EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
4th Edition
ISBN: 9780133899634
Author: GIANCOLI
Publisher: PEARSON CO
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 38, Problem 19P
(a)
To determine
The wave function of a free electron.
(b)
To determine
The wave function of a free proton.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
b) Find E at (0,4,0)
P, = 2 mC
2
(0 4, 0)
In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Å:
(a) Estimate the potential energy of the system in eV, taking the zero of the potential
energy at infinite separation of the electron from proton.
A particle with mass m is in a field and has the state (in spherical coordinates) :
Where N > 0 and a > 0 are fixed numbers. Determine the average kinetic energy of the particles.
Chapter 38 Solutions
EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
Ch. 38.3 - Prob. 1AECh. 38.8 - Prob. 1BECh. 38.8 - Prob. 1CECh. 38.9 - Prob. 1DECh. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Would it ever be possible to balance a very sharp...Ch. 38 - Prob. 6Q
Ch. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10QCh. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 17QCh. 38 - Prob. 18QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46GPCh. 38 - Prob. 47GPCh. 38 - Prob. 48GPCh. 38 - Prob. 49GPCh. 38 - Prob. 50GPCh. 38 - Prob. 51GPCh. 38 - Prob. 52GPCh. 38 - Prob. 53GPCh. 38 - Prob. 54GPCh. 38 - Prob. 55GPCh. 38 - Prob. 56GPCh. 38 - Prob. 57GPCh. 38 - Prob. 58GPCh. 38 - Prob. 59GP
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
- (2nx sin \1.50. 2nz Consider the case of a 3-dimensional particle-in-a-box. Given: 4 = sin(ny) sin 2.00. What is the energy of the system? O 6h?/8m O 4h²/8m O 3h2/8m O none are correctarrow_forwardGiven the potential function V = x2y(z+3), determine the electric potential at (3, 4, -6).arrow_forward(a) Single electron in a non-conducting medium can be modeled as a damped harmonic oscillator, driven at frequency w. Mathematically we can write it as dr + my+ mwžx = qEo cos(wt) 2/3 m dt Employing above model for differently situated large number of electrons within a molecule, discus. dielectric constant, index of refraction and absorption coefficient for a non-conducting medium. (b) Using expression given below, find the width of anomalous dispersion region for the case of a single resonance at frequency wo f;(w} – w²) (w} – w²)2 + 7?w² n =1+ Σ 2meo here n and f; represents refractive index and number of electrons, other symbols have their usual meanings.arrow_forward
- If one of the two electrons of a H2 molecule is removed, we get a hydrogen molecular ion H+2. In the ground state of an H+2 , the two protons are separated by roughly 1.5 Å, and the electron is roughly 1 Å from each proton. Determine the potential energy of the system. Specify your choice of the zero of potential energy.arrow_forwardThe motion of electrons in a conductor is purely random in nature as the electrons do not follow a strict path to move from one location to the other. For a short burst of time, one of the electrons in a conductor being studied is identified to be moving approximately in the following manner: (a) (b) 7=(cos(zy)-x, cos(xz) — y, cos(xy) - z). Calculate the divergence of 7. Determine whether the electron has any tendency to rotate at point (0,0,0).arrow_forwardConsider a system of N free electrons within a volume V. Even at absolute zero, such a system exerts a pressure P on its surroundings due to the motion of the electrons. To calculate this pressure, imagine that the volume increases by a small amount dV. The electrons will do an amount of work PdV on their surroundings, which means that the total energy Erot of the electrons will change by an amount dEtot = -PdV. Hence P = -dErot/dV. a) Show that the pressure of the electrons at absolute zero is 2 N P ==EFo, where Ero denotes the Fermi energy at absolute zero. b) Calculate Efo and P for solid copper, which has a free-electron concentration of 8.45 x 1028 m-3. Express Ero and P in electronvolts and atmospheres, respectively. c) The pressure you found in part (b) is extremely high. Why, then, don't the electrons in a piece of copper simply explode out of the metal?arrow_forward
- Electrons, thermionically emitted from a cathode in a vacuum valve, travel across a potential difference of 1000V to the anode. What is the velocity of the electrons as a fraction of the velocity of light, c, when they reach the anode? Select one: а. 0.004c b. 0.13c С. 0.063c d. 0.02carrow_forwardElectrons, thermionically emitted from a cathode in a vacuum valve, travel across a potential difference of 1000V to the anode. What is the velocity of the electrons as a fraction of the velocity of light, c, when they reach the anode?arrow_forwardConsider a system of N free electrons within a volume V. Even at absolute zero, such a system exerts a pressure P on its surroundings due to the motion of the electrons. To calculate this pressure, imagine that the volume increases by a small amount dV. The electrons will do an amount of work PdV on their surroundings, which means that the total energy Etot of the electrons will change by an amount dEtot = -PdV. Hence P = -dEtot/dV. (a) First, write down the expression of Etot as an integral involving the density of states g(E) and the Fermi- Dirac distribution function f(E) at temperature T. Then evaluate this integral by setting T = 0, and obtain Etot as a function of N and the Fermi energy EFo. (b) Show that the pressure of the electrons at absolute zero is 2 N P = EFo- 5 V (c) Calculate EFo and P for solid copper that has a free-electron concentration of 8.45 × 1028 m-3. Express EFo and P in electronvolts and atmospheres, respectively. (d) The pressure you found in part (c) is…arrow_forward
- Calculate the energy equivalent of 1 g of substance.arrow_forwardThe dielectric constant of a helium gas at NTP is 1.0000584. Calculate the electron polarizability of helium atoms if the gas contains 3× 10^26 atoms/m^3 and hence calculate the radius of helium atom ( = 8.854 × 10^–12 Fm–1)arrow_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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON