(a) A particle of charge q moves in a circular path of radius r in a uniform magnetic field B. If the magnitude of the magnetic field is double, and the kinetic energy of the particle is the same, how does the angular momentum of the particle differ? (b) Show that the magnetic dipole moment M (Section 20-9) of an electron orbiting the proton nucleus of a hydrogen atom is related to the orbital angular momentum L of the electron by e e L. 2m M
(a) A particle of charge q moves in a circular path of radius r in a uniform magnetic field B. If the magnitude of the magnetic field is double, and the kinetic energy of the particle is the same, how does the angular momentum of the particle differ? (b) Show that the magnetic dipole moment M (Section 20-9) of an electron orbiting the proton nucleus of a hydrogen atom is related to the orbital angular momentum L of the electron by e e L. 2m M
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Transcribed Image Text:(a) A particle of charge q moves in a circular path of
radius r in a uniform magnetic field B. If the magnitude of
the magnetic field is double, and the kinetic energy of the
particle is the same, how does the angular momentum of
the particle differ? (b) Show that the magnetic dipole
moment M (Section 20-9) of an electron orbiting the
proton nucleus of a hydrogen atom is related to the orbital
angular momentum L of the electron by
e
e L.
2m
M
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