Fundamentals of Physics, Binder Ready Version
10th Edition
ISBN: 9781118230640
Author: Halliday, David; Resnick, Robert; Walker, Jearl
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Question
Chapter 39, Problem 22P
To determine
To find:
Ground state energy of electron in the rectangular corral
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
.8 O An electron is trapped in a one-dimensional infinite well
and is in its first excited state. Figure 39-27 indicates the five longest
wavelengths of light that the electron could absorb in transitions
from this initial state via a single photon absorption: A, = 80.78 nm,
A, = 33.66 nm, A = 19.23 nm, A, = 12.62 nm, and A, = 8.98 nm.
What is the width of the potential well?
%3D
%3!
2 (nm)
Figure 39-27 Problem 8.
JC-42) Probability to Find an Electron
An electron in its ground state is trapped in the 1D Coulomb potential energy. What is the
0.99ao and x =
probability to find it in the region between x =
1.01ao?
4 Figure 39-25 shows three infinite potential wells, each on an x
axis. Without written calculation, determine the wave function
for a ground-state electron trapped in each well.
U.
2L
O L/2
-L/2 +L/2
(a)
(b)
(c)
Figure 39-25 Question 4.
Chapter 39 Solutions
Fundamentals of Physics, Binder Ready Version
Ch. 39 - Prob. 1QCh. 39 - Prob. 2QCh. 39 - Prob. 3QCh. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - Prob. 8QCh. 39 - Prob. 9QCh. 39 - Prob. 10Q
Ch. 39 - Prob. 11QCh. 39 - Prob. 12QCh. 39 - Prob. 13QCh. 39 - Prob. 14QCh. 39 - Prob. 15QCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3PCh. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 7PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 28PCh. 39 - Prob. 29PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46PCh. 39 - Prob. 47PCh. 39 - Prob. 48PCh. 39 - Prob. 49PCh. 39 - Prob. 50PCh. 39 - Prob. 51PCh. 39 - Prob. 52PCh. 39 - Prob. 53PCh. 39 - Prob. 54PCh. 39 - Prob. 55PCh. 39 - Prob. 56PCh. 39 - Prob. 57PCh. 39 - Prob. 58PCh. 39 - Prob. 59PCh. 39 - Prob. 60PCh. 39 - Prob. 61PCh. 39 - Prob. 62PCh. 39 - Prob. 63PCh. 39 - Prob. 64PCh. 39 - A diatomic gas molcculc consistsof two atoms of...Ch. 39 - Prob. 66PCh. 39 - Prob. 67PCh. 39 - Prob. 68PCh. 39 - Prob. 69PCh. 39 - Prob. 70PCh. 39 - An old model of a hydrogen atom has the charge e...Ch. 39 - Prob. 72PCh. 39 - Prob. 73P
Knowledge Booster
Similar questions
- A hydrogen atom initially in the n = 1 ground state absorbs a photon which excites the atom to the n = 3 state. Determine the frequency of the photon, in Hertz, (Hz).arrow_forwardAn electron is contained in the rectangular corral , with widths Lx= 800 pm and Ly= 1600 pm. What is the electron’s ground-state energy?arrow_forwardDetermine ψ∗ψ for the following wave functions:a) ψ(θ) = sin θ + icosθ b) ψ(x) = eiaxarrow_forward
- An electron is confined to a region of space of length 0.19 nm— comparable in size to an atom. What are the first three allowed energies of the electron?arrow_forward(a) How much energy is required to cause an electron in hydrogen to move from the n = 1 state to the n = 2 state? (b) If the electrons gain this energy by collision between hydrogen atoms in a high-temperature gas, find the minimum temperature of the heated hydrogen gas. The thermal energy of the heated atoms is given by 3kBTarrow_forwardJC-59) Stern-Gerlach Revisited Suppose the silver atoms in the Stern-Gerlach experiment traveled horizontally, first 1 m through the magnet and then after exiting the magnet, 1 m in a field-free region at a speed of 250 m/s. What must have been the gradient of Bz, dB/dz, in order that the beams each be deflected a maximum of 0.5 mm from the central position?arrow_forward
- Determine the integral | P(r) dr for the radial probability density for the ground state of the hydrogen atom 4 P(r) = - r²e-2rla a³ O 1 O-1 O 0.5arrow_forwardThe radial wavefunction for 2p orbital is given by the following equation: -r 1 r 42,1 = √3 200 e 200 απ Calculate the normalization constant. Integration helps: TI-84 Plus TEXAS INSTRUMENTS Error χη "e-ax dx = n! an+1arrow_forward(a) How much energy is required to cause an electron in hydrogen to move from the n = 1 state to the n = 3 state? eV(b) If the electrons gain this energy by collision between hydrogen atoms in a high temperature gas, find the minimum temperature of the heated hydrogen gas. The thermal energy of the heated atoms is given by 3kBT/2, where kB is the Boltzmann constant. Karrow_forward
- Compute the intrinsic line-width (AX) of the Lyman a line (corresponding to the n = 2 to n = 1) transition for the Hydrogen atom. You may assume that the electron remains in the excited state for a time of the order of 10 s. The line-width may be computed using: e hc ΔΕarrow_forwardCalculate the probability of an electron in the 2s state of the hydrogen atom being inside the region of the proton (radius ≈ 1.2 x 10-15 m). Repeat for a 2p electron.arrow_forwardCompute the intrinsic line-width (Δλ) of the Lyman α line (corresponding to the n=2 to n=1) transition for the Hydrogen atom. You may assume that the electron remains in the excited state for a time of the order of 10^−8s. The line-width may be computed using:ΔE=(hc/λ^2)Δλarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning