(Solution) - Consider the discussion of radial probability functions in A Closer -(2025 Original AI-Free Solution)

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Consider the discussion of radial probability functions in "A Closer Look" in Section 6.6. (a) What is the difference between the probability density as a function of r and the radial probability function as a function of r?
(b) What is the significance of the term4?r2 in the radial probability functions for the s orbital?
(c) Based on Figures 6.18 and 6.21, make sketches of what you think the probability density as a function of r and the radial probability function would look like for the 4s orbital of the hydrogen atom.