University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
14th Edition
ISBN: 9780134265414
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 43, Problem 43.12E
(a)
To determine
Whether the decay
(b)
To determine
Whether the decay
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Consider the following a-decay of the Uranium nucleus
236 U → 332Th + a.
90
(a) Show how the mass number (Aa) and atomic number (Za) of the alpha particle are obtained from
this equation.
(b) Calculate the Q-value (Qa) of the reaction.
(c) Calculate the speed va = √2MQ of the alpha particle after it has been ejected from the parent
nucleus, in terms of the speed of light c. M =
-, mp and ma are the atomic masses
(ma+mp) x ma
mp
of the daugher nucleus and the alpha particle, respectively.
(d) Calculate the classical turning radius Re= 2Zpe²/Qa, where Zp is the atomic number of the
daughter nucleus, and e² = 1.44 MeV. fm.
(e) Calculate the decay probability Pa that the alpha particle will tunnel through the barrier.
HINT: In calculating the probability, use the fact that ħc=197.327 MeV fm. The formula to use
is given on page 5.
The atomic mass of 14C is 14.003242 u. (a) Can the β- decay of 14C occur spontaneously? Explain. What is the value of the disintegration energy Q? The atomic masses of 14N (Z=7) and of 14B (Z=5) are respectively, 14.003074 u and 14.025404 u. (b) What becomes of this energy Q?
223
A
Ra nucleus undergoes alpha decay according to the reaction
223
219
He. Determine the following. (Let the
88
Ra →
88
86 Rn +
223
Ra be 223.0185 u, the atomic mass of
atomic mass of
219
Rn be 219.0095 u and the atomic mass of He be 4.0026 u.)
86
(a) Q value (in MeV) for the process (Enter your answer to at least two decimal places.)
MeV
(b) Kinetic energy (in MeV) of the alpha particle after the decay (Enter your answer to at least two decimal places.)
MeV
(c) Kinetic energy (in MeV) of the daughter nucleus after the decay
MeV
Chapter 43 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Ch. 43.1 - Prob. 43.1TYUCh. 43.2 - Rank the following nuclei in order from largest to...Ch. 43.3 - Prob. 43.3TYUCh. 43.4 - Prob. 43.4TYUCh. 43.5 - Prob. 43.5TYUCh. 43.6 - Prob. 43.6TYUCh. 43.7 - Prob. 43.7TYUCh. 43.8 - Prob. 43.8TYUCh. 43 - Prob. 43.1DQCh. 43 - Prob. 43.2DQ
Ch. 43 - Prob. 43.3DQCh. 43 - Prob. 43.4DQCh. 43 - Prob. 43.5DQCh. 43 - Prob. 43.6DQCh. 43 - Prob. 43.7DQCh. 43 - Prob. 43.8DQCh. 43 - Prob. 43.9DQCh. 43 - Prob. 43.10DQCh. 43 - Prob. 43.11DQCh. 43 - Prob. 43.12DQCh. 43 - Prob. 43.13DQCh. 43 - Prob. 43.14DQCh. 43 - Prob. 43.15DQCh. 43 - Prob. 43.16DQCh. 43 - Prob. 43.17DQCh. 43 - The most common radium isotope found on earth,...Ch. 43 - Prob. 43.19DQCh. 43 - Prob. 43.20DQCh. 43 - Prob. 43.1ECh. 43 - Prob. 43.2ECh. 43 - Prob. 43.3ECh. 43 - Prob. 43.4ECh. 43 - Prob. 43.5ECh. 43 - Prob. 43.6ECh. 43 - Prob. 43.7ECh. 43 - Prob. 43.8ECh. 43 - Prob. 43.9ECh. 43 - Prob. 43.10ECh. 43 - Prob. 43.11ECh. 43 - Prob. 43.12ECh. 43 - Prob. 43.13ECh. 43 - Prob. 43.14ECh. 43 - Prob. 43.15ECh. 43 - Prob. 43.16ECh. 43 - Prob. 43.17ECh. 43 - Prob. 43.18ECh. 43 - Prob. 43.19ECh. 43 - Prob. 43.20ECh. 43 - Prob. 43.21ECh. 43 - Prob. 43.22ECh. 43 - Prob. 43.23ECh. 43 - Prob. 43.24ECh. 43 - Prob. 43.25ECh. 43 - Prob. 43.26ECh. 43 - Measurements on a certain isotope tell you that...Ch. 43 - Prob. 43.28ECh. 43 - Prob. 43.29ECh. 43 - Prob. 43.30ECh. 43 - Prob. 43.31ECh. 43 - Prob. 43.32ECh. 43 - Prob. 43.33ECh. 43 - Prob. 43.34ECh. 43 - Prob. 43.35ECh. 43 - Prob. 43.36ECh. 43 - Prob. 43.37ECh. 43 - Prob. 43.38ECh. 43 - Prob. 43.39ECh. 43 - Prob. 43.40ECh. 43 - Prob. 43.41ECh. 43 - Energy from Nuclear Fusion. Calculate the energy...Ch. 43 - Prob. 43.43ECh. 43 - Prob. 43.44ECh. 43 - Prob. 43.45ECh. 43 - Prob. 43.46ECh. 43 - Prob. 43.47PCh. 43 - Prob. 43.48PCh. 43 - Prob. 43.49PCh. 43 - Prob. 43.50PCh. 43 - Prob. 43.51PCh. 43 - Prob. 43.52PCh. 43 - Prob. 43.53PCh. 43 - Prob. 43.54PCh. 43 - Prob. 43.55PCh. 43 - Prob. 43.56PCh. 43 - Prob. 43.57PCh. 43 - Prob. 43.58PCh. 43 - Prob. 43.59PCh. 43 - Prob. 43.60PCh. 43 - Prob. 43.61PCh. 43 - Prob. 43.62PCh. 43 - Prob. 43.63PCh. 43 - Prob. 43.64PCh. 43 - Prob. 43.65PCh. 43 - Prob. 43.66PCh. 43 - Prob. 43.67PCh. 43 - Prob. 43.68PCh. 43 - DATA Your company develops radioactive isotopes...Ch. 43 - Prob. 43.70PCh. 43 - Prob. 43.71CPCh. 43 - Prob. 43.72CPCh. 43 - Prob. 43.73PPCh. 43 - Prob. 43.74PPCh. 43 - Prob. 43.75PPCh. 43 - Prob. 43.76PPCh. 43 - Prob. 43.77PP
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- (a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forward(a) How many 239Pu nuclei must fission to produce a 20.0kT yield, assuming 200 MeV per fission? (b) What is the mass of this much 239Pu?arrow_forward(a) Calculate the energy released in the neutron- Induced fission reaction n+235U92Kr+142Ba+2n , given m(92Kr) = 91.926269 u and m(142Ba)= 141.916361 u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forward
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