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: 22

Answer

$7$

Work Step by Step

We know that $E_3=-(13.6eV)/(3^2)=-1.51eV$ $E_n=E_3+\Delta E=-1.51+1.23=-0.281eV$ $E_n=-\frac{13.6}{n^2}$ This can be rearranged as: $n=\sqrt{\frac{-13.6}{E_n}}$ $n=\sqrt{\frac{-13.6eV}{-0.281eV}}$ $n=7$
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