EP PHYSICS F/SCI.+ENGR.W/MOD..-MOD MAST
4th Edition
ISBN: 9780133899634
Author: GIANCOLI
Publisher: PEARSON CO
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 38, Problem 23P
(a)
To determine
The longest wavelength photon that an excited state of the given system emit.
(b)
To determine
The width of the well for the given conditions.
Expert Solution & Answer
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Students have asked these similar questions
(i) Is an electron a particle? Is it a wave? Explain your answer citing relevant experimental evidence. Calculate the De-Broglie wavelength of an electron having a kinetic energy of 1000eV. Compare the result with wavelength of X-rays having the same energy.
(b) An electron confined in a one dimensional box emits a 200 nm photon in a quantum jump from n =
2 to n = 1. What is the length of the box? The mass of an electron is 9.11 x 1031 kg.
(c) A proton confined in a one dimensional box emits a 2.0 MeV gamma-ray photon in a quantum jump
from n = 2 to n = 1. What is the length of the box? The mass of a proton is 1.67 x 1027 kg.
Consider an electron with a (non-relativistic) kinetic energy of 1 eV.
(i) What is the electron speed in m/s? What is the de Broglie wavelength of the electron?
(ii) Consider a beam of 1 eV electrons incident on a pair of very thin slits, separated by a
distance d, with an interference pattern seen on a screen 2 m beyond the slits. Find the
value of d such that the position of the first off-center bright fringe of the pattern is
located 0.5mm from the center of the pattern.
Chapter 38 Solutions
EP PHYSICS F/SCI.+ENGR.W/MOD..-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
- (i) Show that the classical Rayleigh-Jeans formula is a special case of Planck's radiation formula. (ii) Given a wave function of a particle as = Ae-ip/hy, confined such that 0arrow_forwardThe resolving power of a microscope depends on the wavelength used. If you wanted to “see” an atom, a wavelength of approximately 1.00 × 10-11 m would be required. (a) If electrons are used (in an electron microscope), what minimum kinetic energy is required for the electrons? (b) What If? If photons are used, what minimum photon energy is needed to obtain the required resolution?arrow_forwardA certain atom has an energy state 3.50 eV above the ground state. When excited to this state, the atom remains for 2.0 ms, on aver- age, before it emits a photon and returns to the ground state. (a) What are the energy and wavelength of the photon? (b) What is the smallest possible uncertainty in energy of the photon?arrow_forwardAn atom in an excited state of 4.7 eV emits a photon and ends up in the ground state. The lifetime of the excited state is 1.0 x 10-13 s. (a) What is the energy uncertainty of the emitted photon? (b) What is the spectral line width (in wavelength) of the photon?arrow_forwardAsaparrow_forward(I) Suppose the wave function for an electron at time t = 0 is given by (x,0) = /2/L sin(57x/L). Which one of the following is the wave function at time t? (a) p(x, t) = Vž sin(57x/L) cos(Est/h) (b) p(x, t) = Vž sin(57x/L)e-iEst/h (c) Both (a) and (b) above are appropriate ways to write the wave function. (d) None of the above. (II) The wave function for an electron at timet =0 is given by (x,0) = /? sin(57x/L). Which one of the following is true about the probability density, |p(x, t)², after time t? (a) [h(x, t)* = { sin²(57x/L) cos²(Est/h). (b) |Þ(x, t)P = Z sin?(57x/L)e¬i2Est/h. (c) |Þ(x,t)[² = } sin (57x/L) which is time-independent. (d) None of the above. 4arrow_forward(15) Electrons photo-emitted from a material in a UPS experiment can be viewed as free particles. A photon of wavelength 100 nm is absorbed by an electron that was in an orbital with an ionization energy IE of 8.41 eV. Use the relationship between kinetic energy and momentum (KE = p²/2m) and the quantum mechanical momentum operator p to solve for the exact unnormalized wavefunction of the electron that is photo-emitted from the orbital. Consider the +X direction only.arrow_forward(a) If a photon and an electron each have the same energy of 20.0 eV, find the wavelength of each. (b) If a photon and an electron each have the same wavelength of 250 nm, find the energy of each. (c) You want to study an organic molecule that is about 250 nm long using either a photon or an electron microscope. Approximately what wavelength should you use and which probe, the electron or the photon, is likely to damage the molecule the least?arrow_forward(b) Calculate the de Broglie wavelength of an electron having a mass of 9.11 x 10-31 kg and a charge of 1.602 x 10-19 J with a Kinetic energy of 110 eV. The value of the Planck’s constant is equal to 6.63 * 10-34 Js.arrow_forward(100) An clectron is confined to a region of space that is L distance long (this is the "particle in a box" problem discussed in class). Draw a diagram of the allowed wave functions for the electron's first four energy levels. Also draw the square of the wave functions on your diagram. What are the wavelengths of each of these wave functions? n = 4 E4 n = 3 Ез E2 E, For the fourth energy level, what is the probability of finding the clectron in the far left quarter of the box?arrow_forwardA certain atom has an energy state 3.50 eV above the ground state. When excited to this state, the atom remains for 2.0 ms, on average, before it emits a photon and returns to the ground state. (a) What are the energy and wavelength of the photon? (b) What is the smallest possible uncertainty in energy of the photon?arrow_forwardAn electron is trapped in a one-dimensional infinite well of the width 1angstrom. (i) calculate the lowest energy of the electron. (ii) Calculate the wavelength of the photon emitted when the electron makes transition from the first excited state to the ground state. (iii) In which region of the EM spectrum does this wavelength lie?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON