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Chapter 31: Atomic Physics Selected Solutions |
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Selected Solutions
7. For the Lyman series we have:
The last form of the equation makes clear that the longest wavelength corresponds to the smallest n. Since, R = 1.097 x 107m-1, we have
19. (a) The photon's energy must equal the energy difference between the two states. Since the energy of a photon is given by
, we can use the expression for the wavelengths to get
.
(b) The energy of the photon would be less than that found in part (a), because the absolute values of the lower n energy state differences are greater than those of the higher n energy state differences, and in both cases Dn = 2.
(c)
59. (a) Using the expression for the radius of the orbit, we get
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