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QUESTION: Approximately what is the "de Broglie" wavelength of an electron that has been accelerated through a potential difference of = 150 V? (The mass of an electron = 9.11 x 10-31 kg.) Possible answers: (a) 0.1 nm (b) 1 nm (c) 10 nm (d) 100 nm (e) 1000 nm The kinetic energy of an electron accelerated through a potential difference of V volts is given by the equation: � mv2 = eV where e is the electron charge (1.6x10-19 C) [You must be given the electron charge and Planck's constant in order to answer this question]. and so v = √(2eV/m) = 7.26x106 m/s Therefore: wavelength = h/mv = h/[9.11x10- 31x7.26x106] = 1x10-10 = 0.1 nm The correct answer is (a) A VERSION IN WORD IS AVAILABLE ON THE SCHOOLPHYSICS USB Recommended textbooks for you  College Physics Author:Raymond A. Serway, Chris Vuille Publisher:Cengage Learning University Physics (14th Edition) Author:Hugh D. Young, Roger A. Freedman Introduction To Quantum Mechanics Author:Griffiths, David J., Schroeter, Darrell F. Publisher:Cambridge University Press Physics for Scientists and Engineers Author:Raymond A. Serway, John W. Jewett Publisher:Cengage Learning Lecture- Tutorials for Introductory Astronomy Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden College Physics: A Strategic Approach (4th Editio... Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field College Physics ISBN:9781305952300 Author:Raymond A. Serway, Chris Vuille Publisher:Cengage Learning University Physics (14th Edition) ISBN:9780133969290 Author:Hugh D. Young, Roger A. Freedman Publisher:PEARSON Introduction To Quantum Mechanics ISBN:9781107189638 Author:Griffiths, David J., Schroeter, Darrell F. Publisher:Cambridge University Press Physics for Scientists and Engineers ISBN:9781337553278 Author:Raymond A. Serway, John W. Jewett Publisher:Cengage Learning Lecture- Tutorials for Introductory Astronomy ISBN:9780321820464 Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden Publisher:Addison-Wesley College Physics: A Strategic Approach (4th Editio... ISBN:9780134609034 Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field Publisher:PEARSON |
What is the de Broglie wavelength of an electron after being accelerated through a potential?
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