Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
5th Edition
ISBN: 9781305586871
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 29, Problem 58P
To determine

The probability of finding the electron farther than βa0 from the nucleus.

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= = Imagine that we have a box that emits electrons in a definite but unknown spin state y). If we send electrons from this box through an SGz device, we find that 20% are determined to have Sz +ħ and 80% to have S₂ -ħ. If we send electrons from this box through an SGx device, we find that 90% are determined to have Sx +ħ and 10% to have Sx Determine the state vector for electrons emerging from the box. You may assume that the vector components are real. -1/ħ. = -
The total probability of finding an electron in the hydrogen atom is related to the integral ∫ r2 e-2r/ao dr Where r is the distance of the electron from the nucleus and ao is the Bohr radius. Evaluate thisintegral.
An electron is in the ground state of the tritium atom for which the nucleus consists of one proton and two neutrons. Suppose the nucleus instantaneously changes into He”, consisting of two protons and a neutron due to a nuclear reaction. What is the probability that the electron is found in the ground state of the Heion? The is sometimes called the “sudden approximation”

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Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)

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