An electron is emitted from a middle-mass nuclide (A = 150, say) with a kinetic energy of 1.0 MeV. (a) What is its de Broglie wavelength? (b) Calculate the radius of the emitting nucleus. (c) Can such an electron be confined as a standing wave in a “box” of such dimensions? (d) Can you use these numbers to disprove the (abandoned) argument that electrons actually exist in nuclei?

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter5: Matter Waves
Section: Chapter Questions
Problem 25P
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An electron is emitted from a middle-mass nuclide (A = 150,
say) with a kinetic energy of 1.0 MeV. (a) What is its de Broglie
wavelength? (b) Calculate the radius of the emitting nucleus. (c)
Can such an electron be confined as a standing wave in a “box” of
such dimensions? (d) Can you use these numbers to disprove the
(abandoned) argument that electrons actually exist in nuclei?

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