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 $\delta=2.0 \mathrm{~mm} ?$