Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 30 - Quantum Physics - Problems and Conceptual Exercises - Page 1076: 84

Answer

Cesium

Work Step by Step

We can find the required suitable material as follows: The threshold wavelength $(\lambda_{\circ})$ for aluminum is given as $\lambda_{\circ}=\frac{hc}{W_{\circ}}$ $\implies \lambda=\frac{(6.63\times 10^{-34}J.s)(3.0\times 10^8m/s)}{4.28eV}$ $\implies \lambda=290.4nm$ This wavelength is not in the visible light wavelength range. Now for Lead $\lambda_{\circ}=\frac{hc}{W_{\circ}}$ $\implies \lambda_{\circ}=\frac{(6.63\times 10^{-34}J.s)(3.0\times 10^8m/s)}{4.25eV}$ $\implies \lambda_{\circ}=292.5nm$ This wavelength is not in the visible wavelength range. For Cesium, the threshold wavelength is given as $\lambda_{\circ}=\frac{hc}{W_{\circ}}$ We plug in the known values to obtain: $\lambda_{\circ}=\frac{(6.63\times 10^{-34}J.s)(3.0\times 10^8m/s)}{(2.14eV)(1.6\times 10^{-19}J/eV)}$ $\implies \lambda_{\circ}=580.9nm$ This wavelength is in the visible light wavelength range. Thus, Cesium metal surface is suitable for ejecting electrons from the metal surface for visible light.
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