Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 4 - Exponential Functions - Review Exercises and Problems for Chapter Four - Page 181: 77

Answer

About $97.7 \%$

Work Step by Step

The wavelength of blue light is $\lambda=475 \mathrm{~nm}$, and its absorption coefficient is $\mu(475)=0.000114$. We have $\begin{aligned} T_\lambda(200) & =e^{-\mu(475) \cdot 200} \\ & =e^{-0.000114(200)} \\ & =0.97746,\end{aligned}$ About $97.7 \%$ of blue light is transmitted.
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