1. A particle in an infinite well is in the ground state with energy 1.54 eV. How muchenergy must be added to reach the second excited state (n = 3)? The third excitedstate (n = 4)?2. An electron is trapped in a one-dimensional well of width 0.132 nm. The electron isin the n = 10 state. What is the energy of the electron? What is the uncertainty inits momentum?

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1. A particle in an infinite well is in the ground state with energy 1.54 eV. How much energy must be added to reach the second excited state (n = 3)? The third excited state (n = 4)?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 58P: An electron in a box is in the ground state with energy 2.0 eV. (a) Find the width of the box. (b)...

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The Bohr model

Students often get confused between Rutherford’s model and Bohr model of an atom. They interpret the postulates of both these models to be the same, which is incorrect. Rutherford’s model differs from Bohr’s model in the following ways:

Question

1. A particle in an infinite well is in the ground state with energy 1.54 eV. How much
energy must be added to reach the second excited state (n = 3)? The third excited
state (n = 4)?
2. An electron is trapped in a one-dimensional well of width 0.132 nm. The electron is
in the n = 10 state. What is the energy of the electron? What is the uncertainty in
its momentum?

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