Modern Physics, 3rd Edition
3rd Edition
ISBN: 9780534493394
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 7, Problem 14P
To determine
The estimate of the probability of marble that would escape through the wall of the box.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
For statistical problems in general: on a flat and level square the drunkard moves 3 steps and the distance for each step is 20 cm.
A. Find the probability that he is 20 cm to the right of the lamp.
B. All possible steps and a probability diagram is drawn.
Photos - B4.jpg
A See all photos
+ Add to
* Edit & Create v
IA Share
A particle of mass, m, moves freely inside an infinite potential well spanning the range, 0
Physics Department
PHYS4101 (Quantum Mechanics)
Assignment 2 (Fall 2020)
Name & ID#.
A three-dimensional harmonic oscillator of mass m has the potential energy
1
1
1
V(x.y.2) = ; mw*x² +mwży² +=mw;z?
where w1 = 2w
a. Write its general eigenvalues and eigenfunctions
b. Determine the eigenvalues and their degeneracies up to the 4th excited state
c. The oscillator is initially equally likely found in the ground, first and second excited states and
is also equally likely found among the states of the degenerate levels. Calculate the expectation
values of the product xyz at time t
Chapter 7 Solutions
Modern Physics, 3rd Edition
Knowledge Booster
Similar questions
- An electron approaches a 1.0-nm-wide potential-energy barrier of height 6.1 eV. You may want to review (Pages 1169 - 1172) Part A What energy electron has a tunneling probability of 10%? Express your answer to three significant figures and include the appropriate units. HÁ E = Value Units Submit Request Answer Part B What energy electron has a tunneling probability of 1.0%? Express your answer to three significant figures and ncluc appropriate units. ? E = Value Units Submit Request Answer Part C What energy electron has a tunneling probability of 0.10%? Express your answer to three significant figures and include the appropriate units. HA E = Value Units Submit Request Answerarrow_forwardWhat is the meaning of the expression "expectation value?" Explain.arrow_forwardSuppose an electron is confined to a region of length 0.1 nm (of the order of the size of a hydrogen atom) and its kinetic energy is equal to the ground state energy of the hydrogen atom in Bohr's model (13.6 eV). (a) What is the minimum uncertainty of its momentum? What fraction of its momentum is it? (b) What would the uncertainty in kinetic energy of this electron be if its momentum were equal to your answer in part (a)? What fraction of its kinetic energy is it?arrow_forward
- No Spacing Heading 1 Normal Aa v A A 困、 Paragraph Styles The action along a path is defined to be: S = [(K.E.-P. E.) dt Determine the physical units of action. Detail Feynman's approach to calculating the probability amplitude for an electron to go from one event A to another B using the "sum over all paths". A'Focus 12 1> 12arrow_forwardWhat constraints does the uncertainty principle place on our knowledge of the world? To get a sense of scale, we’ll look at the uncertainty in speed for a confined electron and for a confined dust particle.a. What range of velocities might an electron have if confined toa 0.30-nm-wide region, about the size of an atom?b. A 1.0@mm@diameter dust particle (m ≈ 10-15 kg) is confined within a 5-μm-long box. Can we know with certainty if the particle is at rest? If not, within what range is its velocity likely to be found?arrow_forwardFor a particle in a box, what would the probability distribution function Ic I2 look like if the particle behaved like a classical (Newtonian) particle? Do the actual probability distributions approach this classical form when n is very large? Explain.arrow_forward
- Suppose Fuzzy, a quantum-mechanical duck, lives in a world in which h = 2 J s. Fuzzy has a mass of 1.90 kg and is initially known to be within a pond 1.00 m wide. (a) What is the minimum uncertainty in the duck's speed? m/s (b) Assuming this uncertainty in speed to prevail for 4.90 s, determine the uncertainty in Fuzzy's position after this time. marrow_forwardThe creation of elements in the early universe and in stars involves protons tunneling through nuclei. Find the probability of the proton tunneling through 12C when the temperature of the star containing the proton and carbon is 12,000 Karrow_forwardCalculate the probability that a particle in a one- dimensional box of length a is found between 0.32a and 0.35a when it is described by the following wave functions: a. b. π.Χ. sin a √ sin (³7.x) a What would you expect for a classical particle? Compare your results for (a) and (b) with the classical result.arrow_forward
- What is the partition function for the system shown? a. b. C. d. E₁ Eo -Eo/KT + e-E₁/kT 2e-Eo/kT +3e-ElkT 3e¯ e-Eo/2kT + e-E₁/3kT e-2Eo/kT + e-³E₁/KTarrow_forwarda. 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_forwardConsider a wavefunction e-ax². a. Determine a value for a by normalizing the wavefunction. a= b. What is the probability that the particle will be found at a positive value of x? C. Determine dx =arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: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
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax