Charged Particle Decay in Magnetic Field · Physics Brawl 2025 #9
Physics · electromagnetism
Problem
A particle characterized by a charge Q=−15.0 μC and a mass M=50.0 μg is flying perpendicular to magnetic field lines at a speed of v=100 m·s⁻¹. At one moment, this particle decays into two particles with opposite charges. What is the ratio of the radius of curvature of the positively charged particle's trajectory to that of the negatively charged particle? The mass of the resulting positively charged particle is m=20.0 μg, and its charge is q=10.0 μC. Assume that after the decay, both particles retain the velocity v, and they do not interact with each other further.