magnetic fields being provided are 10.00 nT (1.000 x 10 T) in either region (only when the electromagnets are 'switched on' -- there is no external magnetic field when a region's electromagnets are 'switched off'). Where do the electrons end up on the detection screen, when we have either: 6.(a) first region is switched ON, but the second region is switched OFF ? or: 6.(b) first region is switched OFF, but now it's the second region is switched ON ? electrons are steered to 2 different points on the detection screen there are 2 different settings: either the Ist or the 2nd electromagnet is Z the detection screen 'switched on' (while the other one is kept 'switched off) n incoming electron N y