Physics Technology Update (4th Edition)

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

Chapter 31 - Atomic Physics - Problems and Conceptual Exercises - Page 1112: 20

Answer

a) $6.62\times 10^{-25}Kg.\frac{m}{s}$ b) $3.17\times 10^{-34}J.s$

Work Step by Step

(a) We can find the linear momentum of an electron as $P_n=mv_n=m(\frac{2\pi Ke^2}{nh})$ We plug in the known values to obtain: $P_3=9.11\times 10^{-31}(\frac{2\pi(8.99\times 10^9)(1.60\times 10^{-19})^2}{3(6.634\times 10^{-34})})$ $P_3=6.62\times 10^{-25}Kg.\frac{m}{s}$ (b) The angular momentum of an electron can be determined as $L_n=\frac{hn}{2\pi}$ We plug in the known values to obtain: $L_3=\frac{3h}{2\pi}$ $L_3=\frac{3(6.63\times 10^{-34})}{2\pi}$ $L_3=3.17\times 10^{-34}J.s$
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