Fundamentals of Physics Extended
Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 39, Problem 11Q
To determine

To rank:

The quantum states according to de Broglie wavelengths of electron, the greatest first.

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*24 Figure 39-30 shows a two-dimen- sional, infinite-potential well lying in an xy plane that contains an electron. We probe for the electron along a line that bisects L, and find three points at which the detection probability is maximum. Figure 39-30 Problem 24. Those points are separated by 2.00 nm. Then we probe along a line that bisects L, and find five points at which the detection probability is maximum. Those points are sep- arated by 3.00 nm. What is the energy of the electron?
Compute the intrinsic line-width (Δλ) of the Lyman α line (corresponding to the n=2 to n=1) transition for the Hydrogen atom. You may assume that the electron remains in the excited state for a time of the order of 10^−8s. The line-width may be computed using:ΔE=(hc/λ^2)Δλ
16 For three experiments, Fig. 38-25 gives the transmission coefficient T for electron tunneling through a po- tential barrier, plotted versus barrier thickness L. The de Broglie wave- lengths of the electrons are identical in the three experiments. The only difference in the physical setups is the barrier heights U. Rank the three experiments according to U, greatest first. T: Figure 38-25 Question 16.

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Fundamentals of Physics Extended

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