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 1073: 3

Answer

See below

Work Step by Step

The skin temperature is $95^{o}$ F, which is 308.15 K. The frequency can be found using Wien's Displacement Law: $f_{peak}$ = 5.88 X $10^{10}$ X T $f_{peak}$ = 5.88 X $10^{10}$ X 308.15 = 1.8 X $10^{13}$ Hz. The wavelength and frequency are related as $\lambda $ f = c, where c is the speed of light. So $\lambda$ X 1.8 X $10^{13}$ = 3 X $10^{8}$ $\lambda$ = $\dfrac{3}{1.8} \times 10^{-5}$ m = $1.67 \times 10^{-5}$ m
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