University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 38 - Photons: Light Waves Behaving as Particles - Problems - Exercises - Page 1275: 38.10

Answer

a) Stopping voltage $= 4.23V$ b)$K_{max} = 4.23eV$ c)Electron speed = $1.21\times 10^{6}m/s$

Work Step by Step

It may actually prove easier to find the most energetic kinetic energy, then the stopping voltage, for reasons that should become clear in a moment. $K = \frac{hc}{190nm} - 2.3eV = \frac{1240eV-nm}{190nm}-2.3eV$ b)$= 4.23eV$ The stopping voltage is just the voltage required to stop an electron with this, the maximum kinetic energy. a)$\frac{4.23eV}{e} = 4.23V$ Assuming that this electron's speed is nonrelativistic ($v
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