Concept explainers
(a)
The threshold wavelength for photoemission.
(a)
Answer to Problem 27E
Thethreshold wavelength is
Explanation of Solution
Given that the work function is
Write the expression for the work function in terms of the threshold wavelength.
Here,
Solve Equation (I) for
Conclusion:
Substitute
Therefore, the threshold wavelengthis
(b)
The maximum kinetic energy of the emitted electrons.
(b)
Answer to Problem 27E
The maximum kinetic energy of the emitted electrons is
Explanation of Solution
Given that the wavelength of ultraviolet light is
Write the expression for the maximum kinetic energy of the ejected electrons.
Here,
Write the expression relating energy,
Here,
Use Equation (IV) in (III).
Conclusion:
Substitute
Therefore, the maximum kinetic energy of the emitted electrons is
(c)
The stopping potential.
(c)
Answer to Problem 27E
The stopping potentialis
Explanation of Solution
Write the expression for Einstein’s photoelectric equation.
Here,
Write the expression for frequency.
Use Equation (VII) in (VI) and solve for
Conclusion:
Substitute
Therefore, the stopping potentialis
Want to see more full solutions like this?
Chapter 26 Solutions
General Physics, 2nd Edition
- If the work function of a metal is 3.2 eV, what is the maximum wavelength that a photon can have to eject a photoelectron from this metal surface?arrow_forwardThe work function for potassium is 2.26 eV. What is the cutoff frequency when this metal is used as photoelectrode? What is the stopping potential when for the emitted electrons when this photo electrode is exposed to radiation of frequency 1200 THz?arrow_forwardWhat is the maximum kinetic energy of photoelectrons ejected from sodium by the incident radiation of wavelength 450 nm?arrow_forward
- What is the de Brogue wavelength of a proton whose kinetic energy is 2.0 MeV? 10.0 MeV?arrow_forwardWhat is the de Brogue wavelength of an electron that is accelerated from rest through a potential difference of 20 keV?arrow_forwardWhat is the wavelength of (a) a 12-keV X-ray photon; (b) a 2.O-MeV y -ray photon?arrow_forward
- The work function of a photoelectric surface is 2.00 eV. What is the maximum speed of the photoelectrons emitted from this surface when a 450-nm light falls on it?arrow_forwardWhat is the longest wavelength of radiation that can eject a photoelectron from silver? Is it in the visible range?arrow_forwardA 600-nm light falls on a photoelectric surface and electrons with the maximum kinetic energy of 0.17 eV are emitted. Determine (a) the work function and (b) the cutoff frequency of the surface. (c) What is the stopping potential when the surface is illuminated with light of wavelength 400 nm?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning