Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 38 - Quantization - Exercises and Problems - Page 1152: 23

Answer

(a) Since the kinetic energy of the electron is $2.00~eV$, which is greater than $1.50~eV$, the electron is able to excite the atom from the $n=1$ state to the $n = 2$ state. (b) The electron's kinetic energy after the collision is $~~0.50~eV$

Work Step by Step

(a) $E_3 = 4.00~eV$ $E_2 = 1.50~eV$ $E_1 = 0~eV$ The energy difference between the $n=1$ state and the $n = 2$ state is $1.50~eV$ Since the kinetic energy of the electron is $2.00~eV$, which is greater than $1.50~eV$, the electron is able to excite the atom from the $n=1$ state to the $n = 2$ state. (b) The atom will absorb $1.50~eV$ of energy from the electron. The electron's kinetic energy after the collision is $~~2.00~eV - 1.50~eV~~$ which is $~~0.50~eV$
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