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P is the probability of finding the 1s electron of the hydrogen atom...

P is the probability of finding the 1s electron of the hydrogen atom in a spherical shell of infinitesimal thickness, dr, at a distance, r, from the nucleus. The volume of this shell is 4πr2dr. The qualitative sketch of the dependence of P on r is:
Solution:
For 1s, the radial part of the wave function is:
Ψ(r)=21a032e-ra0
Probability of finding an e in a spherical shell of thickness, 'dr' at a distance 'r' from the nucleus:
P=Ψr2.4πr2dr
=16πr21a03e-2ra0 dr
So, P is zero at r=0 and r=.

So, the plot of radial probability function, 4πr2dr.Ψr2 V/s r is as shown above.