Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
thumb_up100%
Chapter 41, Problem 56AP
(a)
To determine
Allowed energies of a two dimensional potential well in terms of quantum numbers.
(b)
To determine
The quantum numbers for the ground state energy.
(c)
To determine
The ground state energy.
(d)
To determine
The quantum numbers for the first excited state energy.
(e)
To determine
The quantum numbers for the second excited state energy.
(f)
To determine
The second excited state energy.
(g)
To determine
The energy difference between the second excited state and the ground state.
(f)
To determine
The required wavelength of photon for transition between the ground state and the second excited state.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
An electron is confined to move in the xy plane in a rectangle whose dimensions are Lx and Ly. That is, the electron is trapped in a two dimensional potential well having lengths of Lx and Ly. In this situation, the allowed energies of the electron depend on two quantum numbers nx and ny and are given by E = h2/8me (nx2/Lx2 + ny2/Ly2)Using this information, we wish to find the wavelength of a photon needed to excite the electron from the ground state to the second excited state, assuming Lx = Ly = L. (a) Using the assumption on the lengths, write an expression for the allowed energies of the electron in terms of the quantumnumbers nx and ny. (b) What values of nx and ny correspond to the ground state? (c) Find the energy of the ground state. (d) What are the possible values of nx and ny for the first excited state, that is, the next-highest state in terms of energy? (e) What are the possible values of nx and ny for thesecond excited state?…
An electron moves with a speed v 1.25 x 10-4c inside a one-dimensional box (V = 0) of length 48.5 nm. The potential is infi nite elsewhere. The particle may not escape the box. What approximate quantum number does the electron have?
A thin solid barrier in the xy-plane has a 12.6µm diameter circular hole. An electron traveling in
the z-direction with vx
0.00m/s passes through the hole. Afterward, within what range is vx
likely to be?
Chapter 41 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 41.1 - Prob. 41.1QQCh. 41.2 - Prob. 41.2QQCh. 41.2 - Prob. 41.3QQCh. 41.5 - Prob. 41.4QQCh. 41 - Prob. 1OQCh. 41 - Prob. 2OQCh. 41 - Prob. 3OQCh. 41 - Prob. 4OQCh. 41 - Prob. 5OQCh. 41 - Prob. 6OQ
Ch. 41 - Prob. 7OQCh. 41 - Prob. 8OQCh. 41 - Prob. 9OQCh. 41 - Prob. 10OQCh. 41 - Prob. 1CQCh. 41 - Prob. 2CQCh. 41 - Prob. 3CQCh. 41 - Prob. 4CQCh. 41 - Prob. 5CQCh. 41 - Prob. 6CQCh. 41 - Prob. 7CQCh. 41 - Prob. 8CQCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5PCh. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 12PCh. 41 - Prob. 13PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 22PCh. 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. 36PCh. 41 - Prob. 37PCh. 41 - Prob. 38PCh. 41 - Prob. 39PCh. 41 - Two particles with masses m1 and m2 are joined by...Ch. 41 - Prob. 41PCh. 41 - Prob. 42PCh. 41 - Prob. 43APCh. 41 - Prob. 44APCh. 41 - Prob. 45APCh. 41 - Prob. 46APCh. 41 - Prob. 47APCh. 41 - Prob. 48APCh. 41 - Prob. 49APCh. 41 - Prob. 50APCh. 41 - Prob. 51APCh. 41 - Prob. 52APCh. 41 - Prob. 53APCh. 41 - Prob. 54APCh. 41 - Prob. 56APCh. 41 - Prob. 57APCh. 41 - Prob. 58APCh. 41 - Prob. 59CPCh. 41 - Prob. 60CPCh. 41 - Prob. 61CPCh. 41 - Prob. 62CPCh. 41 - Prob. 63CP
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 stream of electrons, each with a kinetic energy of 450 eV, is sent through a potential-free region toward a potential barrier of "height" 500 eV and thickness 0.300 nm. The stream consists of 1 × 1015 electrons. How many should tunnel through the barrier? Pick the closest answer. The electron mass is 9.10938 x 10-31 kg. O 8 x 107 O 8 × 10⁹ 3 x 10³ 6 x 104 4x 107 4 x 105 O 1 x 106 O 7 x 104 Ⓒ 9 × 105 O 7 x 106arrow_forwardIn a conductor of size 20 mm x 10 mmx 10 mm, the wavelength of the slowest moving free electron isarrow_forwardAn electron (restricted to one dimension) is trapped between two rigid walls 1.26 nm apart. The electron's energy is approximately 24 eV. a) What is the quantum number n for the energy state that the electron occupies? b) Based on the quantum number you found in part (a), calculate a more precise value for the electron's energy (in eV), expressed to at least three significant figures. (Use any physical constants or unit conversions to at least four significant figures in your calculations.)arrow_forward
- We are going to use Heisenberg's uncertainty principle to estimate the ground- state energy of hydrogen. In our model, the electron is confined in a one- dimensional well with a length about the size of hydrogen, so that Ax = 0.0529 nm. Estimate Ap, and then assume that the ground-state energy is roughly Ap2/2me. (Give your answer in Joules or electron-volts.)arrow_forwardThe terms state and energy level are not synonymous in quantum mechanics. For the particle in a cubic box, consider the energy range E < 20h2/8ma2. How many states lie in this range? How many energy levels lie in this range?arrow_forwardIn a particular semiconductor device, electrons that are accelerated through a potential of 5 V attempt to tunnel through a barrier of width 0.8 nm and height 10 V. What is the tunneling probability through the barrier If the potential is zero outside * ?the barrier 1.02 x 10-8 2.26 x 10-8 4.5 x 10-8 16.4 x 10-8 1.13 x 10-8arrow_forward
- The smallest observed frequency for a transition between states of an electron in a one-dimensional box is 3.0 X 10¹3 s¹. What is the length of the box?arrow_forwardA diatomic molecule behaves like a quantum harmonic oscillator with the force constant 12.0 N/m and mass 5.601026kg. (a) What is the wavelength of the emitted photon when the molecule makes the transition from the third excited state to the second excited state? (b) Find the ground state energy of vibrations for this diatomic molecule.arrow_forwardHelp me pleasearrow_forward
- What is the length of a one-dimensional box in which an electron in the n = 1 state has the same energy as a photon with a wavelength of 600 nm?arrow_forwardAn electron is trapped in an infinitely deep one-dimensional well of width 0,251 nm. Initially the electron occupies the n=4 state. Suppose the electron jumps to the ground state with the accompanying emission of photon. What is the energy of the photon?arrow_forwardFor a quantum particle of mass m in the ground state of a square well with length L and infinitely high walls, the uncertainty in position is Δx ≈ L. (a) Use the uncertainty principle to estimate the uncertainty in its momentum.(b) Because the particle stays inside the box, its average momentum must be zero. Its average squared momentum is then ⟨p2⟩ ≈ (Δp)2. Estimate the energy of the particle. (c) State how the result of part (b) compares with the actual ground-state energy.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles 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 LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
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
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