Probability The probability function P(r) associated form the radial wave functi

Question

Probability

The probability function P(r) associated form the radial wave function for an election in excited Hydrogon (2p state n = 2 is given by: P(r) = r 4 e -r/r 1 / 24 r 5 1 where r 1= 0.53 times 10 -10 m (Bohr radius) Determine the three critical points associated with this radial probability function by evaluating dp/dr = 0 Regarding maxima and minima, deduce the most probable and least probable radial location the electron in this state. Interpret EACH critical point as it pertains to "Bohr atomic structure compare any results (or interpretations) to the Bohr theory for the n = 2 quantum state:

Explanation / Answer

1/24 r1^5 ( 4 r^3 *e^-(r/r1) - r^4/r1 e^-(r/r1) ) = 0

= r = 0 , infinity , 4 r1

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