Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 14, Problem 20P

(a)

To determine

The linear momentum.

(b)

To determine

The de-broglie wavelength.

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Alpha particles of kinetic energy 5.4 MeV are incident at a rate of 3.2 x 107 per second on a copper foil of thickness 3.2 x 10-6 m. A circular detector of diameter 1.0 cm is placed 13 cm from the foil at an angle of 30° with the direction of the incident alpha particles. At what rate does the detector measure scattered alpha particles? (The molar mass of copper is 63.5 g/mol and its density is 8.9 g/cm³.) Additional Materials Book
a) Calculate the uncertainty in momentum for a proton confined to a nucleus of radius 6.0fm b) What is the kinetic energy of a photon with that momentum. c) Suppose a photon in that nucleus had a kinetic energy of 5.6MeV. If the photon were represented by a de Broglie wave, how many wavelengths could fit across the diameter of the nucleus?
Note that a thermal neutron is a neutron whose most probable kinetic energy is ~ 0.025 eV. What is the de Broglie wavelength of a thermal neutron? (Hint: Neutrons in a nuclear reactor are thermalized in order to enhance their probability of fissioning 235U.)
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