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
Concept explainers
Question
Chapter 39, Problem 39.62P
(a)
To determine
The de Broglie wavelength of the electrons.
(b)
To determine
Time taken by the electrons to reach slit to the screen.
(c)
To determine
The uncertainty in the
(d)
To determine
Minimum uncertainty principle in the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A beam of 40 eV electrons traveling in the+x-directionpasses through a slit that is parallel to the y-axis and5.0 mm wide. The diffraction pattern is recorded on a screen 2.5 mfrom the slit. (a) What is the de Broglie wavelength of the electrons?(b) How much time does it take the electrons to travel from the slit tothe screen? (c) Use the width of the central diffraction pattern to calculatethe uncertainty in the y-component of momentum of an electronjust after it has passed through the slit. (d) Use the result of part(c) and the Heisenberg uncertainty principle [(Eq. 39.29) for y] toestimate the minimum uncertainty in the y-coordinate of an electronjust after it has passed through the slit. Compare your result to thewidth of the slit.
An electron beam is shot through 2 thin slits with spacing 4.000 x 10-6 m and land on a
detector 2.50 m away. The detector is 1.00 cm wide. You observe that the spacing of
interference fringes is 8.25 x 10-6 m.
(a) What is the wavelength of the electrons?
(b) What is the momentum of the electrons?
(c) What is the uncertainty in the momentum? (Hint: assume that the uncertainty in
position is the width of the detector.)
A single beam of electrons shines on a single slit of width 8.7nm. A diffraction pattern (of electrons!) is formed on a screen that is 3.9m away from the slit. The distance between the central bright spot and the first minimum is 5.7cm.What is the kinetic energy (keV, i.e. kilo electron-Volts) of the electrons?Make use of the small angle approximation.
Chapter 39 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 39.2 - Prob. 39.2TYUCh. 39.3 - Prob. 39.3TYUCh. 39.4 - Prob. 39.4TYUCh. 39.5 - Prob. 39.5TYUCh. 39.6 - Prob. 39.6TYUCh. 39 - Prob. 39.1DQCh. 39 - Prob. 39.2DQCh. 39 - Prob. 39.3DQCh. 39 - When an electron beam goes through a very small...Ch. 39 - Prob. 39.5DQ
Ch. 39 - Prob. 39.6DQCh. 39 - Prob. 39.7DQCh. 39 - Prob. 39.8DQCh. 39 - Prob. 39.9DQCh. 39 - Prob. 39.10DQCh. 39 - Prob. 39.11DQCh. 39 - Prob. 39.12DQCh. 39 - Prob. 39.13DQCh. 39 - Prob. 39.14DQCh. 39 - Prob. 39.15DQCh. 39 - Prob. 39.16DQCh. 39 - Prob. 39.17DQCh. 39 - Prob. 39.18DQCh. 39 - Prob. 39.19DQCh. 39 - Prob. 39.20DQCh. 39 - Prob. 39.21DQCh. 39 - When you check the air pressure in a tire, a...Ch. 39 - Prob. 39.1ECh. 39 - Prob. 39.2ECh. 39 - Prob. 39.3ECh. 39 - Prob. 39.4ECh. 39 - Prob. 39.5ECh. 39 - Prob. 39.6ECh. 39 - Prob. 39.7ECh. 39 - Prob. 39.8ECh. 39 - Prob. 39.9ECh. 39 - Prob. 39.10ECh. 39 - Prob. 39.11ECh. 39 - Prob. 39.12ECh. 39 - Prob. 39.13ECh. 39 - Prob. 39.14ECh. 39 - Prob. 39.15ECh. 39 - Prob. 39.16ECh. 39 - Prob. 39.17ECh. 39 - Prob. 39.18ECh. 39 - Prob. 39.19ECh. 39 - Prob. 39.20ECh. 39 - Prob. 39.21ECh. 39 - Prob. 39.22ECh. 39 - Prob. 39.23ECh. 39 - Prob. 39.24ECh. 39 - Prob. 39.25ECh. 39 - Prob. 39.26ECh. 39 - Prob. 39.27ECh. 39 - Prob. 39.28ECh. 39 - Prob. 39.29ECh. 39 - Prob. 39.30ECh. 39 - Prob. 39.31ECh. 39 - Prob. 39.32ECh. 39 - Prob. 39.33ECh. 39 - Prob. 39.34ECh. 39 - Prob. 39.35ECh. 39 - Prob. 39.36ECh. 39 - Prob. 39.37ECh. 39 - Prob. 39.38ECh. 39 - Prob. 39.39ECh. 39 - Prob. 39.40ECh. 39 - Prob. 39.41ECh. 39 - Prob. 39.42ECh. 39 - Prob. 39.43ECh. 39 - Prob. 39.44ECh. 39 - Prob. 39.45ECh. 39 - Prob. 39.46ECh. 39 - Prob. 39.47ECh. 39 - Prob. 39.48ECh. 39 - Prob. 39.49ECh. 39 - Prob. 39.50PCh. 39 - Prob. 39.51PCh. 39 - Prob. 39.52PCh. 39 - Prob. 39.53PCh. 39 - Prob. 39.54PCh. 39 - Prob. 39.55PCh. 39 - Prob. 39.56PCh. 39 - Prob. 39.57PCh. 39 - Prob. 39.58PCh. 39 - Prob. 39.59PCh. 39 - An Ideal Blackbody. A large cavity that has a very...Ch. 39 - Prob. 39.61PCh. 39 - Prob. 39.62PCh. 39 - Prob. 39.63PCh. 39 - Prob. 39.64PCh. 39 - Prob. 39.65PCh. 39 - Prob. 39.66PCh. 39 - Prob. 39.67PCh. 39 - Prob. 39.68PCh. 39 - Prob. 39.69PCh. 39 - Prob. 39.70PCh. 39 - Prob. 39.71PCh. 39 - Prob. 39.72PCh. 39 - Prob. 39.73PCh. 39 - Prob. 39.74PCh. 39 - Prob. 39.75PCh. 39 - Prob. 39.76PCh. 39 - Prob. 39.77PCh. 39 - Prob. 39.78PCh. 39 - Prob. 39.79PCh. 39 - Prob. 39.80PCh. 39 - A particle with mass m moves in a potential U(x) =...Ch. 39 - Prob. 39.82PCh. 39 - Prob. 39.83PCh. 39 - DATA In the crystallography lab where you work,...Ch. 39 - Prob. 39.85PCh. 39 - Prob. 39.86CPCh. 39 - Prob. 39.87CPCh. 39 - Prob. 39.88PPCh. 39 - Prob. 39.89PPCh. 39 - Prob. 39.90PPCh. 39 - Prob. 39.91PP
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
- A quantum mechanical oscillator vibrates at a frequency of 250.0 THz. What is the minimum energy of radiation it can emit?arrow_forwardWhat is the de Brogue wavelength of an electron that is accelerated from rest through a potential difference of 20 keV?arrow_forwardElectrons with an energy of 0.610 eV are incident on a double slit in which the two slits are separated by 40.0 nm. (a) What is the speed of these electrons? m/s (b) What is the de Broglie wavelength (in nanometers!) of these electrons? nm (c) What is the angle between the two second-order maxima in the resulting interference pattern?arrow_forward
- A single beam of electrons shines on a single slit of width 3.3nm. A diffraction pattern (of electrons!) is formed on a screen that is 2.1m away from the slit. The distance between the central bright spot and the first minimum is 2.1cm.What is the speed (m/s) of the electrons?Make use of the small angle approximation.arrow_forwardAn electron microscope produces electrons with a 2.00-pm wavelength. If these are passed through a 1.00-nm single slit, at what angle will the first diffraction minimum be found?arrow_forwardA single beam of electrons shines on a single slit of width 9.5nm. A diffraction pattern (of electrons!) is formed on a screen that is 7.6m away from the slit. The distance between the central bright spot and the first minimum is 1.9cm.What is the wavelength (nm) of the electrons?Make use of the small angle approximationarrow_forward
- Electrons go through a single slit 150 nm wide and strike a screen 24.0 cm away. You find that at angles of +/- 20.0 degrees from the center of the diffraction pattern, no electrons hit the screen but electrons hit at all points closer to the center. (a) How fast were these electrons moving when they went through the slit? (b) What will be the next larger angles at which no electrons hit the screen?arrow_forwardA crystal has regularly spaced atoms that can act like a diffraction grating (which has many evenly spaced slits). Diffraction patterns form when the wavelength of a photon is similar in size to the spacing between atoms. Consider a crystal where the atomic spacing is 0.23 nm, and a photon of wavelength equal to this spacing. What part of the electromagnetic spectrum is such a photon? O infrared Ovisible light O ultraviolet Ox-ray gamma ray What is the momentum of this photon? Pph = kg-m/s Note that you will need to use exponential notation for your answer. Express it using "E": 1.23 x1024 is entered as 1.23E24. Particles such as electrons can act like waves just as photons do. In fact, they can be diffracted in just the same way by a crystal. What momentum would an electron have if its wavelength equals that of the photon (per the previous answer)? kg-m/s (Use exponential notation as above) What is the velocity that such an electron would have? For reference, the electron mass is 9.11…arrow_forwardA metal surface is illuminated by light with a wavelength of 550 nmnm . The maximum kinetic energy of the emitted electrons is found to be 1.30 eV. What is the maximum electron kinetic energy if the same metal is illuminated by light with a wavelength of 450 nm ?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
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning