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 11P
To determine

The cross-section in barns when the slow neutrons with hydrogen atoms.

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An aluminum foil of thickness 0.30 mm is bombarded by energetic neutrons. The aluminum nuclei undergo neutron capture according to the process 2Al(n,y)28 Al, with a measured capture cross section of 2.0×1031 m². Assuming the flux of incident neutrons to be 5.0×10¹2 neutrons/ cm²-s, calculate the number of neutrons captured per second by 1.0 cm² of the foil. The density of aluminum is 2.7 g/cm³.
To determine the wear of an automobile engine, a steel compression ring is placed in a nuclear reactor, where it becomes neutron activated because of the formation of 59Fe(t1/2 = 44.5 days, β-). The activity of the ring when placed in the engine is 4.0 x 105 Bq. Over the next 60 days, the car is driven 100,000 km on a test track. The engine oil is extracted, and the activity rate of the oil is measured to be 512 β - /min. What fraction of the ring was worn off during the test?
4. A multiplying medium has a neutron population of 1.0 x 1012 neutrons per cubic centimeter at time t = 10 seconds. At time t = 35 seconds, the neutron population is 6.3 x 104 neutrons per cubic centimeter. (a) What is the period in this system? (b) If the neutron lifetime is 0.02 seconds, what is the multiplication factor in this medium?
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