6) An electron in a box Goal: Understanding Heisenberg's uncertainty principle Suppose an electron is confined to a box that is about 0.50 x 10-10 m on a side. If this distance is taken as the uncertainty in the position of the electron, (a) Calculate the corresponding minimum uncertainty in the momentum. 2.1 x 10-2448 MIS Toiting toy had (2 alqisiting punom a graduazio sb 1 (b) Because the electron is confined to a stationary box, its average momentum is zero. The magnitude of the electron's momentum is nonzero, however. Assuming the magnitude of the electron's momentum is the same as its uncertainty in momentum, calculate the corresponding kinetic energy. 2.4×10 **J thaug = 0
6) An electron in a box Goal: Understanding Heisenberg's uncertainty principle Suppose an electron is confined to a box that is about 0.50 x 10-10 m on a side. If this distance is taken as the uncertainty in the position of the electron, (a) Calculate the corresponding minimum uncertainty in the momentum. 2.1 x 10-2448 MIS Toiting toy had (2 alqisiting punom a graduazio sb 1 (b) Because the electron is confined to a stationary box, its average momentum is zero. The magnitude of the electron's momentum is nonzero, however. Assuming the magnitude of the electron's momentum is the same as its uncertainty in momentum, calculate the corresponding kinetic energy. 2.4×10 **J thaug = 0
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter29: Atomic Physics
Section: Chapter Questions
Problem 48P
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Question
D 11.6
Transcribed Image Text:6) An electron in a box
Goal: Understanding Heisenberg's uncertainty principle
Suppose an electron is confined to a box that is about 0.50 x 10-10 m on a side. If this distance is
taken as the uncertainty in the position of the electron,
(a) Calculate the corresponding minimum uncertainty in the momentum. 2.1 x 10-2448 MIS
Toiting toy had (2
alqisiting punom a graduazio
sb 1
(b) Because the electron is confined to a stationary box, its average momentum is zero. The
magnitude of the electron's momentum is nonzero, however. Assuming the magnitude of the
electron's momentum is the same as its uncertainty in momentum, calculate the corresponding
kinetic energy. 2.4×10 **J
thaug = 0
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