Question

In separate experiments, a large number of particles (all with the same charge but with a wide variety of masses, speeds, and spin angular momentum) are fired into a region containing a uniform magnetic field. The velocities of the particles are all perpendicular to the field. What do the particles that move in orbits of the same radius have in common

Answer 1

The particles that move in orbits of the same radius have the same momentum.

Orbital angular momentum:

A point particle's three-dimensional angular momentum is traditionally represented by the pseudovector r p, which is the cross product of the particle's position vector r (relative to some origin) and momentum vector, which in Newtonian physics is denoted by p = mv.

L = mr$V_{prep}$ = mr²w is the particle's orbital angular momentum in units of magnitude. The part of the particle's velocity that is here perpendicular to the axis of rotation is designated as $V_{perp.}$ The right-hand rule indicates the direction of the angular momentum. In isolated systems, the angular momentum is conserved.

Learn more about momentum here:

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