Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 41, Problem 32P
(a)
To determine
The transmission coefficient.
(b)
To determine
The width of the barrier to increase the transmission coefficient by one in one million.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An electron having total energy E = 4.50 eV approaches a rectangular energy barrier with U = 5.00 eV and L = 950 pm as shown in Figure P40.21. Classically, the electron cannot pass through the barrier because E < U. Quantum-mechanically, however, the probability of tunneling is not zero.(b) To what value would the width L of the potential barrier have to be increased for the chance of an incident 4.50-eV electron tunneling through the barrierto be one in one million?
Electron transfer between redox centers in proteins is controlled by quantum tunneling. We can model the region between two redox centers as an energy barrier which the electron must cross. If the distance between the redox centers is 0.752 nm and the energy of the electron is 0.976 eV lower than the height of the barrier, what is the probability that the electron will successfully cross to the next redox center?
V (x) = 00,
V(x) = 0,
x<0,x 2 a
0
Chapter 41 Solutions
Physics for Scientists and Engineers With Modern Physics
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
Similar questions
- 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_forwardA 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?arrow_forwardThe energy of a proton is 1.0 MeV below the top of a 6.8-fm-wide energy barrier. What is the probability that the proton will tunnel through the barrier? (1 eV = 1.60 × 10-19 J, mproton = 1.67 × 10-27 kg, ħ = 1.055 × 10-34 J ∙ s, h = 6.626 × 10-34 J ∙ s)arrow_forward
- Particle is described by the wave function y = 0, x <0 and y = Ae¯*/L , x 2 0 a. Calculate A. b. Take L as 10 nm and calculate the probability of finding the particle in the region 1nm < x < 5nm.arrow_forwardA harmonic oscillator of mass m and angular frequency w is in the initial state of wavefunction Y(x, 0) = Ai¢o(x) + 2Ai¢2(x) 3. a. Obtain the constant A b. Write the function Þ(x, t) c. Calculate the uncertainties Ax and Ap in the state of wavefunction (x, t) and show that the Heisenberg uncertainty principle is satisfiedarrow_forwardThe probability of finding a particle moves in the left quarter of a one-dimensional box of length a for energy level n =2 is: A. 15% В. 20% C. 25% D. 35% E. 50% A C B C c C D C E Carrow_forward
- a. Calculate the minimum uncertainty in the position of an electron in meters, if its velocity has been measured to within 2.34e-06 m/s. For the mass of an electron use 9.10938356 × 10-31 kg and for huse 1.0545718 x 10-34 Js. m b. 44 = 141² = ² represents a: O the pitchfork operator O probability density O numerov program O wave function c. The sum of all the little bits of probability over possible measurements that can be made (i.e. over all space): S4²4 = 1 is called: O the quantum condition O the normalization condition O the human condition O the eignen conditionarrow_forwardThe table gives relative values for three situations for the barrier tunneling experiment of the figures. Electron Energy Barrier Height Barrier Thickness (a) 5E L (b) 17E L/2 (c) 2E 2L Energy V-0 V<0 V-0 Electron * 0 x l. Rank the situations according to the probability of the electron tunneling through the barrier. If multiple situations rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the rạnking would be A:Greatest, B:Greatest, C:Third greatest). If all situations rank equally, rank each as 'Greatest'. (a) (b) (c)arrow_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_forward
- As computer structures get smaller and smaller, quantum rules start to create difficulties. Suppose electrons move through a channel in a microprocessor. If we know that an electron is somewhere along the 50 nm length of the channel, what is Δνx? If we treat the electron as a classical particle moving at a speed at the outer edge of the uncertainty range, how long would it take to traverse the channel?arrow_forwardAn electron with a kinetic energy of 44.34 eV is incident on a square barrier with Up = 57.43 eV and w = 2.200 nm. What is the probability that the electron tunnels through the barrier? (Use 6.626 x 1034 j x S for h, 9.109 x 1031 kg for the mass of an electron, and 1.60 x 1019 C for the charge of an electron.)arrow_forwardTwo copper nanowires are insulated by a copper oxide nano-layer that provides a 10.0-eV potential barrier. Estimate the tunneling probability between the nanowires by 7.00-eV electrons through a 5.00-nm thick oxide layer. What if the thickness of the layer were reduced to just 1.00 nm? (Hint: the rest mass of the electron (m) = 511 keV/c2, ℏ = 0.1973 keVnm/c)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 Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning