Chemistry: A Molecular Approach (3rd Edition)

Published by Prentice Hall
ISBN 10: 0321809246
ISBN 13: 978-0-32180-924-7

Chapter 7 - Sections 7.1-7.6 - Exercises - Problems by Topic - Page 331: 53

Answer

$\lambda =1.1\times10^{-34}\,m$ The wavelength is too small and is therefore negligible. Wave nature of matter is not important for the baseball due to this reason.

Work Step by Step

Mass $m= 143\,g=0.143\,kg$ Velocity $v= 95\,mph=$ $95\,mi/h\times\frac{1609.344\,m}{1\,mi}\times\frac{1\,h}{3600\,s}$ $=42.4688\,m/s$ Wavelength $\lambda=\frac{h}{mv}$ $=\frac{6.626\times10^{-34}\,Js}{(0.143\,kg)(42.4688\,m/s)}$ $=1.1\times10^{-34}\,m$ The wavelength is too small and is therefore negligible. Wave nature of matter is not important for the baseball due to this reason.
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