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The product of the two provided equations (with Z = 1) is the ground state wave function for hydrogen. Consider that the radius of a proton is R0 = 10-15 m. For the ground state wave function for hydrogen, find the probabilty of finding the electron inside the proton (essentially within a sphere of the proton's radius). (Hint: make the integral for this problem easier by noting that R0 << a0

The product of the two provided equations (with Z = 1) is the ground state wave function for hydrogen. Consider that the radius of a proton is R0 = 10-15 m. For the ground state wave function for hydrogen, find the probabilty of finding the electron inside the proton (essentially within a sphere of the proton's radius). (Hint: make the integral for this problem easier by noting that R0 << a0

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The product of the two provided equations (with Z = 1) is the ground state wave function for hydrogen.

Consider that the radius of a proton is R0 = 10-15 m. For the ground state wave function for hydrogen, find the probabilty of finding the electron inside the proton (essentially within a sphere of the proton's radius).

(Hint: make the integral for this problem easier by noting that R0 << a0.

Yo,o(0,0) = = √ 1 4π
Transcribed Image Text:Yo,o(0,0) = = √ 1 4π
R₁,0(r) = 2 Z 3/2 ao e-Zr/ao
Transcribed Image Text:R₁,0(r) = 2 Z 3/2 ao e-Zr/ao
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