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astraxan [27]
3 years ago
13

. Find the average distan e between the ele tron and proton in the Hydrogen ground-state. Use: hri = ˆ[infinity] 0 dr rP(r) wher

e ϕ(r) = Ae−r/aB is the ground-state solution of the radial S hrodinger equation for the Hydrogen atom (aB is Bohr's radius), and P(r) = 4πr2 |ϕ(r)| 2 is the probability density that the ele tron would be lo ated in the spheri al shell between r and r + dr. First normalize the wavefun tion to obtain the onstant A: ˆ[infinity] 0 dr P(r) = 1
Physics
1 answer:
CaHeK987 [17]3 years ago
7 0

Answer:

As data is given in the problem statement is below

ϕ(r) = Ae−r/aB

P(r) = 4πr2 |ϕ(r)| 2

r=0

After normalizing the distance between electron and proton will be 200 nm

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