Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 41, Problem 44AP
(a)
To determine
The expression for probability.
(b)
To determine
The graph of P as a function of
(c)
To determine
The value of r for which probability of finding the electron inside and outside are the same.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Chapter 38, Problem 071
For the arrangement of Figure (a) and Figure (b), electrons in the incident beam in region 1 have energy E
has a height of U1
= 823 ev and the potential step
= 617 ev. What is the angular wave number in (a) region 1 and (b) region 2? (c) What is the reflection coefficient? (d)
If the incident beam sends 5.29 x 105 electrons against the potential step, approximately how many will be reflected?
V= 0
V< 0
x = 0
region 1
region 2
(a)
Energy
--E-
Electron
(b)
Problem 1. Consider the following 1-dimensional model of negative ion photodetachment. Let m be
the electron mass, and assume the electron-atom potential energy is an attractive delta function,
V(x)= - V. 8(x) with coefficient -Vo.
(b) Now suppose a weak time-dependent perturbing electric field is applied along the x-axis, equal to
E(t)= E, exp(-i w t) +c.c.; Find the energy-normalized final state eigenfunctions for the unperturbed
Hamiltonian, having odd parity.
(c) Using the Golden Rule, calculate the photodetachment rate as a function of (hbar w) in these units,
i.e. calculate the probability per unit time in these units for the electron to escape to infinity. Glve an
analytic expression and plot it from 0 final state energy up to an energy|10 E(ground) |, i.e. for
frequencies that reach up to a final state energy that is 10 times the absolute value of the ground state
energy. For making a plot of these numerical values, use V. =0.03 and a field strength amplitude
Eo=0.0002.
Problem 7: The electric potential near a hydrogen atom can
be modeled as the equation to the right where ao is the Bohr
radius and q is the charge on the central proton.
V (r)
exp(- 2r/a,)(1 +a/r)
Randomized Variables
m = 2
n = 3
Part (a) Find an expression for the 0-component of the electric field, Eg.
Numeric : A numeric value is expected and not an expression.
Eg =
Part (b) Find an expression for the o-component (azimuthal) of the electric field, Eo
Expression :
Select from the variables below to write your expression. Note that all variables may not be required.
a, B, 0, a, b, c, d, g, h, j, k, m, P, S, t
Part (c) What is the change in the magnitude of the electric field (in N/C) if a test point moves from the position (x = m²ao, y
= 0, z = 0) to position (x = n-ao, y = 0, z = 0).
Numeric : A numeric value is expected and not an expression.
ΔΕ Ξ
Chapter 41 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 41.3 - Prob. 41.1QQCh. 41.3 - Prob. 41.2QQCh. 41.4 - Prob. 41.3QQCh. 41.4 - Prob. 41.4QQCh. 41.8 - Prob. 41.5QQCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5P
Ch. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 13PCh. 41 - Prob. 14PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 35PCh. 41 - Prob. 36PCh. 41 - Prob. 37APCh. 41 - Prob. 39APCh. 41 - Prob. 40APCh. 41 - Prob. 41APCh. 41 - Prob. 42APCh. 41 - Prob. 44APCh. 41 - Prob. 45APCh. 41 - Prob. 46APCh. 41 - Prob. 47APCh. 41 - Prob. 49APCh. 41 - Prob. 50APCh. 41 - Prob. 51CPCh. 41 - Prob. 52CP
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 triply ionised beryllium atom (Be+++, Z = 4) has only one electron in orbit about the nucleus. If the electron decays from the n 7 level to the first excited state (n = 2), calculate the wavelength of the photon emitted. Please give your answer in units of nm, rounded to one decimal place. Answer:arrow_forwardUse Boltzmann distribution to solve this problem.A system consists of 3, 000 particles that can only occupy two energy levels: a nondegen-erate ground state of 0.052 eV and a threefold degenerate excited state at 0.156 eV. IfT = 900 K,(a) find the number of particles at each energy level.(b) what is the total energy of the system?arrow_forwardWhat is the probability that a neutron can move one mean free path without interacting in a medium? 1(x) λ== e-Ex Io Σε =arrow_forward
- Use the Saha equation to determine the fraction of Hydrogen atoms that are ionized Nu/Ntotal at the center of the Sun, where the temperature is 15.7 million K and the electron number density is ne=6.1x1031 /m³. Don't try to compare your result with actual data, as your result will be lower due to not taking the pressure into account. Since most of the neutral H atoms are in the ground state, use Zrdegeneracy3D2 and, since a H ion is just a proton, Zı=1. Also, use XI=13.6 eV.arrow_forwardThe population density, Ni, corresponding to a discrete energy level, E₁, for a group of N like particles in Local Thermodynamic Equilibrium (LTE) state can be described by the following equation N₂ 9₁c-Ei/(KRT) Z(T) N i) Define the remaining quantities or constants in the above equation. ii) = Produce an expression for Z(T) as a function of T. In order to calculate Z(T) for a particular atomic gas such as argon, what atomic data or information needs to be made available before the calculation is carried out? iii) To uniquely describe the population density distribution corresponding to different discrete energy levels of a diatomic molecular gas such as CO in equilibrium, how many Z(T) functions need to be used and why?arrow_forwardPlease Asaparrow_forward
- We can approximate an electron moving in a nanowire (a small, thin wire) as a one-dimensional infi nite square-well potential. Let the wire be 2.0 μm long. The nanowire is cooled to a temperature of 13 K, and we assume the electron’s average kinetic energy is that of gas molecules at this temperature ( 3kT/2). (a) What are the three lowest possible energy levels of the electrons? (b) What is the approximate quantum number of electrons moving in the wire?arrow_forwardImpurities in solids can be sometimes described by a particle-in-a-box model. Suppose He is substituted for Xe, and assume a particle-in-a-cubic-box model, the length of whose sides is equal to the atomic diameter of Xe (≈ 2.62 Å). Compute the lowest excitation energy for the He atom’s motion. (This is the energy difference between the ground state and the first excited state.)arrow_forwardOne of the bound states of positronium has a lifetime given in natural units by T = 2/mas where m is the mass of the electron and a is the fine structure con- stant. Using dimensional arguments introduce the factors ħ and c and determine T in seconds.arrow_forward
- where ?∞ = 1.097 × 10^7 m−1is the Rydberg constant and ? is the atomic number (thenumber of protons found in the nucleus). Calculate the ground state energy of a triplyionised beryllium atom, Be3+ (a beryllium atom with three electrons removed).arrow_forwardConsider the Bohr model as applied to the following three atoms: (A) neutral hydrogen in the state n = 2; (B) singly ionized helium in the state n = 1; (C) doubly ionized lithium in the state n = 3. Part A Q Search Rank these three atoms in order of decreasing orbital radius. Rank atoms from largest to smallest Bohr radius. To rank items as equivalent, overlap them. Largest P Pearson atom A atom B atom C Reset Help Smallest Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | 7:18 PM 12/11/2022arrow_forwardConsider hydrogen in the ground state, 100 . (a) Use the derivative to determine the radial position for which the probability density, P(r), is a maximum. (b) Use the integral concept to determine the average radial position. (This is called the expectation value of the electrons radial position.) Express your answers into terms of the Bohr radius, a0. Hint: The expectation value is the just average value, (c) Why are these values different?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
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