Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 27 - Early Quantum Theory and Models of the Atom - General Problems - Page 801: 86

Answer

0.8 eV; No electrons would be ejected.

Work Step by Step

The work function may be found from the given information. A photon energy of 6.0 eV yields electrons with a stopping potential of 3.8 V, i.e., electrons with a maximum KE of 3.8 eV. From equation 27-5a, we see that the work function is 6.0 eV – 3.8 eV = 2.2 eV. Suppose that the photons’ wavelength were doubled. The photon energy is halved, from 6.0 eV to 3.0 eV. The maximum kinetic energy of ejected electrons is now 3.0 eV – 2.2 eV = 0.8 eV. Now suppose that the photons’ original wavelength were tripled. The photon energy is cut by a factor of 3, from 6.0 eV to 2.0 eV. This is less than the work function, so no electrons are ejected.
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