There are several technological applications for the transuranium elements (z > 92). an important one is in smoke detectors, which can use the decay of a tiny amount of americium-241 to neptunium-237. what subatomic particle is emitted from that decay process

During the experiment if you could triple the breakaway magnetic force with all other quantities left unchanged, what is the new value for the critical velocity if it was v0 (initial velocity), initially? (b) now if you halved the radius with all other quantities left unchanged, what is the new critical velocity if it was v0 (initial velocity), initially? (c) if during the experiment, critical velocity quadrupled with all other quantities left unchanged, what is the new breakaway force if its magnitude was initially f0,?