Answered: Calculate the minimum uncertainty in…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 60P

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(a) Calculate the minimum uncertainty in momentum (expressed in MeV/?) for a proton confined to a nucleus of diameter 5.0 fm. (1 fm = 1 * 10^-15 m).

(b) A proton (rest mass 938.3 MeV/?²) in a nucleus of radius 6.0 fm has a kinetic energy of 5.6 MeV. If the proton were represented by a de Broglie wave, how many wavelengths could fit across the diameter of that nucleus? (1 fm = 1 * 10^-15 m).

(c) Electrons (rest mass 0.51 MeV/?²) moving with a speed of 1.60 × 10⁵ m/s are described by a wave packet of width 2.65 nm. What range of values will most likely result from a measurement of the speed of the electrons?

Please use:
ℎ? 1240 eVnm
ℏ? 197 eVnm

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