Chapter 39: Wave Functions and Uncertainty

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Pages: 1118 - 1140

Book edition 4th

Author(s) Randall D. Knight

Pages 1240 pages

ISBN 9780133942651

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72 Questions for Chapter 39: Wave Functions and Uncertainty

Physicists use laser beams to create an atom trap in which atoms are confined within a spherical region of space with a diameter of about 1mm. The scientists have been able to cool the atoms in an atom trap to a temperature of approximately 1nK, which is extremely close to absolute zero, but it would be interesting to know if this temperature is close to any limit set by quantum physics. We can explore this issue with a onedimensional model of a sodium atom in a 1.0-mm-long box.

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FIGURE Q 39.1 shows the probability density for photons to be detected on the x-axis.

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FIGURE Q39.1 shows the probability density for photons to be detected on thex

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What are the units ofψ(x) ? Explain.

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In an interference experiment with electrons, you find the most intense fringe is at x = 7.0 cm. There are slightly weaker fringes at x= 6.0 and 8.0 cm, still weaker fringes at x = 4.0 and 10.0 cm, and two very weak fringes at x= 1.0 and 13.0 cm. No electrons are detected at x <0 cm or x> 14 cm.

Found on Page 1136
The probability density for an electron that has passed through an experimental apparatus. If 1.0×106electrons are used, what is the expected number that will land in alocalid="1649312933417" 0.010mmwide strip atlocalid="1649312941736" (a)x=0.000mmand localid="1649312949893" (b)2.000m

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shows the probability density for an electron that has passed through an experimental apparatus. What is the probability that the electron will land in a 0.010-mm-widestripatax=0.000mm,bx=0.500mm,cx=1.000mm,anddx=2.000mm?xmm-3-2-101230.50px=0cx02mm-1

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3 shows the probability density for an electron that has passed through an experimental apparatus. What is the probability that the electron will land in a 0.010-mm-wide strip at (a) x = 0.000 mm, (b) x = 0.500 mm, (c) x = 1.000 mm, and (d) x = 2

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FIGURE EX39.13 shows the probability density for an electron that has passed through an experimental apparatus. What is the probability that the electron will land in a 0.010−mm-wide strip at (a) x=0.000mm, (b)x=0.500mm, (c) x=1.000mm, and (d) x=2.000mm

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Chapter 39: Wave Functions and Uncertainty

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Answers without the blur.

72 Questions for Chapter 39: Wave Functions and Uncertainty

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