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  3. consider an electron in the 2s state of the hydrogen...

Question: consider an electron in the 2s state of the hydrogen...

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3. Probability in 3-Dimensions-Consider an electron in the 2s state of the hydrogen atom a. What are n, l, and mi for this state? b. Use tables 8.3 and 8.4 in the text to write down the wavefunction for this state, where num (r,0, Rnl (r) Yi (0,4) c. What is the Radial Probability Density for this state, where P (r) r2 R (r d. Calculate the probability that the electron will be found between r 34ao & You can evaluate the integral by hand or you may use a mathematical software package (like MAPLE) but you must include a printout of the solution. e. Examine the plot of Radial Probability Density versus radial distance in the Figure 8.11 on page 285 in the text. Take a close look at the plot for the 2s state and pay particular attention to the interval from r -4ao & r -7ao. Does your answer from part d of this problem make sense? Explain

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