Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 42, Problem 87P
To determine
To plot:
The electrostatic potential U(r), where r is the distance between α-particle and residual nucleus 234Th, and compare your plot with Fig 42.10 of the textbook.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
ts) We can approximate the 232Th nucleus as a one-dimensional infinite square well
with length L equal to the nuclear radius R = R₁A¹/3, where Ro = 1.2 fm and A is the atomic
mass number.
(a) What is the length of this infinite square well? What is the ground state energy of a
proton (which has mass m₂ = 938.3 MeV/c²) in this infinite square well?
(b) 232Th has 90 protons and 142 neutrons. Assume that all these protons and neutrons
trapped in the infinite square well. How many energy levels of this infinite square well
contain protons? How many energy levels contain neutrons?
An a grain with a kinetic energy of 5 MeV
approaches an Au (gold) nucleus with the
sighting parameter equal to the radius of the
Au nucleus.
a. Find the maximum approach distance of the a
particle to the nucleus in these conditions.
(Za=2, ZAu=79 and rAu=7 fm)
b. How close can the alpha particle get to the
gold core?
c. Únder what conditions can this approach take
place (Assume the target core does not
rebound)
An a particle is emitted by a
230 Th nucleus. Assuming the potential to be purely
Coulombic beyond the point of separation, the height of the Coulomb barrier is
MeV (up to two decimal places).
e?
=1.44 MeV-fm, r, =1.30 fm )
4T Eo
Chapter 42 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 42 - Prob. 1QCh. 42 - Prob. 2QCh. 42 - Prob. 3QCh. 42 - Prob. 4QCh. 42 - Prob. 5QCh. 42 - Prob. 6QCh. 42 - Prob. 7QCh. 42 - Prob. 8QCh. 42 - Prob. 9QCh. 42 - Prob. 10Q
Ch. 42 - Prob. 11QCh. 42 - Prob. 12QCh. 42 - a Which of the following nuclides are magic:...Ch. 42 - Prob. 14QCh. 42 - Prob. 15QCh. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - A 10.2 MeV Li nucleus is shot directly at the...Ch. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - Prob. 6PCh. 42 - Prob. 7PCh. 42 - Prob. 8PCh. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - Prob. 11PCh. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 18PCh. 42 - Prob. 19PCh. 42 - Prob. 20PCh. 42 - Prob. 21PCh. 42 - Prob. 22PCh. 42 - Prob. 23PCh. 42 - A penny has a mass of 3.0 g. Calculate the energy...Ch. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - The half-life of a particular radioactive isotope...Ch. 42 - Prob. 31PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Calculate the mass of a sample of initially pure...Ch. 42 - Prob. 35PCh. 42 - Prob. 36PCh. 42 - Prob. 37PCh. 42 - A dose of 8.60 Ci of a radioactive isotope is...Ch. 42 - Prob. 39PCh. 42 - Prob. 40PCh. 42 - Prob. 41PCh. 42 - Prob. 42PCh. 42 - Prob. 43PCh. 42 - Prob. 44PCh. 42 - Prob. 45PCh. 42 - Prob. 46PCh. 42 - Prob. 47PCh. 42 - Prob. 48PCh. 42 - Prob. 49PCh. 42 - Prob. 50PCh. 42 - Prob. 51PCh. 42 - Prob. 52PCh. 42 - Prob. 53PCh. 42 - Prob. 54PCh. 42 - Prob. 55PCh. 42 - Prob. 56PCh. 42 - Prob. 57PCh. 42 - Prob. 58PCh. 42 - Prob. 59PCh. 42 - Prob. 60PCh. 42 - Prob. 61PCh. 42 - Prob. 62PCh. 42 - Prob. 63PCh. 42 - Prob. 64PCh. 42 - Prob. 65PCh. 42 - Prob. 66PCh. 42 - Prob. 67PCh. 42 - Prob. 68PCh. 42 - Prob. 69PCh. 42 - Prob. 70PCh. 42 - Prob. 71PCh. 42 - Prob. 72PCh. 42 - Prob. 73PCh. 42 - Prob. 74PCh. 42 - Prob. 75PCh. 42 - Prob. 76PCh. 42 - Prob. 77PCh. 42 - Prob. 78PCh. 42 - Prob. 79PCh. 42 - Prob. 80PCh. 42 - Prob. 81PCh. 42 - Prob. 82PCh. 42 - Prob. 83PCh. 42 - Prob. 84PCh. 42 - Prob. 85PCh. 42 - Prob. 86PCh. 42 - Prob. 87PCh. 42 - Characteristic nuclear time is a useful but...Ch. 42 - Prob. 89PCh. 42 - Using a nuclidic chart, write the symbols for a...Ch. 42 - If the unit for atomic mass were defined so that...Ch. 42 - Prob. 92PCh. 42 - Prob. 93PCh. 42 - Prob. 94PCh. 42 - Prob. 95PCh. 42 - Prob. 96PCh. 42 - Prob. 97P
Knowledge Booster
Learn more about
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 radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.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) 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
- The difference in the coulomb energy between the mirror nuclei 49 24 Cr and 49 25 Mn is 6 MeV. Assuming that the nuclei have spherically symmetric charge distribution and that e2is approximately 1.0 MeV-fm. Find the radius of the 49 25 Mn nuclious Plot the radius with the parameter e2.?arrow_forwarda) Calculate the energy corresponding to the Gamow peak for proton-proton fusion at T = 108K. b) Describe the PP chains in stars. c) Consider elastic scattering of electrons by a nucleus with charge distribution given by if r Ri, Pe(r) = = p/2 0 if Ri Ro, where r represents the radial distance from the centre of the nucleus. Calculate the form factor of the process. d) Consider two nuclei 2i4X2i+1 and 2, where i is a positive integer number. According to the semi-empirical mass formula for the binding energy, which one has larger binding energy? Justify your answer.arrow_forwardEstimate the A value and identify the nucleus if its radius is given to be 3.46 fmarrow_forward
- In a neutron-activation experiment, a flux of 108 neutrons/cm2sec is incident normally on a foil of area 1 cm?, density 1022 atoms/cm3 , and thickness 10-2 cm. The target nuclei have a total cross section for neutron capture of 1 barn (10-24 cm2), Find the number of b ( the light particle) per second ? 104 particle/sec 102 particle/sec 106 particle/sec 108 particle/sec Clear my choicearrow_forward) Considering the nucleus as a uniformly charged sphere of radius ?? and total charge ?? prove that potential energy of such nucleus is given by ?? = 1 4????0 3 5 ?? ??arrow_forwardFor the nucleus ¹60 the neutron and proton separation energies are 15.7 and 12.2 MeV, respectively. Estimate the radius of this nucleus assuming that the particles are removed from its surface and that the difference in separation energies is due to the Coulomb potential energy of the proton. [University of Wales, Aberystwyth 2004]arrow_forward
- B5arrow_forwardBecause a nucleon is confined to a nucleus, we can take the uncertainty in its position to be approximately the nuclear radius r. Use the uncertainty principle to determine the uncertainty p in the linear momentum of the nucleon. Using the approximation p =p and the fact that the nucleon is nonrelativistic, calculate the kinetic energy of the nucleon in a nucleus with A = 100.arrow_forwardConsider the nuclei 117Sn50. Determine its mass defect in kilograms if its atomic mass is 116.968 amu. The mass of a proton and neutron are 1.0073 and 1.0087 amu, respectively.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College