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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 photon is emitted when an electron in a three- dimensional cubical box of side length 8.00 * 10-11 m makes a transition from the nX = 2, nY = 2, nZ = 1 state to the nX = 1, nY = 1, nZ = 1 state. What is the wavelength of this photon?
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