Exiting from a magnetic field

The above shows the path (green arrows) of a charged particle in an \(xy\)-plane, where a uniform magnetic field exists penetrating through the \(xy\)-plane for the left half. In the beginning when the charged particle is inside the magnetic field, the path is horizontal in the \(+x\) direction. After getting out the magnetic field, at the height of \(H\), the path becomes a projectile motion, ending on the ground at last. If the magnetic field intensity is \(B\), the mass of the charged particle is \(m,\) and the quantity of the electric charge of the particle is \(q,\) then what is the distance \(L\) above? (Gravitational acceleration is \(g\), and the amount of air resistance is negligible.)

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