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Bonus #3 - Name UT EID Bonus Problem Set 3 Instructor B A...

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Name:_________________ Ch 301 UT EID: _______________ Due Dates: September 18 (53760) Bonus Problem Set 3 September 19 (53750) Instructor: B. A. Rowland Score: ______ of 50 . For hydrogen atoms, the wave function for the state n = 3, l = 0, m l = 0 is ( 29 3 2 2 3 300 1 1 27 18 2 81 3 o e a σ ψ σ σ π - = - + where σ = r / a o and a o is the Bohr radius (5.29 x 10 -11 m). 1. Calculate the position of the nodes for this wave function (i.e. find the numerical values of r in meters). 2. Prove that the probability of finding the electron at these two nodes is indeed zero.
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