28_InstSolManual_PDF_Part7 - Photons Electrons and Atoms...

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28.26. Set Up: Solve: (a) and As n becomes large, Thus becomes small as n becomes large. (b) so the orbits get farther apart in space as n increases. 28.27. Set Up: In the expression for hydrogen replace by For hydrogen, so for a one-electron ion with atomic number Z , For Solve: (a) This is a factor of 16 times the hydrogen atom value. (b) The ionization energy is This is a factor of 16 times the hydrogen atom value. (c) This is the hydrogen value divided by 16. (d) For the hydrogen atom, For a one-electron ion with atomic number Z , The radius for is times the hydrogen atom value. Reflect: The level energies are proportional to the wavelength for a specific transition is proportional to and the radius of a particular orbit is proportional to 28.28. Set Up: From the figure, and Solve: (a) (b) This agrees with the observed wavelength of 632.8 nm for the laser light. (c) 28.29. Set Up: The energy of each photon is The power is the total energy per second and the total energy is the number of photons N times the energy E of each photon.
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