Exam 32: Electromagnetic Waves Optics

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Hydrogen atom: What is the minimum speed needed by a ground-state hydrogen atom for its kinetic energy to be enough to ionize the atom in a collision? (1 eV = 1.60 × 10-19 J, mh ≈ mproton = 1.67 × 10-27 kg)

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Hydrogen atom: What is the energy of an incident photon that is just enough to excite a hydrogen atom from its ground state to its n = 4 state?

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Quantum numbers: For each value of the principal quantum number n, what are the possible values of the electron spin quantum number ms? (There may be more than one correct choice.)

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Multielectron atoms: An electron initially in a 4p state decays to a lower energy state. Which energy state is forbidden?

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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 of the following angles could NOT be the angle between the orbital angular momentum vector of the electron and an arbitrary z-direction?

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Quantum numbers: In the ground state, the quantum numbers (n, l, ml, ms) for hydrogen are, respectively

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Zeeman effect: An alkali metal atom is in the ground state. The orbital angular momentum equals zero and the spin angular momentum is entirely due to the single valence electron. A magnetic field is applied that splits the ground state energy level into two levels, 27 μeV apart. What is the strength of the applied magnetic field? (h = 6.626 × 10-34 J ∙ s, Bohr magneton = μB = 9.27 × 10-24 J/T, 1 eV = 1.60 × 10-19 J)

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

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Multielectron atoms: The correct ground state electron configuration of boron, which has 5 electrons, is

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Multielectron atoms: An atom has completely filled inner shells and a single valence electron in an excited p state. The filled inner shells have an orbital momentum equal to zero. What is the magnitude of the orbital angular momentum L of the atom?

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Multielectron atoms: What is the wavelength of the Kα line for Mercury?

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Multielectron atoms: The only INVALID electron state and shell designation among the following is

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Zeeman effect: The energy of an electron in the p-level of an atom is changed in the presence of a magnetic field of magnitude 4.6 T. What is the difference between the largest and smallest possible energies? (Bohr magneton = μB = 9.27 × 10-24 J/T)

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Quantum numbers: If an electron has spin quantum number ms = - Quantum numbers: If an electron has spin quantum number m<sub>s</sub> = -   , what is the possible value for the orbital quantum number l of the electron? , what is the possible value for the orbital quantum number l of the electron?

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Lasers: A collection of atoms has 20% of the sample in a state Lasers: A collection of atoms has 20% of the sample in a state   above the ground state. If these emit coherent radiation, what is the wavelength of the laser light produced? (c = 3.00 × 10<sup>8</sup> m/s, h = 6.626 × 10<sup>-34</sup> J ∙ s, 1 eV = 1.60 × 10<sup>-19</sup> J) above the ground state. If these emit coherent radiation, what is the wavelength of the laser light produced? (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J)

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Lasers: Which of the following are characteristics of laser light? (There may be more than one correct choice.)

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Hydrogen atom: The binding energy of the hydrogen atom in its ground state is -13.6 eV. What is the energy when it is in the n = 5 state?

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Multielectron atoms: Which of the following electron transitions is forbidden?

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Multielectron atoms: What is the correct electronic configuration for the ground state sodium atom, which has 11 electrons?

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Multielectron atoms: The only VALID electron state and shell designation among the following is

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