Modern Physics for Scientists and Engineers
Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 2P
To determine

The error in percentage in the velocity made by treating the velocity of a 7.7MeV alpha particle non-relativistically.

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Q# 4 (a) A beam of 8.3 MeV alpha particles is directed at an aluminum foil. It is found that the Rutherford scattering formula ceases to be obeyed at scattering angles exceeding about 60°. If the alpha-particle radius is assumed small enough to neglect here, find the radius of the aluminum nucleus.
Gamma-ray detectors like the one described in the preceding problem often use calorimetry to determine gamma-ray energies. Suppose a beam of 100-MeV gamma rays strikes a target with a mass of 2.5 kg and specifi c heat 430 J/(kg # K). How many gamma rays are needed to raise the target’s temperature by 10 mK?
(a) The lifetime of a highly unstable nucleus is 10-12 s. What is the smallest uncertainty (in ev) in its decay energy? ev (b) What is the ratio of this energy, AE, to the rest energy of an electron, Erest? ΔΕ Erest
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