Exam 32: Electromagnetic Waves Optics

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Hydrogen atom: Doubly-ionized lithium is a hydrogen-like ion, in which the nucleus with charge 3e is orbited by a single electron. What wavelength light would be emitted from Li++ as the electron dropped from the n = 4 to the n = 3 orbit?

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Multielectron atoms: What element has a Kα line with wavelength 1.46 × 10-11 m?

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Hydrogen atom: How fast must a hydrogen atom be traveling for its kinetic energy to be just enough to excite the ground-state atom to its first excited state in a collision? (1 eV = 1.60 × 10-19 J, mh ≈ mproton = 1.67 × 10-27 kg)

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Quantum numbers: An electron in a hydrogen atom has principal quantum number n = 4. How many possible values of the orbital quantum number l could it have?

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Quantum numbers: An electron in a hydrogen atom has orbital quantum number l = 7. How many possible values of the magnetic quantum number ml could it have?

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Hydrogen atom: A muonic hydrogen atom is a proton orbited by a muon (a particle with the same charge as an electron and 207 times its mass) in which the mass of the muon is significant relative to the mass of the proton. What would be the radius of the smallest muon orbit in a muonic hydrogen atom?

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Quantum numbers: An electron in a hydrogen atom has orbital quantum number l = 4. How many possible values of the magnetic quantum number ml could it have?

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Quantum numbers: If the principal quantum number of an electron is n = 5, which one of the following is NOT an allowed magnetic quantum number ml for the electron?

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Hydrogen atom: What is the radius of the smallest electron orbit in a singly-ionized helium atom?

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Multielectron atoms: How many electrons does it take to fill the d subshell?

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Angular momentum: The magnitude of the orbital angular momentum L of an electron in a certain atom is equal to 3.464ħ. Which one of the following numbers could be the principal quantum number n of the electron?

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Zeeman effect: An s state (l = 0) energy level is split into two levels by an applied magnetic field. A photon of microwave radiation having frequency 60 GHz induces a transition between the two levels. What is the magnitude of the applied magnetic field? (h = 6.626 × 10-34 J ∙ s, Bohr magneton = μB = 9.27 × 10-24 J/T)

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Angular momentum: What is the greatest total angular momentum J for an electron in the n = 2 shell?

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