Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 8, Problem 76P
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The radioactive element radium (Ra) decays by a process known as alpha decay, in which the nucleus emits a helium nucleus. (These high-speed helium nuclei were named alpha particles when radioactivity was first discovered, long before the identity of the particles was established.) The reaction is 226Ra → 222Rn + 4He, where Rn is the element radon. The accurately measured atomic masses of the three atoms are 226.025, 222.017, and 4.003. How much energy is released in each decay? (The energy released in radioactive decay is what makes nuclear waste “hot.”)
The carbon isotope 14C is used for carbon dating of objects. A 14C nucleus can change into a different kind of element, a neighbor on the periodic table with lower mass, by emitting a beta particle – an electron or positron – plus a neutrino or an anti-neutrino. Consider the scenario where 14C ( mass of 2.34 x 10 -26) decays by emitting an electron and anti neutrino. The electron has a mass of 9.11x 10-31 kg and a speed of 1.0 x107 m/s. While the anti neutrino has a momentum of 1.0x10-24 kg-m/s. If the electron and anti neutrino are emitted at right angles from each other, calculate the recoil speed of the nucleus.
A Uranium-235 atom (235.0439 u) that is initially at rest undergoes a fission reaction
(breaks apart) and releases Barium-139 (138.9088 u) and Krypton-95 (94.9398 u),
and two neutrons (1.00866491588 u). If the Barium-139 moves at 1.10 x 10^5 m/s
[E] and the Krypton-95 moves at 1.59 x 10^5 m/s [N 15 degrees W], calculate the
combined momenta of the remaining neutrons. Recall: u = 1.6605* 10^-27 kg
Chapter 8 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - Prob. 6PCh. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - Prob. 9PCh. 8 - Prob. 10P
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