28_InstSolManual_PDF_Part1

28_InstSolManual_PDF_Part1 - PHOTONS, ELECTRONS, AND ATOMS...

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Unformatted text preview: PHOTONS, ELECTRONS, AND ATOMS 28 11. D 12. C 13. B 14. C 15. C 16. D Answers to Multiple-Choice Problems 1. A, C 2. B 3. B 4. A 5. C 6. C 7. D 8. D 9. A 10. B Solutions to Problems 28.1. Set Up: c 5 fl relates frequency and wavelength and E 5 hf relates energy and frequency for a photon. c 5 3.00 3 108 m / s. 1 eV 5 1.60 3 10216 J. 3.00 3 108 m / s c Solve: (a) f 5 5 5 5.94 3 1014 Hz l 505 3 1029 m (b) E 5 hf 5 1 6.626 3 10234 J # s 2 1 5.94 3 1014 Hz 2 5 3.94 3 10219 J 5 2.46 eV 2 1 3.94 3 10219 J 2 2K (c) K 5 1 mv2 so v 5 5 5 9.1 mm / s 2 Å 9.5 3 10215 kg Åm 28.2. Set Up: For a photon, E 5 hf and c 5 fl. h 5 4.136 3 10215 eV # s. E 2.45 3 106 eV 5 5.92 3 1020 Hz 5 h 4.136 3 10215 eV # s 3.00 3 108 m / s c (b) l 5 5 5 5.07 3 10213 m f 5.92 3 1020 Hz (c) This wavelength is comparable to a typical nuclear diameter. Solve: (a) f 5 28.3. Set Up: Pav 5 energy hc . 1 eV 5 1.60 3 10219 J. For a photon, E 5 hf 5 . h 5 6.63 3 10234 J # s. t l Solve: (a) energy 5 Pavt 5 1 0.600 W 2 1 20.0 3 1023 s 2 5 1.20 3 1022 J 5 7.5 3 1016 eV 1 6.63 3 10234 J # s 2 1 3.00 3 108 m / s 2 hc 5 (b) E 5 5 3.05 3 10219 J 5 1.91 eV l 652 3 1029 m (c) The number of photons is the total energy in a pulse divided by the energy of one photon: 1.20 3 1022 J 5 3.93 3 1016 photons. 3.05 3 10219 J / photon Reflect: The number of photons in each pulse is very large. Solve: (a) E 5 hf 5 1 6.63 3 10234 J # s 2 1 92.0 3 106 Hz 2 5 6.10 3 10226 J 5 3.81 3 1027 eV 50.0 3 103 J 5 8.20 3 1029 photons. (b) The number of photons emitted per second is 6.10 3 10226 J / photon 28.4. Set Up: In 1.00 s the energy output is 50.0 kJ. The energy of a photon is E 5 hf. h 5 6.63 3 10234 J # s. 28-1 ...
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