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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

University Physics Volume 3
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 7.4CYU: Check Your Understanding A sodium atom nukes a transition from the first excited state the wound...
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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
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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