PHYSICS FOR SCIEN & ENGNR W/MOD MAST
4th Edition
ISBN: 9780134112039
Author: GIANCOLI
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 38, Problem 34P
(a)
To determine
The wavelength of electron in free space.
(b)
To determine
The wavelength of electron when over the well.
(c)
To determine
The diagram showing potential energy and total energy as function of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
What do we need to do to average over Θ and ф to get the probability that the electron is inside a shell of radius r and thickness dr?
The wave function of an electron confined in a one-dimensional infinite potential well of
width L is
$₁₂(x)=√ √ √ ²/1₁ sin( -),
2 NTX
L
where n is a positive integer. If the electron is in the n = 5 state:
i) Calculate the probability of finding the electron between x = L and x = L.
ii)
Calculate the probability of finding the electron in an interval of width 0.04L located at
= = }L.
x
Consider an electron, a proton, and an alpha particle (a helium nucleus), each trapped separately in identical boxes. (i) Which particle corresponds to the highest ground-state energy? Also which particle have longest wavelength when system is in ground state
Chapter 38 Solutions
PHYSICS FOR SCIEN & ENGNR W/MOD MAST
Ch. 38.3 - Prob. 1AECh. 38.8 - Prob. 1BECh. 38.8 - Prob. 1CECh. 38.9 - Prob. 1DECh. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Would it ever be possible to balance a very sharp...Ch. 38 - Prob. 6Q
Ch. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10QCh. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 17QCh. 38 - Prob. 18QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46GPCh. 38 - Prob. 47GPCh. 38 - Prob. 48GPCh. 38 - Prob. 49GPCh. 38 - Prob. 50GPCh. 38 - Prob. 51GPCh. 38 - Prob. 52GPCh. 38 - Prob. 53GPCh. 38 - Prob. 54GPCh. 38 - Prob. 55GPCh. 38 - Prob. 56GPCh. 38 - Prob. 57GPCh. 38 - Prob. 58GPCh. 38 - Prob. 59GP
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
- Can the magnitude of a wave function (*(x,t)(x,t)) be a negative number? Explain.arrow_forwardSuppose a wave function is discontinuous at some point. Can this function represent a quantum state of some physical particle? Why? Why not?arrow_forwardWhen a quantum harmonic oscillator makes a transition from the (n+1) state to the n state and emits a 450-nm photon, what is its frequency?arrow_forward
- At what radius in Angstroms does the probability of finding an electron at a point in the ground state H atom fall to 70 per cent of its maximum value? (ans. in Angstroms)arrow_forwardThe planes of atoms in a particular cubic crystal lie parallel to the surface, 0.80 nm apart. X rays having wavelength 0.50 nm are directed at an angle θ to the surface. (a) For what values of θ will there be a strong refl ection? (b) What energy electrons could give the same result?arrow_forwardAn electron is confined to a one-dimensional infinite well 0.1 nm. wide. (a) Determine the deBroglie wavelength of the electron in the ground state. (b) What is the electron’s minimum kinetic energy? (c) What is the energy of the first excited state? (d) What energy is required to excite the electron from the ground state to the first excited state? (e) What wavelength photon would be emitted if the system were to de-excite from the first excited state to the ground state.arrow_forward
- 3) (a) Suppose, I have normalized the wave function at some point of time. The wave function evolves with time according to time dependent Schrodinger equation. How do I know that the wave function remains normalized after some time? [Hint: Show that –l4(x,t)|²dx = 0] dt (b) Show that d(p) %3D = (- dt ax i.e. expectation values follow Newton's law.arrow_forwardIf the particle in the box in the second excited state(i.e. n=3), what is the probability P that it is between x=L/2 and x=L/3 ?arrow_forwardIf in a box with infinite walls of size 2 nm there is an electron in the energy state n=1, find its (a) probability density, (b) the wave function and (c) the corresponding energy.arrow_forward
- (a) The position of an electron is known to within 14.5 Å (1.45×10-9 m). What is the minimum uncertainty in its velocity?(b) Repeat the calculation of part (a) for a helium atom.arrow_forwardAn electron inside a hydrogen atom is confined to with in a region of width 0.110 nm. What is the minimum uncertainty in the electron's velocity? (ħ = 1.055 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg)arrow_forwardII. A particle of mass m that is confined in a one-dimensional box of length L, i.e., x E (0, L), is described by the wave function: Ent Þ(x, t) = A sin (") exp in where n EN where n?n²h 2mL? where n EN En The wave function is zero outside the box. What is the position uncertainty and momentum uncertainty of the particle? (Calculate Ax and Ap)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 LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningUniversity 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
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
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning