University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 44, Problem 44.5E
To determine
The speed of the
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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.
i need the answer quickly
Consider the α decay 92U143→ 90Th141+2He2.
1. What energy, in megaelectron volts, is released in this decay? The mass of the daughter nuclide is 231.036298 u.
2. Assuming the residual nucleus is formed in its ground state, how much of the released energy, in megaelectron volts, goes to the α particle? Assume the uranium nucleus starts at rest.
Chapter 44 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 44.1 - Each of the following particles can be exchanged...Ch. 44.2 - Prob. 44.2TYUCh. 44.3 - From conservation of energy, a particle of mass m...Ch. 44.4 - Prob. 44.4TYUCh. 44.5 - Prob. 44.5TYUCh. 44.6 - Is it accurate to say that your body is made of...Ch. 44.7 - Prob. 44.7TYUCh. 44 - Prob. 44.1DQCh. 44 - Prob. 44.2DQCh. 44 - When they were first discovered during the 1930s...
Ch. 44 - The gravitational force between two electrons is...Ch. 44 - Prob. 44.5DQCh. 44 - Prob. 44.6DQCh. 44 - Prob. 44.7DQCh. 44 - Prob. 44.8DQCh. 44 - Prob. 44.9DQCh. 44 - Does the universe have a center? Explain.Ch. 44 - Prob. 44.11DQCh. 44 - Prob. 44.12DQCh. 44 - Prob. 44.13DQCh. 44 - Prob. 44.1ECh. 44 - Prob. 44.2ECh. 44 - Prob. 44.3ECh. 44 - Prob. 44.4ECh. 44 - Prob. 44.5ECh. 44 - Prob. 44.6ECh. 44 - Prob. 44.7ECh. 44 - An electron with a total energy of 30.0 GeV...Ch. 44 - Deuterons in a cyclotron travel in a circle with...Ch. 44 - The magnetic field in a cyclotron that accelerates...Ch. 44 - Prob. 44.11ECh. 44 - Prob. 44.12ECh. 44 - Prob. 44.13ECh. 44 - Prob. 44.14ECh. 44 - Prob. 44.15ECh. 44 - Prob. 44.16ECh. 44 - Prob. 44.17ECh. 44 - Prob. 44.18ECh. 44 - What is the mass (in kg) of the Z0? What is the...Ch. 44 - Prob. 44.20ECh. 44 - Prob. 44.21ECh. 44 - Prob. 44.22ECh. 44 - Prob. 44.23ECh. 44 - Prob. 44.24ECh. 44 - Prob. 44.25ECh. 44 - Prob. 44.26ECh. 44 - Prob. 44.27ECh. 44 - Prob. 44.28ECh. 44 - Prob. 44.29ECh. 44 - Prob. 44.30ECh. 44 - Prob. 44.31ECh. 44 - Prob. 44.32ECh. 44 - Prob. 44.33ECh. 44 - Prob. 44.34ECh. 44 - Prob. 44.35ECh. 44 - Prob. 44.36ECh. 44 - Prob. 44.37ECh. 44 - Prob. 44.38ECh. 44 - Prob. 44.39PCh. 44 - Prob. 44.40PCh. 44 - Prob. 44.41PCh. 44 - Prob. 44.42PCh. 44 - Prob. 44.43PCh. 44 - Prob. 44.44PCh. 44 - Prob. 44.45PCh. 44 - Prob. 44.46PCh. 44 - Prob. 44.47PCh. 44 - Prob. 44.48PCh. 44 - Prob. 44.49PCh. 44 - Prob. 44.50PCh. 44 - Prob. 44.51PCh. 44 - The K0 meson has rest energy 497.7 MeV. A K0 meson...Ch. 44 - DATA While tuning up a medical cyclotron for use...Ch. 44 - Prob. 44.54PCh. 44 - Prob. 44.55PCh. 44 - Consider a collision in which a stationary...Ch. 44 - Prob. 44.57PPCh. 44 - Prob. 44.58PPCh. 44 - Prob. 44.59PP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (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_forwardThe electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical. (a) What is the thermal nuclear power output in megawatts? (b) How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? (c) What mass of 235U is fissioned in one year of fullpower operation?arrow_forward(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?arrow_forward
- (a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forward(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
- The electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical power. What is the thermal nuclear power output in megawatts? How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? What mass of 235U is fissioned in 1 year of full-power operation?arrow_forward(a) Calculate the energy released in the neutron- induced fission n+238U96Sr+140Xe+3n , given m(96Sr)=95.921750uand m(140Xe)=139.92164 . This result is about 6 MeV greater than the result for spontaneous fission. Why? Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forwardUnreasonable Results A particle physicist discovers a neutral particle with a mass at 2.02733 u that he assumes is two neutrons bound together. (a) Find the binding energy. (b) What is unreasonable about this result? (c) What assumptions are unreasonable or inconsistent?arrow_forward
- Taking into account the recoil (kinetic energy) of the daughter nucleus, calculate the kinetic energy K, of the alpha particle in the following decay of a 235U nucleus at rest. 235 U 231 Th+a K₁ == MeVarrow_forwardWhen bismuth-210 decays, it can do so either via alpha decay or via negative beta decay. [Note: you may assume that the recoil energy of the daughter nucleus is negligible and may be ignored for both types of decay.] a. Write the nuclear decay equations for both the beta decay and the alpha decay b. Compute the kinetic energy of the emitted alpha particle in the alpha decay in units of MeV.arrow_forwardOne method used to determine unknown atomic masses consists of precisely measuring the kinetic energies of the particles involved in a nuclear reaction and using known atomic masses. The mass of 34Si is determined by the 30Si(18O, 14O)34Si reaction initiated by 100-MeV 18O particles. The outgoing particles have 86.63 MeV of energy, which can be determined only by measuring the 14O energy and using the conservation of momentum and energy. (a) What is the Q value of the reaction? (b) What is the mass of 34Si assuming the other three masses involved are knownarrow_forward
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