Physics for Scientists and Engineers with Modern Physics
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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Chapter 40, Problem 37AP

(a)

To determine

The length of the box.

(b)

To determine

The wavelength λ'.

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An electron confined to a box absorbs a photon with wavelength λ. As a result, the electron makes a transition from the n = 1 state to the n = 3 state. (a) Find the length of the box. (b) What is the wavelength λ' of the photon emitted when the electron makes a transition from the n = 3 state to the n = 2 state?
When an electron in a one-dimensional box makes a transition from the n = 1 energy level to the n = 2 level, it absorbs a photon of wavelength 426 nm. What is the wavelength of that photon when the electron undergoes a transition (a) from the n = 2 to the n = 3 energy level and (b) from the n = 1 to the n = 3 energy level? (c) What is the width L of the box?
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?
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