Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 37 - The Foundation of Modern Physics - Exercises and Problems - Page 1082: 13

Answer

The largest possible value of the fundamental unit of charge is $1.33\times 10^{-19}~C$

Work Step by Step

We can find the difference between each successive charge: $(3.99\times 10^{-19}~C)-(2.66\times 10^{-19}~C) = 1.33\times 10^{-19}~C$ $(6.65\times 10^{-19}~C)-(3.99\times 10^{-19}~C) = 2.66\times 10^{-19}~C$ $(9.31\times 10^{-19}~C)-(6.65\times 10^{-19}~C) = 2.66\times 10^{-19}~C$ $(10.64\times 10^{-19}~C)-(9.31\times 10^{-19}~C) = 1.33\times 10^{-19}~C$ The largest possible value of the fundamental unit of charge is $1.33\times 10^{-19}~C$ We can see that each charge is a multiple of this value: $2\times (1.33\times 10^{-19}~C) = 2.66\times 10^{-19}~C$ $3\times (1.33\times 10^{-19}~C) = 3.99\times 10^{-19}~C$ $5\times (1.33\times 10^{-19}~C) = 6.65\times 10^{-19}~C$ $7\times (1.33\times 10^{-19}~C) = 9.31\times 10^{-19}~C$ $8\times (1.33\times 10^{-19}~C) = 10.64\times 10^{-19}~C$
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