Question

In the fundamental state of the hydrogen atom, evaluate the density ψ2 (r) and the radial deity of probability P (r) for the positions: (a) r = 0 and (b) r = rb. Explain the meaning of these quantities.

Answer 1

So fundamental state of hydrogen atom is

Which we write as

So we calculate

​​​​​​

And probability density

So at r =0 we get,

r=0 is position of nucleus obviously here we cannot find electron

And r= rb

Here probablity of finding the electron is Maximum and it depends on 1/rb . So this we define as radius of 1s orbit.