University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 40, Problem 40.62P
(a)
To determine
The quantities
(b)
To determine
The width of barrier
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these 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 106
In 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 10-8
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 40 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 40.1 - Does a wave packet given by Eq. (40.19) represent...Ch. 40.2 - Prob. 40.2TYUCh. 40.3 - Prob. 40.3TYUCh. 40.4 - Prob. 40.4TYUCh. 40.5 - Prob. 40.5TYUCh. 40.6 - Prob. 40.6TYUCh. 40 - Prob. 40.1DQCh. 40 - Prob. 40.2DQCh. 40 - Prob. 40.3DQCh. 40 - Prob. 40.4DQ
Ch. 40 - If a panicle is in a stationary state, does that...Ch. 40 - Prob. 40.6DQCh. 40 - Prob. 40.7DQCh. 40 - Prob. 40.8DQCh. 40 - Prob. 40.9DQCh. 40 - Prob. 40.10DQCh. 40 - Prob. 40.11DQCh. 40 - Prob. 40.12DQCh. 40 - Prob. 40.13DQCh. 40 - Prob. 40.14DQCh. 40 - Prob. 40.15DQCh. 40 - Prob. 40.16DQCh. 40 - Prob. 40.17DQCh. 40 - Prob. 40.18DQCh. 40 - Prob. 40.19DQCh. 40 - Prob. 40.20DQCh. 40 - Prob. 40.21DQCh. 40 - Prob. 40.22DQCh. 40 - Prob. 40.23DQCh. 40 - Prob. 40.24DQCh. 40 - Prob. 40.25DQCh. 40 - Prob. 40.26DQCh. 40 - Prob. 40.27DQCh. 40 - Prob. 40.1ECh. 40 - Prob. 40.2ECh. 40 - Prob. 40.3ECh. 40 - Prob. 40.4ECh. 40 - Prob. 40.5ECh. 40 - Prob. 40.6ECh. 40 - Prob. 40.7ECh. 40 - Prob. 40.8ECh. 40 - Prob. 40.9ECh. 40 - Prob. 40.10ECh. 40 - Prob. 40.11ECh. 40 - Prob. 40.12ECh. 40 - Prob. 40.13ECh. 40 - Prob. 40.14ECh. 40 - Prob. 40.15ECh. 40 - Prob. 40.16ECh. 40 - Prob. 40.17ECh. 40 - Prob. 40.18ECh. 40 - Prob. 40.19ECh. 40 - Prob. 40.20ECh. 40 - Prob. 40.21ECh. 40 - Prob. 40.22ECh. 40 - Prob. 40.23ECh. 40 - Prob. 40.24ECh. 40 - Prob. 40.25ECh. 40 - Prob. 40.26ECh. 40 - Prob. 40.27ECh. 40 - Prob. 40.28ECh. 40 - Prob. 40.29ECh. 40 - Prob. 40.30ECh. 40 - Prob. 40.31ECh. 40 - Prob. 40.32ECh. 40 - Prob. 40.33ECh. 40 - Prob. 40.34ECh. 40 - Prob. 40.35ECh. 40 - Prob. 40.36ECh. 40 - Prob. 40.37ECh. 40 - Prob. 40.38ECh. 40 - Prob. 40.39ECh. 40 - Prob. 40.40ECh. 40 - Prob. 40.41ECh. 40 - Prob. 40.42PCh. 40 - Prob. 40.43PCh. 40 - Prob. 40.44PCh. 40 - Prob. 40.45PCh. 40 - Prob. 40.46PCh. 40 - Prob. 40.47PCh. 40 - Prob. 40.48PCh. 40 - Prob. 40.49PCh. 40 - Prob. 40.50PCh. 40 - Prob. 40.51PCh. 40 - Prob. 40.52PCh. 40 - Prob. 40.53PCh. 40 - Prob. 40.54PCh. 40 - Prob. 40.55PCh. 40 - Prob. 40.56PCh. 40 - Prob. 40.57PCh. 40 - Prob. 40.58PCh. 40 - Prob. 40.59PCh. 40 - Prob. 40.60PCh. 40 - Prob. 40.61PCh. 40 - Prob. 40.62PCh. 40 - Prob. 40.63PCh. 40 - Prob. 40.64CPCh. 40 - Prob. 40.65CPCh. 40 - Prob. 40.66CPCh. 40 - Prob. 40.67PPCh. 40 - Prob. 40.68PPCh. 40 - Prob. 40.69PPCh. 40 - Prob. 40.70PP
Knowledge Booster
Similar questions
- Chapter 38, Problem 074 Consider a potential energy barrier like that of the figure but whose height Uo is 8.6 eV and whose thickness L is 0.63 nm. What is the energy of an incident electron whose transmission coefficient is 0.0013? Energy --Ee Electron 0 L Number Unitsarrow_forwardIn studying the emission of electrons from metals it is necessary to take into account the fact that electrons with energy sufficient to escape from the metal can, according to quantum mechanics, undergo reflection at the surface of the metal. Consider a one-dimensional model with the potential V(x) = -Vo, x 0 (outside the metal). a. Write the general solution for the wavefunction of an electron of energy E>0 for x0 for x>0. c. Determine the reflection probability of an electron of energy E>0 at the surface of the metal (at x=0).arrow_forwardThe probability density function (PDF) for electrons to be detected on the x-axis between 0 nm and 1.0 nm is shown below. What is the probability of finding the electron between x = 0.5 nm and x = 1.0 nm? |w(x)* (nm') 2.0 1.0 0.5 x (nm) 1.0arrow_forward
- Consider the step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier of height VO with E > V0. The electrons are traveling in the x direction and they are originated from x = -o. i. (15 pts) Find the transmission coefficient between regions I and II. ii. (5 pts) Find the reflection coefficient between regions I and II iii. (10 pts) Assume the electron velocity is 4.6x105 cm/s, E = Your ClassV0. Find the probability that there is an electron at the distance "a = 4.6" A after the° barrier. iv. (5 pts) Determine the de Broglie wavelength in A?°arrow_forward4. A simple model of a radioactive nuclear decay assumes that alpha particles are trapped inside a nuclear potential well. An alpha particle is a particle made out of two protons and two neutrons and has a mass of 3.73 GeV/c². The nuclear potential can be modeled as a pair of barriers each with a width of 2.0 fm and a height of 30.0 MeV. Find the probability for an alpha particle to tunnel across one of the potential barriers if it has a kinetic energy of 20.0 MeV.arrow_forwardConsider the step potential function shown below. Assume that a flux of electrons has energy E and it is incident on a potential barrier of height V0 with E> VO. The electrons are traveling in the x direction and they are originated from x = -00. i. Find the transmission coefficient between regions I and II. ii. Find the reflection coefficient between regions I and II. ii. Assume the electron velocity is 7.5x10^5 cm/s, E = V0/0.15 Find the probability that there is an electron at the distance "a = 50" A° after the barrier. iv. Determine the de Broglie wavelength in A? * Please use Schrodinger theory V(x) Incident particles Vo Region I Region II x = 0 Figure 2. The step potential functionarrow_forward
- In 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 fraction of the electrons are able to tunnel through the barrier if the potential is zero outside the barrier?arrow_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? Select one: а. 0.004c b. 0.13c С. 0.063c d. 0.02carrow_forwardAn electron possessing the kinetic energy E approaches a potential barrier of the height U = 2E and tunnels through it. What is the kinetic energy energy of the electron afterwards?arrow_forward
- An alpha particle is a helium nucleus consisting of two protons and two neutrons. It is moving with a speed of 1.90 × 103 m/s. What is the momentum of the alpha particle? (Give answer in kg x m/s) а. b. If there is a 25% uncertainty in the momentum of this alpha particle, what is the minimum uncertainty in the position of the alpha particle? (Give your answer in meters)arrow_forwardAn 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 the quant numbers Nx and Ny, the allowed energies are given by E = H^2/8Me ( Nx^2/ Lx^2 + Ny^2/Ly^2) i) assuming Lx and Ly =L. Find the energies of the lowest for all energy levels of the electron ii) construct an energy level diagram for the electron and determine the energy difference between the second exited state and the ground state?arrow_forward5. A particle of mass m in a rectangular box with dimensions x, y, z has ground k² ( 1 1 + y? 1 state energy E(x, y, z) = where k is a physical constant. If + 8m x the volume of the box is fixed (say V =xyz ), find the values of x, y, and z that minimize the ground state energy.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning