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Understanding Quantum Numbers and Atomic Excitations

Explore quantum numbers and atomic excitations in hydrogen atoms, including energy levels, radial probability density, electron configurations, and photon emissions.

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Understanding Quantum Numbers and Atomic Excitations

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  1. Chapter 41

  2. What are the quantum numbers n and l for a hydrogen atom with E = –(13.60/9) eV and L = 1. n = 1, l = 1 2. n = 1, l = 2 3. n = 2, l = 0 4. n = 3, l = 1 5. n = 3, l = 2

  3. What are the quantum numbers n and l for a hydrogen atom with E = –(13.60/9) eV and L = 1. n = 1, l = 1 2. n = 1, l = 2 3. n = 2, l = 0 4. n = 3, l = 1 5. n = 3, l = 2

  4. How many maxima will there be in a graph of the radial probability density for the 4s state of hydrogen? 1. 2 2. 4 3. 5 4. 8

  5. How many maxima will there be in a graph of the radial probability density for the 4s state of hydrogen? 1. 2 2. 4 3. 5 4. 8

  6. Can the spin angular momentum vector lie in the xy-plane? 1. Yes 2. No

  7. Can the spin angular momentum vector lie in the xy-plane? 1. Yes 2. No

  8. Is the electron configuration 1s22s22p43s a ground-state configuration or an excited-state configuration? 1. Ground-state 2. Excited-state 3. It’s not possible to tell without knowing which element it is

  9. Is the electron configuration 1s22s22p43s a ground-state configuration or an excited-state configuration? 1. Ground-state 2. Excited-state 3. It’s not possible to tell without knowing which element it is

  10. In this hypothetical atom, what is the photon energy Ephoton of the longest-wavelength photons emitted by atoms in the 5p state? 1. 1.0 eV 2. 2.0 eV 3. 3.0 eV 4. 4.0 eV 5. 5.0 eV

  11. In this hypothetical atom, what is the photon energy Ephoton of the longest-wavelength photons emitted by atoms in the 5p state? 1. 1.0 eV 2. 2.0 eV 3. 3.0 eV 4. 4.0 eV 5. 5.0 eV

  12. An equal number of excited A atoms and excited B atoms are created at t = 0. The decay rate for B atoms is twice that of A atoms: rB = 2rA. At t = tA (i.e., after one lifetime of A atoms has elapsed), the ratio NB/NA of the number of excited B atoms to the number of excited A atoms is 1. >2. 2. 2. 3. 1. 4. 1/2. 5. <1/2.

  13. An equal number of excited A atoms and excited B atoms are created at t = 0. The decay rate for B atoms is twice that of A atoms: rB = 2rA. At t = tA (i.e., after one lifetime of A atoms has elapsed), the ratio NB/NA of the number of excited B atoms to the number of excited A atoms is 1. >2. 2. 2. 3. 1. 4. 1/2. 5. <1/2.

  14. Chapter 41 Reading Quiz

  15. How many quantum numbers are required to specify uniquely the state of an electron in an atom? 1. Four 2. Five 3. Six 4. Seven 5. Eight

  16. How many quantum numbers are required to specify uniquely the state of an electron in an atom? 1. Four 2. Five 3. Six 4. Seven 5. Eight

  17. What property of the electron did Stern and Gerlach discover by shooting atoms through a magnet? 1. Magnetic moment 2. Electric dipole 3. Quadrupole moment 4. Lifetime 5. Wavelength

  18. What property of the electron did Stern and Gerlach discover by shooting atoms through a magnet? 1. Magnetic moment 2. Electric dipole 3. Quadrupole moment 4. Lifetime 5. Wavelength

  19. What are the two primary means by which an atom can be excited? 1. Emission, absorption 2. Collisions, stimulation 3. Absorption, emission 4. Collisions, absorption 5. Stimulation, emission

  20. What are the two primary means by which an atom can be excited? 1. Emission, absorption 2. Collisions, stimulation 3. Absorption, emission 4. Collisions, absorption 5. Stimulation, emission

  21. The law of physics stating that no two electrons can be in the same quantum state is 1. the Schrödinger principle. 2. the Pauli exclusion principle. 3. Stern’s law. 4. the Heisenberg uncertainty principle. 5. Fermi’s rule.

  22. The law of physics stating that no two electrons can be in the same quantum state is 1. the Schrödinger principle. 2. the Pauli exclusion principle. 3. Stern’s law. 4. the Heisenberg uncertainty principle. 5. Fermi’s rule.

  23. The shell model of the atom was used to explain experimental measurements of 1. conductivity. 2. density. 3. ionization energy. 4. the work function. 5. absorption spectra.

  24. The shell model of the atom was used to explain experimental measurements of 1. conductivity. 2. density. 3. ionization energy. 4. the work function. 5. absorption spectra.

  25. The number of atoms in an excited state decreases 1. linearly with time. 2. inversely with time. 3. as the inverse square of the time. 4. logarithmically with time. 5. exponentially with time.

  26. The number of atoms in an excited state decreases 1. linearly with time. 2. inversely with time. 3. as the inverse square of the time. 4. logarithmically with time. 5. exponentially with time.

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