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The Normalized Wave Function for a Hydrogen Atom in the 1s

Question 16

Multiple Choice

The normalized wave function for a hydrogen atom in the 1s state is given by ψ(r) = The normalized wave function for a hydrogen atom in the 1s state is given by ψ(r)  =   e<sup>-</sup><sup>r/α</sup><sub>0</sub> where α<sub>0 </sub>is the Bohr radius, which is equal to 5.29 × 10<sup>-11</sup> m. What is the probability of finding the electron at a distance greater than 7.8 α<sub>0</sub> from the proton? A)  2.3 × 10<sup>-5</sup> B)  1.2 × 10<sup>-5</sup> C)  1.7 × 10<sup>-5</sup> D)  4.6 × 10<sup>-5</sup> E)  3.5 × 10<sup>-5</sup> e-r/α0 where α0 is the Bohr radius, which is equal to 5.29 × 10-11 m. What is the probability of finding the electron at a distance greater than 7.8 α0 from the proton?


A) 2.3 × 10-5
B) 1.2 × 10-5
C) 1.7 × 10-5
D) 4.6 × 10-5
E) 3.5 × 10-5

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