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Chapter 40: Q26E (page 1219)
In Problems 13-32 use variation of parameters to solve the given nonhomogeneous system.
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For the situation of Problem 21, what multiple of gives the energy of (a) the first excited state, (b) the second excited state, and (c) the third excited state of the system of seven electrons? (d) Construct an energy-level diagram for the lowest four energy levels of the system.
Suppose that a hydrogen atom in its ground state moves 80 cm through and perpendicular to a vertical magnetic field that has a magnetic field gradient . (a) What is the magnitude of force exerted by the field gradient on the atom due to the magnetic moment of the atom鈥檚 electron, which we take to be Bohr magnetron? (b) What is the vertical displacement of the atom in the 80cm of travel if its speed is ?
Two of the three electrons in a lithium atom have quantum numbers of and . What quantum numbers are possible for the third electron if the atom is (a) in the ground state and (b) in the first excited state?
Calculate the (a) smaller and (b) larger value of the semi-classical angle between the electron spin angular momentum vector and the magnetic field in a Stern鈥揋erlach experiment. Bear in mind that the orbital angular momentum of the valence electron in the silver atom is zero.
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