College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 27 - Quantum Physics - Learning Path Questions and Exercises - Exercises - Page 936: 40

Answer

binding energy (a) n=3, $B_{3}=1.51 eV$ (b) n=5, $B_{5}=0.544 eV$ (c) n=7, $B_{7}=0.2775 eV$

Work Step by Step

Energy of an electron in $n^{th}$ state $E_{n}=\frac{-13.6 eV}{n^{2}}$. Energy needed to free the electrons from this state = $-E_{n}$, and this energy is called binding energy. so binding energy of electron in $n^{th}$ state $B_{n}= -E_{n}=\frac{13.6 eV}{n^{2}}$. binding energy (a) n=3, $B_{3}=\frac{13.6 eV}{3^{2}}$=$1.51 eV$ (b) n=5, $B_{5}=\frac{13.6 eV}{5^{2}}$=$0.544 eV$ (c) n=7, $B_{7}=\frac{13.6 eV}{7^{2}}$=$0.2775 eV$
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