Consider a simple hydrogen atom where an electron orbits around a proton. Suppose a small magnetic field is applied perpendicularly to the plane of orbit. Show that if the orbit radius does not change, then the angular velocity of the electron would change by eB 2m Δω = ΕΞ

An electron is accelerated from rest through a potential difference V after which it enters a region having a magnetic field of magnitude B and direction perpendicular to the electron's velocity. The radius of the electron orbit in this magnetic field is given by: meV 2BN e 2m, V Be 2m. VB O 1 2m.V B e O 1 meV BV 2e O there is not enough information to determine 2m.V BV O none of these

An electron of kinetic energy 1.74 keV circles in a plane perpendicular to a uniform magnetic field. The orbit radius is 31.2 cm. Find (a) the electron's speed, (b) the magnetic field magnitude, (c) the circling frequency, and (d) the period of the motion. (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units

If an electron in an atom has an orbital angular momentum with m₁ = 4, what are the components (a) Lorb,z and (b) µorb,z? If the atom is in an external magnetic field that has magnitude 33 mT and is directed along the z axis, what are (c) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? If, instead, the electron has m₁ = -2, what are (e) Lorb,z, (f) Horb,z, (g) the potential energy orb associated with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? (a) Number Units (b) Number Units (c) Number i Units (d) Number Units (e) Number i Units (f) Number امل Number Hi Units Units > >

An electron that has velocity т i = (2.0 x 106)i+ (3.0 × 106 10", %3D moves through the uniform magnetic field B = (0.030 T)î – (0.15T)f. (a) Find the force on the electron due to the magnetic field. (b) Repeat your calculation for a proton having the same velocity.

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