Problem 6.155

A narrow stream of vanadium atoms in the ground state \({ }^{4} F_{3 / 2}\) is passed through a transverse strongly inhomogeneous magnetic field of length \(l_{1}=5.0 \mathrm{~cm}\) as in the Stern-Gerlach experiment. The beam splitting is observed on a screen located at a distance \(l_{2}=15 \mathrm{~cm}\) from the magnet. The kinetic energy of the atoms is \(T=22 \mathrm{MeV}\). At what value of the gradient of the magnetic field induction \(B\) is the distance between the extreme components of the split beam on the screen equal to \(\delta=2.0 \mathrm{~mm} ?\)