Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 14.1, Problem 2cT
To determine
The two independent method to find de-Broglie wavelength of electron.
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The figure (Figure 1)is a graph of |(x)² for an electron.
Part A
What is the value of a?
Express your answer with the appropriate units.
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Part B
What is the probability that the electron is located between z = 1.0 nm and a = 2.0 nm?
Figure
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P = 0.125
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+x (nm)
2
-2
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1
Part b
Consider the electron of a Li2+ ion that undergoes a transition from a higher energy state n to its adjacent lower energy state n – 1 (e.g. n = 2→1, 3→2, 4→3, etc) and emits a photon. Suppose the emitted photon is used to strike the surface of potassium, which has a threshold frequency of 5.464 × 1014 s–1 .
a) What is the maximum initial quantum number, n, that is required in order to emit a photon with high enough energy to generate a photocurrent from the metal surface?
b) Using the n value solved in part (a), calculate the maximum speed of the photoelectron from potassium. If you couldn’t solve for n in part (a), use n = 3.
When 7.0x1012 photons pass through an
experimental apparatus, 8.0×10⁹ land in a 0.20
mm -wide strip.
Part A
What is the probability density at this point?
Express your answer with the appropriate
units.
Chapter 14 Solutions
Tutorials in Introductory Physics
Ch. 14.1 - In the magnified view of the slits, an arrow is...Ch. 14.1 - For what values of the path length difference...Ch. 14.1 - Suppose that a single change were made to the...Ch. 14.1 - Prob. 2aTCh. 14.1 - Prob. 2bTCh. 14.1 - Prob. 2cTCh. 14.1 - Use trigonometry to show that the path length...Ch. 14.1 - Prob. 3bTCh. 14.2 - How does the voltmeter reading compare to the...Ch. 14.2 - Prob. 1bT
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