Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 40, Problem 14P
(a)
To determine
Energy level diagram for one-dimensional box.
(b)
To determine
The wavelength of emitted photons during transitions in these four levels.
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While studying the particle in a box in this chapter, you come up with what you think is a brilliant idea. Suppose the electron in the hydrogen atom is modeled like a particle in a one-dimensional box! You look online and learn that the transition from the first excited state of hydrogen to the ground state emits a photon of wavelength 121.6 nm.
(a) From this information, you determine the size of the box in which the electron is trapped.
(b) After being quite excited about your answer to part (a), because it is on the order of the size of an atom, you predict the wavelength of the transition from the second excited state of the particle in the box in part (a) to the ground state, and compare it to the corresponding wavelength in the hydrogen atom spectrum, 102.6 nm.
When a hydrogen atom undergoes a transition from n=3 to n=2 level, a photon with λ=656.5 nm is emitted. (a) If we imagine the atom as an electron in a one-dimensional box, what is the width of the box so that the transition from n=3 to n=2 corresponds to the emission of a photon of this wavelength? (b) For a box with the width calculated in (a), what is the ground energy state? (c) Do you think a one-dimensional box is a good model for a hydrogen atom? Because?
A sodium atom in one of the states labeled “Lowest excited levels” in Fig. remains in that state, on average, for 1.6 * 10-8 s before it makes a transition to the ground state, emitting a photon with wavelength 589.0 nm and energy 2.105 eV. What is the uncertainty in energy of that excited state? What is the wavelength spread of the corresponding spectral line?
Chapter 40 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 40.1 - Prob. 40.1QQCh. 40.2 - Prob. 40.2QQCh. 40.2 - Prob. 40.3QQCh. 40.5 - Prob. 40.4QQCh. 40 - Prob. 1PCh. 40 - Prob. 2PCh. 40 - Prob. 3PCh. 40 - Prob. 4PCh. 40 - Prob. 5PCh. 40 - Prob. 6P
Ch. 40 - Prob. 7PCh. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - Prob. 13PCh. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Prob. 16PCh. 40 - Prob. 17PCh. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 23PCh. 40 - Prob. 24PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 29PCh. 40 - Two particles with masses m1 and m2 are joined by...Ch. 40 - Prob. 31APCh. 40 - Prob. 32APCh. 40 - Prob. 33APCh. 40 - Prob. 34APCh. 40 - Prob. 36APCh. 40 - Prob. 37APCh. 40 - Prob. 38APCh. 40 - Prob. 39APCh. 40 - Prob. 40APCh. 40 - Prob. 41APCh. 40 - Prob. 42APCh. 40 - Prob. 44CPCh. 40 - Prob. 46CPCh. 40 - Prob. 47CP
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