Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 6, Problem 36E
(a)
To determine
Time taken to decay.
(b)
To determine
Inference of corresponding value of
(c)
To determine
Sensitivity of decay time to height of potential barrier.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Model the effective potential seen by the least bound proton in the nucleus as a square well with
depth Bn inside the nuclear radius R, plus a repulsive Coulomb potential from a uniform charge
distribution of the other protons inside the nucleus. Estimate Br for 209 Bi (mass number A = 209
and atomic number Z = 83), the largest stable isotope. How is Bn related to the depth of the
nuclear potential Vo?
Hint: The electrostatic potential a distance r from the center of a uniformly charged sphere of
radius R and total charge Q is given by:
for r < R.
Q
V =
(3R² — r²)
8πTEOR³
A neutron of mass m of energy E a,V(x) = +V )
II. Estimate the kinetic energy of the nucleons when they reach
region II.
PROBLEM 2: Consider neutrons slowing down by elastic scattering from 1.0 MeV to 0.025 eV
in large spatially homogeneous regions.
(a) Estimate the number of scattering events required for these neutrons to slow down in large
regions of hydrogen (A = 1), iron (A = 56), and uranium (A = 238).
(b) Suppose that in each neutron-nucleus collision, the probability that a neutron is captured
is 0.001 (independent of energy). Estimate the probability that these neutrons in regions
238) will not be captured while
of hydrogen (A
1), iron (A
56), and uranium (A
slowing down from 1.0 MeV to 0.025 e V.
Note: In practice, the probability that a neutron with energy E will be captured depends on E.
This makes realistic calculations of the non-capture probability considerably more difficult.
Chapter 6 Solutions
Modern Physics
Ch. 6 - Prob. 1CQCh. 6 - Prob. 2CQCh. 6 - Prob. 3CQCh. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - Prob. 9CQCh. 6 - Prob. 10CQ
Ch. 6 - The diagram below plots (k) versus wave number for...Ch. 6 - Prob. 12CQCh. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Prob. 17ECh. 6 - Prob. 18ECh. 6 - Prob. 19ECh. 6 - Prob. 20ECh. 6 - Prob. 21ECh. 6 - Prob. 22ECh. 6 - Prob. 23ECh. 6 - Prob. 24ECh. 6 - Prob. 25ECh. 6 - Prob. 26ECh. 6 - Prob. 27ECh. 6 - Prob. 28ECh. 6 - Obtain the smoothness conditions at the...Ch. 6 - Prob. 30ECh. 6 - Prob. 31ECh. 6 - Jump to Jupiter The gravitational potential energy...Ch. 6 - Prob. 33ECh. 6 - Obtain equation (618) from (616) and (617).Ch. 6 - Prob. 35ECh. 6 - Prob. 36ECh. 6 - Prob. 37ECh. 6 - Prob. 38ECh. 6 - Prob. 39ECh. 6 - Prob. 40ECh. 6 - Prob. 41ECh. 6 - Prob. 42ECh. 6 - Prob. 43ECh. 6 - Prob. 44ECh. 6 - Prob. 45ECh. 6 - Prob. 46ECh. 6 - Prob. 47ECh. 6 - Prob. 48ECh. 6 - Prob. 49ECh. 6 - Prob. 50ECh. 6 - Prob. 51CECh. 6 - Prob. 52CECh. 6 - Prob. 53CECh. 6 - Prob. 54CECh. 6 - Prob. 56CE
Knowledge Booster
Similar questions
- An alpha particle with kinetic energy 11.0 MeV makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude L=pob, where po is the magnitude of the initial momentum of the alpha particle and Part A What is the distance of closest approach? m. (Assume that the lead nucleus Express your answer in meters. remains stationary and that it may be treated as a point charge. The atomic number of lead is 82. The alpha particle is a helium nucleus, with atomic number 2.) να ΑΣφarrow_forwardThe degeneracy pressure of the electrons can stabilize the collapse of a star due to gravity by equating the gravitational inward pressure with the outward electron gas degeneracy pressure. These cold stars called white dwarfs have small radii compared to their original size and this radius decreases as the original mass of the star increases. As the mass of a star increases, the electron energy increases to a point in which their energy has to be treated relativistically. (a) Evaluate the degeneracy pressure for ultra-relativistic electrons (problem 2, above). (b) As the pressure increases, the reaction e − + p → n + ν takes place. The neutrinos (ν) escape as matter is transparent to them, electrons and protons convert to neutrons until we are left with a neutron star. Using your expression for the degeneracy pressure obtained in (a) above, equate the gravitational pressureto the neutron degeneracy pressure (replace the electron’s mass in your degeneracy pressure expression from (a)…arrow_forwardSketch the potential for a-decay, assuming it can be modelled as a pre-formed particle inside the daughter nucleus. On this sketch, illustrate a typical tunnelling wave-function, which has an energy Q which is less than the potential for R R.) 2arrow_forward
- Table 1 lists the systematic uncertainties on a matter-antimatter asymmetry, also known as charge-paritv (CP) asvmmetrv, measured for the decay of a Dº meson into a K+K¯a+n¯ final state. Given that the CP asymmetry is defined by NA- NB A NA + NB where NA = 10974± 117 and NB = 10749±116, compute the value and uncertainty on A, writing statistical and systematic uncertainties separately. You may assume that NA and Ng are uncorrelated and that the systematic uncertainties are uncorrelated. Table 1: Systematic uncertainty contributions on A for Dº → K+K¯ata¯ data. Source of systematic uncertainty Magnitude of contribution mis-reconstructed signal shape Charged particle identification momentum (p*(D°)) cut Detector asymmetry 0.001 0.004 0.002 0.001 A. Compute the total systematic uncertainty on this asymmetry.arrow_forwardLet u,= 0.02 cm 1 and u, = 0.04 cm be the partial linear attenuation coefficients in the slab shown in the figure below. Let L = 5 cm and No = 106 particles. How many particles N, are transmitted, and how %3D many are absorbed by each interaction process in the slab? dt Uncharged partleles No N,arrow_forwardA hydrogen atom (with the Bohr radius of half an angstrom) is situated between two metal plates 1 mm apart, which are connected to opposite terminals of a 500 V battery. What fraction of the atomic radius does the separation distance d amount to, roughly? Estimate the voltage you would need with this apparatus to ionize the atom.arrow_forward
- 1. Consider an electron confined in a region of nuclear dimensions (about 5 fm). Find its minimum possible kinetic energy in MeV. Treat this problem as one-dimensional, and use the relativistic relation between E and p. Give your answer to 2 significant figures. (The large value you will find is a strong argument against the presence of electrons inside nuclei, since no known mechanism could contain an electron with this much energy.)arrow_forwardCheck Your Understanding If a=3+4i , what is the product a* a?arrow_forwardShow that the form factor for the charge distribution of model I for a nucleus of radius a is F(q²) = 3{sin(qa/ħ)–(qa/h)cos(qa/h)} (qa/ħ)arrow_forward
- A 20-keV deuteron in a large mirror fusion device has a pitch angle θ of 45 at the midplane, where B = 0.7 T. Compute its Larmor radius.arrow_forwardNow I advise you that start solving the problem in the order that I ask the questions. Neglect BMS =?,v =?,r =?, left or right the electron masses. 1 1. The mass difference between two isotopes is sometimes just a neutron mass. The spectrometer should separate them very well. For such an isotope combination, the difference in radius should be around 1 cm. That is r, – r, = 1 cm. In order to achieve this, choose a magnetic field with a magnitude in Tesla (maximum magnetic field you can obtain from a conventional magnet is around 2.5 T so be far away from this value) and choose the direction also. Then determine the velocity of isotope you need. Last calculate radius r of a Pb04 smallest isotope. 2. In order to produce this magnetic field, determine the current and number of turns, radius and other parameters of a solenoid you need. Also show how you will position Spectrometer r Eys ?, Bys =?,Ws =? 1 Velocity Selector this solenoid. 1 3. Now in velocity selector region, determine the…arrow_forwardProblem A newly discovered light positively charged particle has a mass of m and charge q. Suppose it moves within the vicinity of an extremely heavy (fixed in place) particle with a positive charge Q and mass M. When the light particle is xi distance from the heavy particle, it is moving directly away from the heavy particle with a speed of vi. a) What is the lighter particle's speed when it is xf away from the heavy particle? (Consider the Newtonian Gravitation acting between the two charged particles. Ignore the effects of external forces) Solution: We may solve this using two approaches. One involves the Newton's Laws and the other involving Work-Energy theorem. To avoid the complexity of vector solution, we will instead employ the Work-Energy theorem, more specifically, the Conservation of Energy Principle. Let us first name the lighter particle as object 1 and the heavy particle as object 2. Through work-energy theorem, we will take into account all of the energy of the…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax