An electron is trapped in a one-dimensional infinite potential well that is 100 pm wide, the electron is in its ground state. What is the probability that you can detect the electron in an interval of width Deltar 5.0 pm centered at x = (a) 25 pm, (b) 50 pm, and (c) 90 pm? (Hint: The interval Deltar is so narrow that you can take the probability density to be constant within it.)

An electron is trapped in a one-dimensional infinite potential well that is 100 pm wide, the electron is in its ground state. What is the probability that you can detect the electron in an interval of width Deltar 5.0 pm centered at x = (a) 25 pm, (b) 50 pm, and (c) 90 pm? (Hint: The interval Deltar is so narrow that you can take the probability density to be constant within it.)

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 90CP: In STM, an elevation of the tip above the surface being scanned can be determined with a great...

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Concept explainers

Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to represent a quantum state. The wave function completely describes the quantum system. This equation can be used to study the particles like electrons, protons and, neutrons. It is also used to study the structure of hydrogen atoms and harmonic oscillators.

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An electron is trapped in a one-dimensional infinite
potential well that is 100 pm wide, the electron is in its
ground state. What is the probability that you can
detect the electron in an interval of width Deltar 5.0 pm
centered at x (a) 25 pm, (b) 50 pm, and (c) 90 pm?
(Hint: The interval Deltar is so narrow that you can take
the probability density to be constant within it.)

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